Exponential finite difference methods for solving Newell-Whitehead-Segel equation

被引：14
|
作者：
Hilal, Nayrouz [1 ]
Injrou, Sami [1 ]
Karroum, Ramez [1 ]
机构：
[1] Tishreen Univ, Dept Math, Latakia, Syria
来源：
ARABIAN JOURNAL OF MATHEMATICS | 2020年 / 9卷 / 02期
关键词：
65M06;
D O I：
10.1007/s40065-020-00280-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work presents two different finite difference methods to compute the numerical solutions for Newell-Whitehead-Segel partial differential equation, which are implicit exponential finite difference method and fully implicit exponential finite difference method. Implicit exponential methods lead to nonlinear systems. Newton method is used to solve the resulting systems. Stability and consistency are discussed. To illustrate the accuracy of the proposed numerical methods, some examples are delivered at the end.
引用
收藏
页码：367 / 379
页数：13
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