非线性初值问题的残差方法

IF 1.1 Q2 MATHEMATICS, APPLIED Computational Methods for Differential Equations Pub Date : 2020-11-01 DOI:10.22034/CMDE.2020.32830.1527

M. Adiyaman, B. Noyan

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摘要

本文利用残差法对非线性系统的初值问题进行了数值求解，该方法基于泰勒级数展开的残差函数最小化。给出了该方法的收敛性分析。该方法的显著特点是将非线性初值问题简化为线性方程组。为了强调该方法的准确性和潜力，我们对Lorenz系统和原发性HIV-1感染问题进行了数值求解

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Residual Method for Nonlinear System of Initial Value Problems

In this paper, the nonlinear system of initial value problems are solved numerically by using Residual method which is based on the minimizing residual function by the Taylor’s series expansion. The convergence analysis of the method is given. The significant feature of the method is reduction of nonlinear system of initial value problems to the system of linear equations. To emphasize the accuracy and potential of the method, we solve Lorenz system and primary HIV-1 infection problem numerically

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