Application of modified homotopy perturbation method for solving the augmented systems

Authors:
Xinlong Feng;Yinnian He;Jixiang Meng
Affiliations:
College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China;College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China and Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China;College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

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.