Modified Homotopy Perturbation Technique for the Approximate Solution of Nonlinear Equations. (18th February 2014)

• Record Type: Journal Article
• Authors: Shah, Farooq Ahmed
• Other Names: Calvo T. Academic Editor.; Guo Q. Academic Editor.; Song X. Academic Editor.
• Is Part Of: Chinese journal of mathematics. Volume 2014(2014)
• Publication Date: 2014-02-18
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals
• DOI: 10.1155/2014/787591
• Languages: English
• ISSNs: 2314-8071

Abstract

Abstract : We use a new modified homotopy perturbation method to suggest and analyze some new iterative methods for solving nonlinear equations. This new modification of the homotopy method is quite flexible. Various numerical examples are given to illustrate the efficiency and performance of the new methods. These new iterative methods may be viewed as an addition and generalization of the existing methods for solving nonlinear equations.