Finding exact solutions of nonlinear PDEs using the natural decomposition method

被引：38

作者：

Rawashdeh, Mahmoud ^{[1
]}

Maitama, Shehu ^{[1
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 01期

关键词：

natural transform; Sumudu transform; Laplace transform; Adomian decomposition method; DIFFERENTIAL-EQUATIONS;

D O I：

10.1002/mma.3984

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we implement the natural decomposition method (NDM) to solve nonlinear partial differential equations. We apply the NDM to obtain exact solutions for three applications of nonlinear partial differential equations. The new method is a combination of the natural transform method and the Adomian decomposition method. We prove some of the properties that are related to the natural transform method. The results are compared with existing solutions obtained by other methods, and one can conclude that the NDM is easy to use and efficient. Copyright (C) 2016 John Wiley & Sons, Ltd.

引用

页码：223 / 236

页数：14

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