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

被引：1
|
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
收藏
页码：270 / 280
页数：11
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