An Analysis of the Theta-Method for Pantograph-Type Delay Differential Equations

被引：2

作者：

Rihan, Fathalla A. ^{[1
]}

Rihan, Ahmed F. ^{[2
]}

机构：

[1] United Arab Emirats Univ, Coll Sci, Dept Math Sci, Al Ain 15551, U Arab Emirates

[2] United Arab Emirates Univ, Coll Engn, Dept Elect Engn, Al Ain 15551, U Arab Emirates

来源：

COMPLEXITY | 2022年 / 2022卷

关键词：

STABILITY ANALYSIS;

D O I：

10.1155/2022/8961352

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The pantograph equation arises in electrodynamics as a delay differential equation (DDE). In this article, we provide the theta-method for numerical solutions of pantograph equations. We investigate the stability conditions for the numerical schemes. The theoretical results are verified by numerical simulations. The theoretical results and numerical simulations show that implicit or partially implicit theta-methods, with theta > 1/2, are effective in resolving stiff pantograph problems.

引用

页数：8

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