Application of modified homotopy perturbation method for solving the augmented systems

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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.

论文关键词:65F10,65F50,Augmented system,Iterative method,Homotopy perturbation method,Accelerating parameter,Convergence

论文评审过程:Received 4 May 2008, Revised 22 January 2009, Available online 20 February 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.02.018