On the two-point boundary value problems using variational-fixed point iterative scheme
We developed a new scheme which is obtained by linking finite element, fixed point iterations and variational iteration technique known as variational-fixed point iterative scheme for attacking higher order differential equations. The finite element method is use to obtain the first approximation of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51920/1/11.%20wadai%20adem.pdf |
| _version_ | 1796975639858774016 |
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| author | Wadai, Mutah Kilicman, Adem |
| author_facet | Wadai, Mutah Kilicman, Adem |
| author_sort | Wadai, Mutah |
| collection | UPM |
| description | We developed a new scheme which is obtained by linking finite element, fixed point iterations and variational iteration technique known as variational-fixed point iterative scheme for attacking higher order differential equations. The finite element method is use to obtain the first approximation of VIM, while its the first order approximations is taken as starting value of fixed point iteration method, these sequence give an added advantage over the existing methods. The method is practically applicable to the experiment presented and comparisons were made with exact solution and other methods to demonstrate its reliability, comfortability as well as efficiency of the method. |
| first_indexed | 2024-03-06T09:14:22Z |
| format | Article |
| id | upm.eprints-51920 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:22Z |
| publishDate | 2017 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-519202017-05-03T04:41:49Z http://psasir.upm.edu.my/id/eprint/51920/ On the two-point boundary value problems using variational-fixed point iterative scheme Wadai, Mutah Kilicman, Adem We developed a new scheme which is obtained by linking finite element, fixed point iterations and variational iteration technique known as variational-fixed point iterative scheme for attacking higher order differential equations. The finite element method is use to obtain the first approximation of VIM, while its the first order approximations is taken as starting value of fixed point iteration method, these sequence give an added advantage over the existing methods. The method is practically applicable to the experiment presented and comparisons were made with exact solution and other methods to demonstrate its reliability, comfortability as well as efficiency of the method. Institute for Mathematical Research, Universiti Putra Malaysia 2017 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51920/1/11.%20wadai%20adem.pdf Wadai, Mutah and Kilicman, Adem (2017) On the two-point boundary value problems using variational-fixed point iterative scheme. Malaysian Journal of Mathematical Sciences, 11 (spec. Apr.). pp. 137-160. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol11sapril/11.%20wadai%20adem.pdf |
| spellingShingle | Wadai, Mutah Kilicman, Adem On the two-point boundary value problems using variational-fixed point iterative scheme |
| title | On the two-point boundary value problems using variational-fixed point iterative scheme |
| title_full | On the two-point boundary value problems using variational-fixed point iterative scheme |
| title_fullStr | On the two-point boundary value problems using variational-fixed point iterative scheme |
| title_full_unstemmed | On the two-point boundary value problems using variational-fixed point iterative scheme |
| title_short | On the two-point boundary value problems using variational-fixed point iterative scheme |
| title_sort | on the two point boundary value problems using variational fixed point iterative scheme |
| url | http://psasir.upm.edu.my/id/eprint/51920/1/11.%20wadai%20adem.pdf |
| work_keys_str_mv | AT wadaimutah onthetwopointboundaryvalueproblemsusingvariationalfixedpointiterativescheme AT kilicmanadem onthetwopointboundaryvalueproblemsusingvariationalfixedpointiterativescheme |