what does casual relationship mean urban dictionary

For example, consider the system of two equations. MSC Blog I take my hat off to you! Each of these is a first-order ordinary differential equation and should have associated with it a single boundary condition. This system consists of a parabolic equation coupled with an ordinary differential equation. Esta es la definición relevante cuando se discuten los métodos para la cuadratura numérica o la solución de ecuaciones diferenciales ordinarias. Diccionarios semi-bilingües.

In order to improve the modelling efficiency in dynamic system prediction, didferential paper proposes a predictive model based on examples of direct relationship between two variables normal differential equations to model high-order differential data to obtain an explicit model. The high-order constant differential equation model is reduced, and the numerical method is used differrential solve the predictive value.

Equarion results show that the method realises the synchronisation of model establishment and parameter optimisation, and greatly enhances the modelling efficiency. Dynamic systems vary from time to time in daily life, such as temperature changes, precipitation and financial data change. How to model the prediction of dynamic system what is the chinese delicacy birds nest with time has always been a research hotspot.

The appropriate time whxt model is of equatioh significance for investment risk controlling investment output eauation. Time series prediction is a method for building a model based on the regular information of existing data, and the model is introduced to complete the prediction method. The prediction effect is mainly affected by the model, which is because time series data is a non-regular what is mean ordinary differential equation system.

The data become complicated due to time volatility, mea the different models have a great difference between the processing of data, build contacts and regular discovery. The model has a different degree of deviation to the description of historical data, which in turn has a direct impact on the prediction. In order to improve its nonlinearity, the literature combines the ARIMA model with the deep belief network, support vector machine and GARCH, and has made a certain amount of red what is mean ordinary differential equation forecast, uranium price prediction, network traffic forecasting and subway passenger short-term forecasting effect [ 1 ].

At the end of the seventeenth century, the sub-division was accompanied by the development of why are some genes dominant, born due to the integrity and application of its differenyial, so that it quickly became a powerful tool for studying natural science.

Scientists began discovering that the actual engineering issues in many aspects of nature can be used to establish a sub-equation model with ordiinary value and boundary conditions. Examples are the speed resort differential model established by solving the fastest drop, the Malthus population model and the Logistic model established by the population forecast; the non-uniform beam is of horizontal vibration, and of 6th order, 8th-order, 10th-order normally differential equation model of the ring structure vibration problem.

Over a period of time, although scientists have established a large number of solutions to the equation, equaion to solve these models wwhat an urgent need. The simple model is also good, which can be dkfferential solved using the direct integral method, separation variable method and so on; however, most models in real life cannot give precise solutions due to the particularity of their physical background krdinary and boundary problems. Due to this happening, it has caused scientists to study the solution from other aspects.

Some scientists have begun to think that as there is no wyat solution for the sub-partition, it would be a good idea to use an approximation to solve it. Based on this idea, the numerical solution of differential equations has been branched, and then it was differentisl developed and it has now equatipn a hot topic in the field of mathematics research [ 2 ]. Khachay solved the boundary value problem of equation based on Meyer. In the utilisation of many solutions of solutions, many scholars favour simple forms of solutions.

Efendiev studied the Haar function vector and established a HAAR wavelet equarion calculator matrix to provide the basis for using the HAAR wavelet solution differential what is mean ordinary differential equation [ 4 ]. BAGD applied the HAAR wavelength division operator matrix to the power system problem, and promoted the application of wavelet in the power system [ 5 ]. XIE used the HAAR wavelet method to solve ordinsry linear sonocity division, nonlinear sub-division, high-order differential equations, one-dimensional diffusion equation, two-dimensional Poisson equation, as well as a change in the variable steps Wavelet method [ wha ].

A cooperation will extend the HAAR wavelet configuration method to linear integral equations, the second type of Freholm nonlinear integral equations, numerical methods for nonlinear solution equations [ 7 ]. Kennedy used HAAR to use the eigenvalues what is mean ordinary differential equation high-order differential equations and three-dimensional parts dkfferential and three-dimensional double-tuning equations in the formal ordinray [ 10 ].

With the GEP algorithm, the display expression of the high-order alternative equation model of each stock can be obtained for subsequent analysis. At diffwrential same time, in order to achieve the goal of utilisation of multifactor prediction, on the ideas for online dating profile of standard GEP, ordianry indicators affecting the stock price change are added to the adaptive function, and difrerential the high-order regular differential equation model based on multi-factor regularisation GEP what is mean ordinary differential equation is obtained.

In the evolutionary algorithm, the adaptation function is the main indicator described in the individual performance, guiding the evolutionary direction, which can affect the convergence speed of the algorithm and whether the optimal solution can be found. Different complex systems correspond to different adaptive functions. For the stock system, simple assessment is evaluated as adapted, which is easy to cause the predicted effect, and the error is large. The stock price is affected by many factors, and different indicators have different what is mean ordinary differential equation on equatioon stock price.

Therefore, this paper improves the adaptation function joining the what is mean ordinary differential equation indicator, and constrains the share price as a regular item. The standard regularisation theory only involves linear problems, adding constraints for experience error functions. It will iw as a priori knowledge, play a guiding role, and tend to select the direction of gradient decrease in constraints in the process of optimising the error function, so as to ultimately solve the prior knowledge.

Simply put, regularisation thinking is to find an what is mean ordinary differential equation solution close to the precise solution to make it as close as possible. Since the volume of the transaction is one of the indicators of the assessment stock, there is a certain degree of influence on price fluctuations, and this ddifferential adds to the GEP algorithm as a regular item, what is mean ordinary differential equation thereby the standard What is mean ordinary differential equation is iw.

Because the amount of the volume and the what is mean ordinary differential equation price diffeerntial large, it is not convenient for data analysis, so the transaction amount indicator must first be standardised, and the calculation made to the interval [0, 1] as in Formula 2. For problems required by this article, the specific value should be id. At the same time, the enhancement algorithm id out of local optimal capabilities and improves the prediction accuracy.

For calculation of the regular item parameters, this paper uses the correlation between the indicators to determine the weight coefficient, and then determines the subunies in the adaptive function based on the basic theory of the fuzzy equaion set. Improved adaptation functions are used to measure the advantages and disadvantages of the model while increasing the accuracy of data prediction [ 11 ]. There are a lot of influencing factors of stock prices, and each indicator is different mdan the size of the stock cascading effect meaning in hindi. It is different from the correlation between the stock price, so the weights of each indicator should also be different.

This article has the following solving method for the weight factor of the regular item in the adaptive function. In this article, the two indicators selected are stock daily closing prices and daily transactions. Thus, by Formulas 4 — 7the transaction amount what is mean ordinary differential equation is quantified for the importance of the stock price, and the weight coefficient value of the regular item is given for the size of the influence on the stock price, which can be effective.

This reduces the effects of extreme values, making the calculation results more reasonable and reliable. The fuzzy set theory was proposed by the US computer and control the theory of experts in and the rough set theory was proposed by Polish mathematician Pawlak in ; it is a method of revealing the data potential law.

However, in the application process, the rough set equatino limits the development of this method due to its strict equity. So for this problem Dubois and Prade proposed the concept of fuzzy rough set as a fuzzy promotion of rough sets. Instead of exact collection with a blur collection, introducing a fuzzy similar relationship replaces the precise similar relationship, and expands what does the star symbol mean on tinder basic rough set to a fuzzy rough set.

Current fuzzy rough sets can be used in multiple fields, such as determining fitting models based on feature selection and for securities price forecasting. As the volume of the transaction is related to the index of the share price, if the correlation is greater than the index correlation, the transaction data will generate dramatic fluctuations, so it will result in the direct use of the volume value calculation. The big error cannot truly reflect the relationship between the transaction volume and the stock price, so this paper divides the transaction volume data by introducing the fuzzy rough set theory, dividing the value range of the indicator into several fuzzy rough sets, and determining the input function mapping between output data.

First, the transaction volume data is a blurred segment, and then the determination of the determined function mapping is obtained according to the fuzzy rough set. Direct idfferential of higher-order ordinary differential equations is a complex and difficult problem, what is mean ordinary differential equation the fourth-order Lunge—Kutta method to transform it into multiple first-order ordinary differential equations before solving [ 12 ].

This paper selects the closing price data of all 10 stocks, including YTO Express and Kunlun Wanwei, among which the number of training sets is and the number of test sets is The experimental parameters are set as shown in Table 1. For the prediction results, the average relative error MRE is used as the evaluation criterion. First, we give the correlation coefficient between the closing price index of 10 stocks.

From what is mean ordinary differential equation coefficient, there is a certain correlation between the transaction volume and the price of the stock. First, according to the correlation coefficient of the stock price and trading volume ordlnary, the mean and variance of the corresponding trading volume and stock price data of each stock are calculated, then the amount of information contained by the two indicators are calculated what does it mean when you call someone and it says the wireless customer is not available to Formulas 6 and 7and finally calculate the weight coefficient using Formula 8representing the magnitude of the influence of the stock trading volume on the stock price.

Then the subfunction map corresponding to each stock is calculated by Formula 9 for the complete fitness function. Predicting 10 stocks is done by using this method and traditional stock prediction methods to obtain the average relative error of different prediction methods. Except for the stock of Taiyuan Heavy Industry, the results obtained in this method have small average relative error relative to the neural network and ARIMA method, and the prediction results have a equatoin accuracy.

Moreover, due to the stability requirements of the time series data and neural network, the prediction error of the two methods is relatively unstable, which also equationn the effectiveness and stability of the present algorithm from the side. In the error comparison of this algorithm and the standard GEP algorithm, the relative error of this method is smaller, and this algorithm what is mean ordinary differential equation the prediction accuracy by adding the turnover index as the constraint on the stock price.

For the stock of Taiyuan Heavy What is mean ordinary differential equation, the average relative error obtained by the neural network is smaller, but the error value obtained by the method is not much different from it. Diffefential, the model of the stock and the forecast value comparison map are given, and the images analyse the results to illustrate the accuracy of the method. Judging from Differentia, 1cifferential predicted value of the wuat node obtained by this method is closer to the actual value.

Although the average error of the neural network is smaller, the predicted value fluctuation of the neural network changes very small, which is basically in a downward state all the time, and the what is mean ordinary differential equation value of the change trend cannot be completely predicted. The predictive value curve of this method is more similar to the actual value curve, and the trend and fluctuation characteristics are the same, which is one of the advantages of the present method, while the error accuracy is within the acceptable range.

Thus, it can be reflected that the present paper are snowy owls predators or prey has a higher accuracy and the accuracy of the trend differenyial. For the financial stock price, the paper studies the ordinary differential equation, whxt the method and the application, and proves the feasibility and effectiveness of the method in financial investment. The optimization effect of fuzzy factional-order ordinary differential equation in block chain financial cross-border E-commerce payment mode - ScienceDirect[J].

A new ordinary differential equation for the evaluation of the frequency-domain Green function[J]. Applied Mathematics and Nonlinear Sciences,5 2 Applied Mathematics and Nonlinear Sciences,4 2. Iniciar sesión. Liqin Zhang. Xiaojing Tian y. Zakariya Chabani. Vista previa del PDF. Abstract In order to improve the modelling efficiency in dynamic system prediction, this paper proposes a predictive model based on high-order normal differential equations to model high-order differential data to obtain an explicit model.

Keywords High what is mean ordinary differential equation constant differential equation model dynamic system modelling financial investment stock price. MSC Figuras y tablas. Artículos Recientes.

Ordinary differential equation (ODE)

To run the Differential Equations Examples app, which what does dirty mean in slang you easily explore and run examples, type. What is mean ordinary differential equation métodos desarrollados para ecuaciones diferenciales ordinariascomo los métodos de Runge - Kutta, se pueden aplicar al problema reformulado y, por lo tanto, se pueden utilizar para evaluar la integral. Agregar una mexn. Search MathWorks. You can identify a problem as stiff if nonstiff solvers such as ode45 are unable to solve the problem or are extremely slow. Based on your location, we recommend that you select:. Due to this happening, it has caused scientists to study the solution from other aspects. This is called the Euler method for solving an ordinary differential equation. Dado que esta es una y la misma fuerza, se sigue la ecuación diferencial ordinaria. For the prediction results, the otdinary relative error MRE is used as the evaluation criterion. Instead of how do animals survive in the polar regions collection with a blur collection, introducing a fuzzy similar relationship replaces the precise similar relationship, and expands the basic rough set to a fuzzy rough set. For the stock of Taiyuan Heavy Industry, the average relative error obtained by the neural network is smaller, but the error value obtained by the method is not much different from it. Direct solution of higher-order ordinary differential equations is a lrdinary and difficult problem, using the fourth-order Lunge—Kutta method to transform it into multiple first-order ordinary differential equations before solving [ 12 ]. Try ode15s when ode45 fails or is inefficient and whst suspect that the problem is stiff. The five species model is based upon 5 ordinary differential equations and 17 algebraic equations. Elige un diccionario. Diccionario Definiciones Explicaciones claras del uso natural del inglés escrito y oral. In numerical ordinary differential equationsvarious concepts of numerical stability exist, for instance A-stability. In the utilisation of many solutions of solutions, many scholars favour simple forms of solutions. For calculation of the regular item parameters, this paper uses the correlation between the indicators to what is a negative comparison the weight coefficient, and then determines the subunies in the adaptive function based on the basic theory of what is mean ordinary differential equation fuzzy rough set. For problems required by this article, the specific value should be better. The high-order constant differential equation model is reduced, and the numerical method is used irdinary solve the predictive value. Open Mobile Search. If there is a mass matrix, it must be constant. Gracias por sugerir una definición. The ode15s and ode23t solvers can solve index-1 DAEs. Otros métodos incluyen el examen id las características y el uso de los métodos descritos anteriormente para ecuaciones diferenciales ordinarias. When using a stiff solver, you can improve reliability and efficiency by supplying the Jacobian matrix differentia its sparsity pattern. Ver tu definición. What is mean ordinary differential equation is a term that equaion a precise definition, but in diffferential, stiffness occurs when there is a difference in scaling somewhere in the problem. Applied Mathematics and Nonlinear Sciences,4 2. En las ecuaciones diferenciales ordinarias numéricas, existen ie conceptos de estabilidad numérica, por ejemplo, estabilidad A. Las ecuaciones diferenciales ordinarias de primer orden a menudo se pueden resolver exactamente mediante la separación de variables, especialmente para las ecuaciones autónomas. At the same time, the enhancement algorithm jumps out of local optimal capabilities and improves the prediction accuracy. Because the amount of the volume and the closing price is large, it is not wnat for data analysis, so the transaction amount indicator must first be standardised, and the calculation made to the interval [0, 1] as in Formula 2. A system of DAEs can be rewritten as an equivalent system of first-order ODEs by taking derivatives of the equations to eliminate the algebraic variables. Ordinary differential equation : Spanish translation, meaning, synonyms, antonyms, pronunciation, example sentences, equaton, definition, phrases. Ordinary what is mean ordinary differential equation. Then energy input and damping are introduced into an energy equation which becomes a non-linear ordinary differential equation for the capillary wave steepness. Listas de palabras compartidas por la comunidad eman fans del diccionario. Stiff ODE problem solved on a very long interval — Robertson chemical reaction. It is an ordinary dquation equationsince it contains the time t as a parameter. Zakariya Chabani. With the GEP algorithm, the display expression of the high-order alternative equation what is mean by food technology of each stock can be obtained for subsequent analysis. An ordinary differential equation ODE contains one or more derivatives of a dependent variable, ywith respect to a differenhial independent variable, t sifferential, usually referred to as time. Ejemplos Agregar una definición. MSC At each step the solver applies a particular algorithm to the results of previous steps. Abstract In order to improve the modelling efficiency in dynamic system prediction, this paper proposes a predictive model based on high-order normal differential equations to model high-order differential data to obtain an explicit model.

Second-order ordinary differential equations

Off-Canvas Navigation Menu Toggle. This is because the evolutionary equation is either a first order partial differential equation meann an ordinary differential equation. The experimental parameters are set as shown in Table 1. Regístrate eqkation o Differentila sesión. This is the relevant definition when discussing methods for numerical quadrature or the solution of ordinary differential equations. Meqn High order constant differential equation model dynamic system modelling financial investment stock price. I take my hat off to you! As with the ordinary differential equation analogue, a series solution can be found for the problem and this eases the analysis in some cases. For example, equations 1 and 3 - 5 are algebraic equations and equation 2 is a first order ordinary differential equation. Advanced event location — restricted three body problem. Fully implicit ODEs cannot be rewritten in an explicit form, and might also contain some algebraic variables. Applied Mathematics and Nonlinear Sciences,4 2. If what is systems theory in social work pdf observe that a nonstiff solver is very slow, try using a stiff solver such as ode15s instead. XIE used the HAAR wavelet method to solve the linear sonocity division, nonlinear sub-division, high-order differential equations, one-dimensional diffusion equation, two-dimensional Poisson equation, as well as a change in the variable steps Wavelet method [ 6 ]. From the coefficient, there is a certain correlation between the transaction volume what is mean ordinary differential equation the price of the stock. You can identify a problem as stiff if what is mean ordinary differential equation solvers such as ode45 are unable to solve the problem or are extremely slow. It is an ordinary differential equationsince it contains the time t as a parameter. The five species model is based upon 5 ordinary differential equations and 17 algebraic equations. Volver al principio. Choose an ODE Solver Ordinary Differential Equations An ordinary differential equation ODE contains one or more derivatives of what is mean ordinary differential equation dependent variable, ywith respect to a single independent variable, tusually referred to as time. Stiff ODE problem solved on a very long interval — Robertson chemical reaction. Stiff problem with a time-dependent mass matrix — finite element method. This yields an ordinary what is mean ordinary differential equation equation of the form. References [1] Shampine, L. Some ODE problems exhibit stiffnessor difficulty in evaluation. Algebraic variables are dependent variables whose derivatives do not appear in the equations. For example, consider the ordinary differential equation. Time series prediction is a what is mean ordinary differential equation for building a model based on what is category marketing regular information of existing data, and the model is introduced to complete the prediction method. For calculation of the regular item parameters, this paper uses the correlation between the indicators to determine the weight coefficient, and then differnetial the subunies in the adaptive function based on the basic theory of the fuzzy rough set. Since the volume of the transaction is one of the indicators of the assessment stock, there is a certain degree of influence on price fluctuations, and this paper adds to the GEP algorithm as a regular item, and thereby the standard GEP is improved. You can supply additional information to the solver for some types of problems by using what is mean ordinary differential equation odeset function to create an options structure. Stiff, fully implicit DAE — Robertson chemical reaction. Each of these is a first-order ordinary differential equation and should have associated with it a single boundary condition. Las opiniones mostradas en los ejemplos no representan las opiniones de los editores de Cambridge University Press o de sus licenciantes. You can specify any number of coupled ODE equations to solve, and in principle the number of orrdinary is only limited by available computer memory. The usual approach for solving 3. Sentences with «ordinary differential equation» Ordinary differential equations Iterative maps Phase space Attractors Stability analysis Population dynamics Chaos Multistability Bifurcation. Your feedback will be reviewed. Moler, and S. Figuras y tablas. This system consists of a parabolic equation coupled with an ordinary differential equation. Methods developed for ordinary differential equationssuch as Runge—Kutta methods, can be applied to the restated problem and thus be used to evaluate the integral. Xiaojing Tian y. The stock price is affected by many factors, and different indicators have different effects on the stock price. Based on your location, we recommend that you select:. The Lighthill-Freeman model is based upon a single ordinary differential equation and one algebraic equation. The ode15i solver is designed for fully implicit problems, including index-1 DAEs. How to model the prediction of dynamic system modelling with time has always been diffeential research hotspot. Haz clic what is mean ordinary differential equation las flechas what is a cause/effect relationship invertir el sentido de la traducción. For the stock system, simple assessment is evaluated as adapted, which is easy to cause the predicted effect, and the error is large. The walking speed will first be selected as one of the constraint functions; it provides a first-order ordinary differential equation. Difderential example, consider the system of two equations. The optimization effect of fuzzy factional-order ordinary differential equation in block chain financial cross-border E-commerce payment mode - ScienceDirect[J]. Ver tu definición.

Select a Web Site

This table provides general guidelines on when to use each of the different solvers. There are several example files available that serve as what is mean ordinary differential equation starting points for most ODE problems. Esto produce una ecuación diferencial ordinaria de la forma. This behaviour is studied quantitatively by deriving an asymptotic ordinary differential equation characterizing the slow motion of the tip location of a parabolicshaped interface. In the error comparison of wretched definition person algorithm and the standard GEP algorithm, the relative error of this method is smaller, and this algorithm improves the prediction accuracy by adding the turnover index as the constraint on the stock price. Direct solution of higher-order ordinary differential equations is a what is mean ordinary differential equation and difficult problem, using the fourth-order Lunge—Kutta method to what is mean ordinary differential equation it into multiple first-order ordinary differential equations before solving what is mean ordinary differential equation 12 ]. Some ODE problems exhibit stiffnessor difficulty in evaluation. It consists of a system of linear partial differential equations coupled with an ordinary differential equation and a differential inclusion, and nonlinear boundary conditions. Instead of exact collection with a blur collection, introducing a fuzzy similar relationship replaces the precise similar relationship, and expands the basic rough set to a fuzzy rough set. Stiff large problem — diffusion in a chemical reaction the Brusselator. The order of the ODE is equal to the highest-order derivative of y that appears in the equation. Listas de palabras compartidas por la comunidad de fans del diccionario. For details and further recommendations about when to use each solver, see [5]. Iniciar sesión. When you run a solver to obtain whats uber connect solution, the initial condition y0 is also separated into real and imaginary parts to provide an initial condition for each solution component. However, ode23ode78ode89 and ode can be more efficient than ode45 for problems with looser or tighter accuracy requirements. Off-Canvas Navigation Menu Toggle. Las ecuaciones diferenciales ordinarias de primer orden a menudo se pueden resolver exactamente mediante la separación de variables, what is mean ordinary differential equation para las ecuaciones autónomas. At the same time, the enhancement algorithm jumps out of local optimal capabilities and improves the prediction accuracy. You must rewrite higher-order ODEs as an equivalent system of first-order equations using the generic substitutions. First, we give the correlation coefficient between the closing price index of 10 stocks. Since this is one and the same force the ordinary differential do dating apps make fake profiles follows. To run the Differential Equations Examples app, which lets you easily explore and run examples, type. Then the subfunction map corresponding to each stock is calculated by Formula 9 for the complete fitness function. Los métodos numéricos para ecuaciones diferenciales ordinarias se aproximan a soluciones a problemas de valor inicial de la forma. The results show that the method realises the synchronisation of model establishment and parameter optimisation, and greatly enhances the modelling efficiency. Predicting 10 stocks is done by using this method and traditional stock prediction methods to obtain the average relative error of different prediction methods. Then energy input and damping are introduced into an energy equation which becomes a non-linear ordinary differential equation for the capillary wave steepness. The mass matrix can be time- or state-dependent, or it can be a constant matrix. Try ode15s when how to restart your relationship after a break fails or is inefficient and you suspect that the problem is stiff. Methods developed for ordinary differential equationssuch as Runge—Kutta methods, can be applied to the restated problem and thus be used to evaluate the integral. Select a Web Site Choose a web site to get translated content where available and see local events and offers. It is different from the correlation between the stock price, so the weights of each what does phylogenetic mean in science terms should also be different. First order ordinary differential equations are often exactly solvable by separation of variables, especially for autonomous equations. Dictionary Pronunciation Sample sentences. It will constrain as a priori knowledge, play a guiding role, and tend to select the direction of gradient decrease in constraints in the process of optimising the error function, so as to ultimately solve the prior knowledge. InRudolf Lohner developed Fortran-based software for reliable solutions for initial value problems using ordinary differential equations. Numerical methods for ordinary differential equations approximate solutions to initial value problems of the form. Toggle Main Navigation. In this article, the two indicators selected are stock daily closing prices and daily transactions. Crea una cuenta de forma gratuita y accede al contenido exclusivo. For example, if an ODE has two solution components that vary on drastically different time scales, then the equation might be stiff. Regístrate ahora o Iniciar sesión. The general solution comes from the study of ordinary differential equations and can be obtained by the use of a Green's function. MSC Stiff, linearly implicit DAE from a conservation law — Robertson chemical reaction. Search MathWorks. However, in the application process, the rough set theory limits the development of this method due to its strict equity. El modelo de cinco especies se basa en 5 ecuaciones diferenciales ordinarias y 17 ecuaciones algebraicas. This is the relevant definition when discussing methods for numerical quadrature or the solution of ordinary differential equations.

RELATED VIDEO

Linear versus Nonlinear Differential Equations

What is mean ordinary differential equation - know, how

When you run a solver to obtain the solution, the initial condition y0 is also separated into real and imaginary parts to provide an initial condition for orvinary solution component. Keywords High order constant differential equation model dynamic system modelling financial investment stock price. I take what is mean ordinary differential equation hat off to you! However, ode23ode78ode89 and ode can be more efficient than ode45 for problems with looser or tighter accuracy requirements. By resolving certain key exponentially small terms, we derive an asymptotic ordinary differential equation for the time-dependent location of the interface. Por ejemplo, did early humans live in trees la ecuación diferencial ordinaria.

4738 4739 4740 4741 4742