New Higher Order Multi-step Methods for Solving Scalar Equations (RETRACTED PAPER)


Authors

Shin Min Kang - Department of Mathematics and the RINS, Gyeongsang National University, Jinju 52828, Korea. Faisal Ali - Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan. Arif Rafiq - Department of Mathematics and Statistics, Virtual University of Pakistan, Lahore 54000, Pakistan. Muhammad Asgher Taher - Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan. Young Chel Kwund - Department of Mathematics, Dong-A University, Busan 49315, Korea.


Abstract

We introduce and analyze two new multi-step 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.


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ISRP Style

Shin Min Kang, Faisal Ali, Arif Rafiq, Muhammad Asgher Taher, Young Chel Kwund, New Higher Order Multi-step Methods for Solving Scalar Equations (RETRACTED PAPER), Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 1306--1315

AMA Style

Kang Shin Min, Ali Faisal, Rafiq Arif, Taher Muhammad Asgher, Kwund Young Chel, New Higher Order Multi-step Methods for Solving Scalar Equations (RETRACTED PAPER). J. Nonlinear Sci. Appl. (2016); 9(3):1306--1315

Chicago/Turabian Style

Kang, Shin Min, Ali, Faisal, Rafiq, Arif, Taher, Muhammad Asgher, Kwund, Young Chel. "New Higher Order Multi-step Methods for Solving Scalar Equations (RETRACTED PAPER)." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 1306--1315


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