Title of article
New Higher Order Multistep Methods for Solving Scalar Equations
Author/Authors
Kang ، Shin Min - Gyeongsang National University , Ali ، Faisal - Bahauddin Zakariya University , Rafiq ، Arif - Virtual University of Pakistan , Taher ، Muhammad Asgher - Bahauddin Zakariya University , Kwund ، Young Chel - Dong-A University
Pages
10
From page
1306
To page
1315
Abstract
We introduce and analyze two new multistep iterative methods with convergence order four and five based on modified homotopy perturbation methods, using the system of coupled equations involving an auxiliary function. We also present the convergence analysis and various numerical examples to demonstrate the validity and efficiency of our methods. These methods are a good addition and also a generalization of the existing methods for solving nonlinear equations.
Keywords
Iterative methods , nonlinear equations , order of convergence , auxiliary function , modified homotopy method.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2475805
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