Taylor -Fixed point homotopy for solving nonlinear algebraic problems

In this paper we tried to exploit homotopy approximation methods (HAM) for solving nonlinear algebraic equation NLAE. HAM can be considered as one of the new methods belong to the general classification of the computational methods which can be used to find the numerical solution of many types of...

Full description

Bibliographic Details
Main Authors: Hasan, Talib Hashim, Chowdhury, Md. Sazzad Hossien, Yamamura, Kiyotaka
Format: Conference or Workshop Item
Language:English
Published: 2010
Subjects:
Online Access:http://irep.iium.edu.my/2253/
http://irep.iium.edu.my/2253/1/Taylor-Fixed_Point_Homotopy_for_Solving_Nonlinear_Algebraic_Problem.pdf
id iium-2253
recordtype eprints
spelling iium-22532011-10-11T08:36:31Z http://irep.iium.edu.my/2253/ Taylor -Fixed point homotopy for solving nonlinear algebraic problems Hasan, Talib Hashim Chowdhury, Md. Sazzad Hossien Yamamura, Kiyotaka QA76 Computer software In this paper we tried to exploit homotopy approximation methods (HAM) for solving nonlinear algebraic equation NLAE. HAM can be considered as one of the new methods belong to the general classification of the computational methods which can be used to find the numerical solution of many types of the problems in science and engineering. In this work, we solved NLAE using fixed-point homotopy based on Taylor series. Numerical example is given to show the effectiveness of the purposed method using MATLAB language. 2010 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/2253/1/Taylor-Fixed_Point_Homotopy_for_Solving_Nonlinear_Algebraic_Problem.pdf Hasan, Talib Hashim and Chowdhury, Md. Sazzad Hossien and Yamamura, Kiyotaka (2010) Taylor -Fixed point homotopy for solving nonlinear algebraic problems. In: International Conference on Mathematical Applications in Engineering (ICMAE’10), 3 - 4 August 2010, Kuala Lumpur, Malaysia.
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA76 Computer software
spellingShingle QA76 Computer software
Hasan, Talib Hashim
Chowdhury, Md. Sazzad Hossien
Yamamura, Kiyotaka
Taylor -Fixed point homotopy for solving nonlinear algebraic problems
description In this paper we tried to exploit homotopy approximation methods (HAM) for solving nonlinear algebraic equation NLAE. HAM can be considered as one of the new methods belong to the general classification of the computational methods which can be used to find the numerical solution of many types of the problems in science and engineering. In this work, we solved NLAE using fixed-point homotopy based on Taylor series. Numerical example is given to show the effectiveness of the purposed method using MATLAB language.
format Conference or Workshop Item
author Hasan, Talib Hashim
Chowdhury, Md. Sazzad Hossien
Yamamura, Kiyotaka
author_facet Hasan, Talib Hashim
Chowdhury, Md. Sazzad Hossien
Yamamura, Kiyotaka
author_sort Hasan, Talib Hashim
title Taylor -Fixed point homotopy for solving nonlinear algebraic problems
title_short Taylor -Fixed point homotopy for solving nonlinear algebraic problems
title_full Taylor -Fixed point homotopy for solving nonlinear algebraic problems
title_fullStr Taylor -Fixed point homotopy for solving nonlinear algebraic problems
title_full_unstemmed Taylor -Fixed point homotopy for solving nonlinear algebraic problems
title_sort taylor -fixed point homotopy for solving nonlinear algebraic problems
publishDate 2010
url http://irep.iium.edu.my/2253/
http://irep.iium.edu.my/2253/1/Taylor-Fixed_Point_Homotopy_for_Solving_Nonlinear_Algebraic_Problem.pdf
first_indexed 2023-09-18T20:09:47Z
last_indexed 2023-09-18T20:09:47Z
_version_ 1777407400640249856