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...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2010
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| 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 |
| _version_ | 1848775977129213952 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:22:46Z |
| format | Proceeding Paper |
| id | iium-2253 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:22:46Z |
| publishDate | 2010 |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 Proceeding Paper 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. |
| spellingShingle | QA76 Computer software Hasan, Talib Hashim Chowdhury, Md. Sazzad Hossien Yamamura, Kiyotaka Taylor -Fixed point homotopy for solving nonlinear algebraic problems |
| title | 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_short | Taylor -Fixed point homotopy for solving nonlinear algebraic problems |
| title_sort | taylor -fixed point homotopy for solving nonlinear algebraic problems |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/2253/ http://irep.iium.edu.my/2253/1/Taylor-Fixed_Point_Homotopy_for_Solving_Nonlinear_Algebraic_Problem.pdf |