Application of modified homotopy perturbation method for solving the augmented systems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:231

Article

Feng, Xinlong²  He, Yinnian^1,2  Meng, Jixiang² 

[1] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

关键词: Augmented system;    Iterative method;    Homotopy perturbation method;    Accelerating parameter;    Convergence;   

DOI  :  10.1016/j.cam.2009.02.018

来源: Elsevier

【 摘 要 】

In this paper, a new approach is proposed for solving the augmented systems. Based on the modified homotopy perturbation method, we construct the new iterative methods and derive the sufficient and necessary conditions for guaranteeing its convergence. Some numerical experiments show that this method is more simple and effective. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free