Method of lines and Runge-Kutta method for solving delayed one dimensional transport equation

被引：2

作者：

Karthick, S. ^{[1
]}

Mahendran, R. ^{[1
]}

Subburayan, V. ^{[1
]}

机构：

[1] SRM Inst Sci & Technol, Fac Engn & Technol, Dept Math, Kattankulathur 603203, Tamil Nadu, India

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2023年 / 28卷 / 03期

关键词：

Stable method; Runge-Kutta method; transport equation; method of lines; DIFFERENTIAL-DIFFERENCE EQUATION; MODELS; STABILITY;

D O I：

10.22436/jmcs.028.03.05

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we consider a delayed one dimensional transport equation. The method of lines with Runge-Kutta method is applied to solve the problem. It is proved that the present method is stable and convergence of order O(Delta t + h(-4)). Numerical examples are presented to illustrate the method presented in this article.

引用

页码：270 / 280

页数：11

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