A variational-fixed point iterative technique for the solution of second order differential equations
In this paper, we propose a variational-fixed point iteration technique for the solution of second order linear differential equations with two-point boundary value problems. The proposed method is endowed with the Galerkin method for the determination of the starting function. The numerical results...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Faculty of Science, University of Malaya
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/51930/ http://psasir.upm.edu.my/id/eprint/51930/1/A%20variational-fixed%20point%20iterative%20technique%20for%20the%20solution%20of%20second%20order%20differential%20equations.pdf |
| _version_ | 1848851967648989184 |
|---|---|
| author | Kilicman, Adem Adeboye, K. R. Wadai, Mutah |
| author_facet | Kilicman, Adem Adeboye, K. R. Wadai, Mutah |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we propose a variational-fixed point iteration technique for the solution of second order linear differential equations with two-point boundary value problems. The proposed method is endowed with the Galerkin method for the determination of the starting function. The numerical results show the validity and efficiency of the proposed method in comparison with the exact solution and other existing methods. |
| first_indexed | 2025-11-15T10:30:36Z |
| format | Article |
| id | upm-51930 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:36Z |
| publishDate | 2016 |
| publisher | Faculty of Science, University of Malaya |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-519302017-05-03T09:21:10Z http://psasir.upm.edu.my/id/eprint/51930/ A variational-fixed point iterative technique for the solution of second order differential equations Kilicman, Adem Adeboye, K. R. Wadai, Mutah In this paper, we propose a variational-fixed point iteration technique for the solution of second order linear differential equations with two-point boundary value problems. The proposed method is endowed with the Galerkin method for the determination of the starting function. The numerical results show the validity and efficiency of the proposed method in comparison with the exact solution and other existing methods. Faculty of Science, University of Malaya 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51930/1/A%20variational-fixed%20point%20iterative%20technique%20for%20the%20solution%20of%20second%20order%20differential%20equations.pdf Kilicman, Adem and Adeboye, K. R. and Wadai, Mutah (2016) A variational-fixed point iterative technique for the solution of second order differential equations. Malaysian Journal of Science, 35 (1). pp. 29-36. ISSN 0126-7906 http://e-journal.um.edu.my/publish/MJS/1005-1203 |
| spellingShingle | Kilicman, Adem Adeboye, K. R. Wadai, Mutah A variational-fixed point iterative technique for the solution of second order differential equations |
| title | A variational-fixed point iterative technique for the solution of second order differential equations |
| title_full | A variational-fixed point iterative technique for the solution of second order differential equations |
| title_fullStr | A variational-fixed point iterative technique for the solution of second order differential equations |
| title_full_unstemmed | A variational-fixed point iterative technique for the solution of second order differential equations |
| title_short | A variational-fixed point iterative technique for the solution of second order differential equations |
| title_sort | variational-fixed point iterative technique for the solution of second order differential equations |
| url | http://psasir.upm.edu.my/id/eprint/51930/ http://psasir.upm.edu.my/id/eprint/51930/ http://psasir.upm.edu.my/id/eprint/51930/1/A%20variational-fixed%20point%20iterative%20technique%20for%20the%20solution%20of%20second%20order%20differential%20equations.pdf |