A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations

被引：19

作者：

Gu, Wei ^{[1
]}

Wang, Peng ^{[2
]}

机构：

[1] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China

[2] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

STABILITY;

D O I：

10.1155/2014/560567

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A linearized Crank-Nicolson difference scheme is constructed to solve a type of variable coefficient delay partial differential equations. The difference scheme is proved to be unconditionally stable and convergent, where the convergence order is two in both space and time. A numerical test is provided to illustrate the theoretical results.

引用

页数：6

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