A comparison on solutions of fifth-order boundary-value problems
A fast and accurate numerical scheme for the solution of fifth-order boundary-value problems has been investigated in this work. We apply the reproducing kernel method (RKM) for solving this problem. The analytical results of the equations have been acquired in terms of convergent series with easily...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Natural Sciences Publishing
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/54827/ http://psasir.upm.edu.my/id/eprint/54827/1/A%20comparison%20on%20solutions%20of%20fifth-order%20boundary-value%20problems.pdf |
| _version_ | 1848852640014794752 |
|---|---|
| author | Akgul, Ali Inc, Mustafa Kilicman, Adem |
| author_facet | Akgul, Ali Inc, Mustafa Kilicman, Adem |
| author_sort | Akgul, Ali |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A fast and accurate numerical scheme for the solution of fifth-order boundary-value problems has been investigated in this work. We apply the reproducing kernel method (RKM) for solving this problem. The analytical results of the equations have been acquired in terms of convergent series with easily computable components. We compare our results with the numerical methods: B-spline method, decomposition method, variational iteration method, Sinc-Galerkin method and homotopy perturbation method. The comparison of the results with exact ones is made to confirm the validity and efficiency. |
| first_indexed | 2025-11-15T10:41:17Z |
| format | Article |
| id | upm-54827 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:41:17Z |
| publishDate | 2016 |
| publisher | Natural Sciences Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-548272018-05-22T01:11:52Z http://psasir.upm.edu.my/id/eprint/54827/ A comparison on solutions of fifth-order boundary-value problems Akgul, Ali Inc, Mustafa Kilicman, Adem A fast and accurate numerical scheme for the solution of fifth-order boundary-value problems has been investigated in this work. We apply the reproducing kernel method (RKM) for solving this problem. The analytical results of the equations have been acquired in terms of convergent series with easily computable components. We compare our results with the numerical methods: B-spline method, decomposition method, variational iteration method, Sinc-Galerkin method and homotopy perturbation method. The comparison of the results with exact ones is made to confirm the validity and efficiency. Natural Sciences Publishing 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54827/1/A%20comparison%20on%20solutions%20of%20fifth-order%20boundary-value%20problems.pdf Akgul, Ali and Inc, Mustafa and Kilicman, Adem (2016) A comparison on solutions of fifth-order boundary-value problems. Applied Mathematics & Information Sciences, 10 (2). pp. 755-764. ISSN 1935-0090; ESSN: 2325-0399 |
| spellingShingle | Akgul, Ali Inc, Mustafa Kilicman, Adem A comparison on solutions of fifth-order boundary-value problems |
| title | A comparison on solutions of fifth-order boundary-value problems |
| title_full | A comparison on solutions of fifth-order boundary-value problems |
| title_fullStr | A comparison on solutions of fifth-order boundary-value problems |
| title_full_unstemmed | A comparison on solutions of fifth-order boundary-value problems |
| title_short | A comparison on solutions of fifth-order boundary-value problems |
| title_sort | comparison on solutions of fifth-order boundary-value problems |
| url | http://psasir.upm.edu.my/id/eprint/54827/ http://psasir.upm.edu.my/id/eprint/54827/1/A%20comparison%20on%20solutions%20of%20fifth-order%20boundary-value%20problems.pdf |