An Application for Nonlinear Partial Differential Equations Involving Mixed Partial Derivatives by Laplace Substitution Method

被引：1
|
作者：
Handibag, S. S. [1 ]
Karande, B. D. [2 ]
机构：
[1] Mahatma Basweshwar Mahavidyalaya, Dept Math, Latur 413512, Maharashtra, India
[2] Maharashtra Udayagiri Mahavidyalaya, Dept Math, Udgir, Maharashtra, India
来源：
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014) | 2014年 / 1637卷
关键词：
Laplace transform; Laplace substitution method; Mixed partial derivatives; PADE TECHNIQUE;
D O I：
10.1063/1.4904603
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we develop a method to obtain approximate solutions of nonlinear coupled partial differential equations involving mixed partial derivatives with the help of Laplace Substitution Method (LSM). The technique is based on the application of Laplace transform to nonlinear coupled partial differential equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this technique with the help of three examples and results of the present technique have closed agreement with exact solutions.
引用
收藏
页码：384 / 394
页数：11
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