Generalized homotopy method for solving nonlinear differential equations

被引：0

作者：

Hector Vazquez-Leal

机构：

[1] University of Veracruz,Electronic Instrumentation and Atmospheric Sciences School

来源：

Computational and Applied Mathematics | 2014年 / 33卷

关键词：

Homotopy perturbation method; Nonlinear differential equations; 34L30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, a new tool for the solution of nonlinear differential equations is presented. The generalized homotopy method (GHM) provides highly accurate approximations of the differential equation using a few linear algebraic terms. In order to assess the benefits of this proposal, two nonlinear problems are solved and compared against other semi-analytic or numerical methods. The obtained results show that GHM is a powerful tool capable to generate highly accurate solutions.

引用

页码：275 / 288

页数：13

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