A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution
© 2015 IEEE.In this paper, we introduced a new variant called Modified Arithmetic Mean iterative method (MAM) from standard Arithmetic Mean (AM)iterative method for the solution of fourth order Fredholm Integro-differential equations. The proposed method has been derived with some relevant theories...
| Main Authors: | , , , |
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| Format: | Conference Paper |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/52219 |
| _version_ | 1848758875712389120 |
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| author | Aruchunan, E. Wu, Yong Hong Wiwatanapataphee, Benchawan Jitsangiam, Peerapong |
| author_facet | Aruchunan, E. Wu, Yong Hong Wiwatanapataphee, Benchawan Jitsangiam, Peerapong |
| author_sort | Aruchunan, E. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2015 IEEE.In this paper, we introduced a new variant called Modified Arithmetic Mean iterative method (MAM) from standard Arithmetic Mean (AM)iterative method for the solution of fourth order Fredholm Integro-differential equations. The proposed method has been derived with some relevant theories and proof to validate the convergence. In addition, the formulation and implementation of the proposed method in solving some well-posed problems are also presented and investigated based on a number of iterations, CPU time and Root Square Mean Error (RSME). Numerical simulation and comparisons have been carried out and scrutinised with Gauss-Seidel and standard AM iterative methods to validate the effectiveness of the proposed method. |
| first_indexed | 2025-11-14T09:50:56Z |
| format | Conference Paper |
| id | curtin-20.500.11937-52219 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:56Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-522192017-10-02T02:28:14Z A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution Aruchunan, E. Wu, Yong Hong Wiwatanapataphee, Benchawan Jitsangiam, Peerapong © 2015 IEEE.In this paper, we introduced a new variant called Modified Arithmetic Mean iterative method (MAM) from standard Arithmetic Mean (AM)iterative method for the solution of fourth order Fredholm Integro-differential equations. The proposed method has been derived with some relevant theories and proof to validate the convergence. In addition, the formulation and implementation of the proposed method in solving some well-posed problems are also presented and investigated based on a number of iterations, CPU time and Root Square Mean Error (RSME). Numerical simulation and comparisons have been carried out and scrutinised with Gauss-Seidel and standard AM iterative methods to validate the effectiveness of the proposed method. 2016 Conference Paper http://hdl.handle.net/20.500.11937/52219 10.1109/AIMS.2015.24 restricted |
| spellingShingle | Aruchunan, E. Wu, Yong Hong Wiwatanapataphee, Benchawan Jitsangiam, Peerapong A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution |
| title | A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution |
| title_full | A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution |
| title_fullStr | A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution |
| title_full_unstemmed | A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution |
| title_short | A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution |
| title_sort | new variant of arithmetic mean iterative method for fourth order integro-differential equations solution |
| url | http://hdl.handle.net/20.500.11937/52219 |