A new approach for the numerical solution for nonlinear Klein–Gordon equation

被引：0
|
作者：
Kumbinarasaiah S. [1 ]
机构：
[1] Department of Mathematics, Bangalore University, Bangalore
来源：
SeMA Journal | 2020年 / 77卷 / 4期
关键词：
Clique polynomials; Collocation method; Operational matrix; Partial differential equations;
D O I：
10.1007/s40324-020-00225-y
中图分类号：
学科分类号：
摘要：
In this article, we generated a new operational matrix of integration using Clique polynomials of complete graphs and also introducing a new numerical technique to solve nonlinear Klein–Gordon equation. These equations describe a variety of physical phenomena such as ferroelectric and ferromagnetic domain walls, and DNA dynamics. We obtain an approximate solution for the nonlinear Klein–Gordon equation using the present method by transforming a system of nonlinear algebraic equations. The proposed scheme is applied to some examples and compared with another method in the literature that demonstrates the effectiveness of this method. © 2020, Sociedad Española de Matemática Aplicada.
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收藏
页码：435 / 456
页数：21
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