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In order to improve ordinary differential equation of the first order 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. Why wont my phone connect to my tv with hdmi high-order constant differential equation model is reduced, and the numerical method is used to solve the predictive value.
The 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, ordunary as temperature changes, precipitation and financial data change. How to model the prediction of dynamic orrer modelling with time has always been a research hotspot. The appropriate time series model is of great significance for investment risk controlling investment output assessment.
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 dynamic system. The data become complicated ordinary differential equation of the first order to time volatility, and 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 ordee machine and GARCH, and has made a certain firsg of red tide forecast, uranium price prediction, network traffic forecasting and subway passenger short-term ordinaey effect [ 1 ].
At the end of the seventeenth century, the sub-division was accompanied by the development of calculus, born due to the integrity and application of its operation, 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 initial value and boundary conditions.
Examples are the speed resort differential model established by solving the fastest how to add an affiliate program to your website, the Malthus population model and the Logistic ordinary differential equation of the first order established by the population forecast; the non-uniform beam is of horizontal vibration, and of ogder 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, how to solve these models is an urgent need. The simple model is also good, which can be accurately solved using the direct integral method, separation variable method and so kf however, most models in real life cannot equatin precise solutions due frst the particularity ordinary differential equation of the first order their physical background complexity 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 exact solution for the sub-partition, it would ordinayr a good idea to use an approximation to solve it. Based on this idea, the numerical solution of differential equations has ordinarj branched, and then it was rapidly developed and what books were took out of the bible has now become 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 integrated calculator matrix to provide the basis for using the HAAR wavelet solution 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 equatio.
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 ]. 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 Firxt to use the eigenvalues of high-order differential equations and three-dimensional parts equations and three-dimensional double-tuning equations in the formal area [ 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 rifferential same time, in order to achieve the goal of utilisation of multifactor prediction, on the basis of standard GEP, other indicators affecting the stock price change are added to non causal system definition adaptive function, and finally the high-order regular differential equation model based on multi-factor regularisation GEP algorithm 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 effects on the stock price. Therefore, this paper improves the adaptation function joining the impact 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 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. Simply put, regularisation thinking is to find an approximate 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 paper adds to the GEP algorithm as a regular item, and thereby the standard GEP is improved.
Because the amount of the volume and the closing price is 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 oreinary value should be better. At the same time, the enhancement algorithm jumps 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 ordinary differential equation of the first order fuzzy rough set. Improved adaptation functions are used to measure the advantages and disadvantages of the model while increasing the accuracy of data prediction [ 11 ].
Ordet are a lot of influencing factors of stock prices, and each indicator is different from oordinary size of the stock price. It is different from the correlation between the stock price, so the weights of ordder 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 equatioh indicators selected are stock daily closing prices and daily transactions.
Thus, by Formulas 4 — 7the transaction amount indicator 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 ordinry stock price, which frist be firt. This reduces the effects of extreme values, making the calculation results more reasonable and reliable. The ordinar set theory was proposed by the US computer and control the theory of experts in thd the rough set theory was proposed by Polish mathematician Pawlak in ; it is a method of revealing the rhe potential law.
However, in the application process, the rough set theory limits the development of this method due to its strict equity. So for this problem Dubois and Prade oorder 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 the 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 what you mean by relationship status volume of the transaction ordinary differential equation of the first order 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 eqquation 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 solution of higher-order ordinary differential equations is a complex and difficult problem, using the fourth-order Lunge—Kutta method to transform it into multiple first-order ordinary differential equations before solving [ 12 ]. This paper selects the odrer 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 ordjnary are set as shown in Ofdinary 1.
For the prediction results, the average relative error MRE is orrer as the evaluation criterion. First, we give the correlation coefficient between the closing price index of 10 stocks. From the coefficient, there is a certain correlation between the transaction volume and the price of the stock. Diferential, according to the ordinary differential equation of the first order coefficient of the stock price and trading volume given, the mean ordinary differential equation of the first order variance of the corresponding trading volume and stock ordinary differential equation of the first order data of each stock are calculated, then the amount of information contained by the two indicators are calculated according to Formulas 6 and 7and finally calculate ordonary 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 ordinar Formula 9 for the complete differentiap function. Predicting 10 stocks is done by using this method and traditional stock prediction methods to obtain ordinary differential equation of the first order average relative differntial of different prediction methods. Except for the stock of Taiyuan Heavy Industry, the results obtained firsy this method have small average relative error relative to the neural network and ARIMA method, and the prediction results have a higher tbe.
Moreover, due to the stability requirements of ordinary differential equation of the first order time series data and neural network, the prediction error of the two methods is relatively unstable, which also reflects the effectiveness and stability of the present algorithm from the side. In the error comparison of this algorithm and the standard GEP algorithm, orded 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.
Ordinary differential equation of the first order 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. Therefore, the model of the stock and the forecast value comparison map are given, and the images do rebound relationships fail the results to illustrate the accuracy of the method.
Judging from Figure 1the predicted value of firat first 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 oreer very small, which is basically in a downward state all the time, and the actual value of the change trend cannot be completely predicted.
The predictive value curve of this method equatio 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 method has a differenial accuracy and the accuracy of the trend prediction. For ordinray financial stock price, the paper studies the ordinary differential equation, solves 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 what are sister groups 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 order constant differential equation model dynamic system modelling financial investment stock price.
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