Homotopy perturbation-reproducing kernel method for nonlinear systems of second order boundary value problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Geng, Fazhan¹  Cui, Minggen² 

[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China

[2] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China

关键词: Analytical approximation;    Nonlinear systems of second order boundary value problems;    Reproducing kernel method;    Homotopy perturbation method;   

DOI  :  10.1016/j.cam.2010.10.040

来源: Elsevier

【 摘 要 】

In this paper, based on homotopy perturbation method (HPM) and reproducing kernel method (RKM), a new method is presented for solving nonlinear systems of second order boundary value problems (BVPs). HPM is based on the use of traditional perturbation method and homotopy technique. The HPM can reduce a nonlinear problem to a sequence of linear problems and generate a rapid convergent series solution in most cases. RKM is also an analytical technique, which can solve powerfully linear BVPs. Homotopy perturbation-reproducing kernel method (HP-RKM) combines advantages of these two methods and therefore can be used to solve efficiently systems of nonlinear BVPs. Three numerical examples are presented to illustrate the strength of the method. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free