Generalized homotopy method for solving nonlinear differential equations

被引：21
|
作者：
Vazquez-Leal, Hector [1 ]
机构：
[1] Univ Veracruz, Elect Instrumentat & Atmospher Sci Sch, Xalapa 91000, Veracruz, Mexico
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2014年 / 33卷 / 01期
关键词：
Homotopy perturbation method; Nonlinear differential equations; VARIATIONAL ITERATION METHOD; PERTURBATION METHOD; HEAT-TRANSFER; SCHRODINGER-EQUATIONS; NUMERICAL-SOLUTION; EPIDEMIC MODEL; FLOW; TRANSFORM; OSCILLATORS; CONVERGENCE;
D O I：
10.1007/s40314-013-0060-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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
收藏
页码：275 / 288
页数：14
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