Approximate analytical solutions of nonlinear differential equations using the Least Squares Homotopy Perturbation Method

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:448

Article

Bota, Constantin¹  Caruntu, Bogdan¹ 

[1] Politehn Univ Timisoara, Dept Math, P Ta Victoriei 2, Timisoara 300006, Romania

关键词: Least Squares Homotopy;    Perturbation Method;    Nonlinear differential equations;    Approximate analytical solution;    Homotopy Perturbation Method;   

DOI  :  10.1016/j.jmaa.2016.11.031

来源: Elsevier

【 摘 要 】

In the present paper we introduce a new method to compute approximate analytical solutions for nonlinear differential equations, called the Least Squares Homotopy Perturbation Method. The method is based on the well-known Homotopy Perturbation Method and its main feature is an accelerated convergence compared to the regular Homotopy Perturbation Method. The comparison with previous results emphasizes the high accuracy of the method. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free