A numerical scheme for the blow-up time of solutions of a system of nonlinear ordinary differential equations

被引：1

作者：

Perez, Aroldo ^{[1
]}

Villa-Morales, Jose ^{[2
]}

机构：

[1] Univ Juarez Autonoma Tabasco, Div Acad Ciencias Basicas, Centro, Tabasco, Mexico

[2] Univ Autonoma Aguascalientes, Dept Matemat & Fis, Av Univ 940, Aguascalientes 20131, Aguascalientes, Mexico

来源：

APPLIED NUMERICAL MATHEMATICS | 2022年 / 171卷 / 442-452期

关键词：

Finite difference method; Numerical blow-up time; System of ordinary nonlinear differential equations; NONLOCAL TRANSFORMATIONS; EULER METHOD; BEHAVIOR; APPROXIMATION; INTEGRATION;

D O I：

10.1016/j.apnum.2021.09.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the method of finite differences we propose a numerical blow-up time for a system of nonlinear ordinary differential equations, such system is defined by means of some parameters. Under certain conditions, on the parameters, the system blow-up in finite time. We introduce a numerical time and prove that this converges to the exact blow-up time and an error estimate is also given. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：442 / 452

页数：11

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