On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method.
We study higher-order boundary value problems (HOBVP) for higher-order nonlinear differential equation. We make comparison among differential transformation method (DTM), Adomian decomposition method (ADM), and exact solutions. We provide several examples in order to compare our results. We extend a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
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Hindawi Publishing Corporation
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24863/ http://psasir.upm.edu.my/id/eprint/24863/1/On%20the%20solutions%20of%20nonlinear%20higher.pdf |
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| author | Kilicman, Adem Che Hussin, Che Haziqah |
| author_facet | Kilicman, Adem Che Hussin, Che Haziqah |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study higher-order boundary value problems (HOBVP) for higher-order nonlinear differential equation. We make comparison among differential transformation method (DTM), Adomian decomposition method (ADM), and exact solutions. We provide several examples in order to compare our results. We extend and prove a theorem for nonlinear differential equations by using the DTM. The numerical examples show
that the DTM is a good method compared to the ADM since it is effective, uses less time in computation, easy to implement and achieve high accuracy. In addition, DTM has many advantages compared to ADM since the calculation of
Adomian polynomial is tedious. From the numerical results, DTM is suitable to apply for nonlinear problems. |
| first_indexed | 2025-11-15T08:42:16Z |
| format | Article |
| id | upm-24863 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:16Z |
| publishDate | 2011 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-248632015-09-22T02:35:38Z http://psasir.upm.edu.my/id/eprint/24863/ On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method. Kilicman, Adem Che Hussin, Che Haziqah We study higher-order boundary value problems (HOBVP) for higher-order nonlinear differential equation. We make comparison among differential transformation method (DTM), Adomian decomposition method (ADM), and exact solutions. We provide several examples in order to compare our results. We extend and prove a theorem for nonlinear differential equations by using the DTM. The numerical examples show that the DTM is a good method compared to the ADM since it is effective, uses less time in computation, easy to implement and achieve high accuracy. In addition, DTM has many advantages compared to ADM since the calculation of Adomian polynomial is tedious. From the numerical results, DTM is suitable to apply for nonlinear problems. Hindawi Publishing Corporation 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24863/1/On%20the%20solutions%20of%20nonlinear%20higher.pdf Kilicman, Adem and Che Hussin, Che Haziqah (2011) On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method. Mathematical Problems in Engineering, 2011 (724927). pp. 1-19. ISSN 1024-123X http://www.hindawi.com/ 10.1155/2011/724927 English |
| spellingShingle | Kilicman, Adem Che Hussin, Che Haziqah On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method. |
| title | On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method. |
| title_full | On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method. |
| title_fullStr | On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method. |
| title_full_unstemmed | On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method. |
| title_short | On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method. |
| title_sort | on the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method. |
| url | http://psasir.upm.edu.my/id/eprint/24863/ http://psasir.upm.edu.my/id/eprint/24863/ http://psasir.upm.edu.my/id/eprint/24863/ http://psasir.upm.edu.my/id/eprint/24863/1/On%20the%20solutions%20of%20nonlinear%20higher.pdf |