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Paper 33

Stability of a Fourth-Order Family of Iterative Methods for Solving Nonlinear Problems

A. Cordero¹, L. Feng², A. Franqués¹ and J.R. Torregrosa¹

¹Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera, Spain
²Northwestern Polytechnical University, Shaanxi Province, P.R. China

doi:10.4203/ccp.105.33

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, "Stability of a Fourth-Order Family of Iterative Methods for Solving Nonlinear Problems", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 33, 2014. doi:10.4203/ccp.105.33

Keywords: nonlinear equation, iterative methods, basins of attraction, Burgers' equation.

Summary

In this paper a class of fourth-order methods for solving nonlinear equations and systems is presented. Some dynamical aspects of the family will be analyzed to determine themost stable members of the class. Moreover, a numerical estimation of the solution of Burgers' equation by using different elements of the family, is proposed.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 105 PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: Paper 33 Stability of a Fourth-Order Family of Iterative Methods for Solving Nonlinear Problems A. Cordero¹, L. Feng², A. Franqués¹ and J.R. Torregrosa¹ ¹Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera, Spain ²Northwestern Polytechnical University, Shaanxi Province, P.R. China doi:10.4203/ccp.105.33 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Stability of a Fourth-Order Family of Iterative Methods for Solving Nonlinear Problems", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 33, 2014. doi:10.4203/ccp.105.33 Keywords: nonlinear equation, iterative methods, basins of attraction, Burgers' equation. Summary In this paper a class of fourth-order methods for solving nonlinear equations and systems is presented. Some dynamical aspects of the family will be analyzed to determine themost stable members of the class. Moreover, a numerical estimation of the solution of Burgers' equation by using different elements of the family, is proposed. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £45 +P&P)
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