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.
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页码：275 / 288
页数：13
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