Application of homotopy perturbation sumudu transform method for solving heat and wave-like equations
In this paper, we use the homotopy perturbation sumudu transform method (HPSTM) to solve heat and wave-like equations. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. Several examples are given to verify the reliability an...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Putra Malaysia Press
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/30145/1/30145.pdf |
| _version_ | 1825947649441792000 |
|---|---|
| author | Singh, Jagdev Kumar, Devendra Kilicman, Adem |
| author_facet | Singh, Jagdev Kumar, Devendra Kilicman, Adem |
| author_sort | Singh, Jagdev |
| collection | UPM |
| description | In this paper, we use the homotopy perturbation sumudu transform method (HPSTM) to solve heat and wave-like equations. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. Several examples are given to verify the reliability and efficiency of the method. The fact that the proposed technique solves nonlinear problems without using Adomian's polynomials can be considered as a clear advantage of this algorithm over the decomposition method. |
| first_indexed | 2024-03-06T08:16:37Z |
| format | Article |
| id | upm.eprints-30145 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:16:37Z |
| publishDate | 2013 |
| publisher | Universiti Putra Malaysia Press |
| record_format | dspace |
| spelling | upm.eprints-301452015-05-27T01:59:27Z http://psasir.upm.edu.my/id/eprint/30145/ Application of homotopy perturbation sumudu transform method for solving heat and wave-like equations Singh, Jagdev Kumar, Devendra Kilicman, Adem In this paper, we use the homotopy perturbation sumudu transform method (HPSTM) to solve heat and wave-like equations. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. Several examples are given to verify the reliability and efficiency of the method. The fact that the proposed technique solves nonlinear problems without using Adomian's polynomials can be considered as a clear advantage of this algorithm over the decomposition method. Universiti Putra Malaysia Press 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30145/1/30145.pdf Singh, Jagdev and Kumar, Devendra and Kilicman, Adem (2013) Application of homotopy perturbation sumudu transform method for solving heat and wave-like equations. Malaysian Journal of Mathematical Sciences, 7 (1). pp. 79-95. ISSN 1823-8343 http://einspem.upm.edu.my/journal/volume7.1.php |
| spellingShingle | Singh, Jagdev Kumar, Devendra Kilicman, Adem Application of homotopy perturbation sumudu transform method for solving heat and wave-like equations |
| title | Application of homotopy perturbation sumudu transform
method for solving heat and wave-like equations |
| title_full | Application of homotopy perturbation sumudu transform
method for solving heat and wave-like equations |
| title_fullStr | Application of homotopy perturbation sumudu transform
method for solving heat and wave-like equations |
| title_full_unstemmed | Application of homotopy perturbation sumudu transform
method for solving heat and wave-like equations |
| title_short | Application of homotopy perturbation sumudu transform
method for solving heat and wave-like equations |
| title_sort | application of homotopy perturbation sumudu transform method for solving heat and wave like equations |
| url | http://psasir.upm.edu.my/id/eprint/30145/1/30145.pdf |
| work_keys_str_mv | AT singhjagdev applicationofhomotopyperturbationsumudutransformmethodforsolvingheatandwavelikeequations AT kumardevendra applicationofhomotopyperturbationsumudutransformmethodforsolvingheatandwavelikeequations AT kilicmanadem applicationofhomotopyperturbationsumudutransformmethodforsolvingheatandwavelikeequations |