Differential Transform Method for Solving the Linear and Nonlinear Westervelt Equation

被引：0
|
作者：
Bagheri, M. [1 ]
Manafianheris, J. [2 ]
机构：
[1] Islamic Azad Univ, Dept Math, Ahar Branch, Math, Ahar, Iran
[2] Islamic Azad Univ, Dept Math, Appl Math, Ahar Branch, Ahar, Iran
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2012年 / 6卷 / 03期
关键词：
Comp. op. differential transform method; westervelt equation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a differential transform method (DTM) is used to find the numerical solution of the linear and nonlinear Westervelt equation. Exact solution can also be achieved by the known forms of the series solution. In this paper, we present the definition and operation of the three-dimensional differential transform and investigate the particular exact solution of system of partial differential equations that usually arise in applied mechanic by a three-dimensional differential transform method. The numerical result of the present method is presented and compared with the exact solution that is calculated by the Laplace transform method.
引用
收藏
页码：81 / 91
页数：11
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