A homotopy analysis method for the nonlinear partial differential equations arising in engineering

被引：4

作者：

Hariharan G. ^{[1
]}

机构：

[1] Department of Mathematics, School of Humanities & Sciences, SASTRA University, Thanjavur, Tamilnadu

来源：

International Journal for Computational Methods in Engineering Science and Mechanics | 2017年 / 18卷 / 2-3期

关键词：

Cauchy reaction–diffusion equation; convergence analysis; gas dynamic equation; homotopy analysis method; one-dimensional Schordinger equation;

D O I：

10.1080/15502287.2017.1310151

中图分类号：

学科分类号：

摘要：

In this article, we have established the homotopy analysis method (HAM) for solving a few partial differential equations arising in engineering. This technique provides the solutions in rapid convergence series with computable terms for the problems with high degree of nonlinear terms appearing in the governing differential equations. The convergence analysis of the proposed method is also discussed. Finally, we have given some illustrative examples to demonstrate the validity and applicability of the proposed method. © 2017 Taylor & Francis Group, LLC.

引用

页码：191 / 200

页数：9

共 24 条

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