Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods
In this study, we solve fifth-order boundary value problems by using the DTM for linear and nonlinear differential equations and compare the results with other methods such as Adomian Decomposition Method (ADM), Noor Decomposition Method and Variational Iteration Method. We provide several numerical...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57569/ http://psasir.upm.edu.my/id/eprint/57569/1/Comparing%20linear%20and%20nonlinear%20differential%20equations%20of%20differential%20transformation%20method%20by%20other%20numerical%20methods.pdf |
| _version_ | 1848853403562672128 |
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| author | Che Hussin, Che Haziqah Kilicman, Adem Mandangan, Arif |
| author_facet | Che Hussin, Che Haziqah Kilicman, Adem Mandangan, Arif |
| author_sort | Che Hussin, Che Haziqah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this study, we solve fifth-order boundary value problems by using the DTM for linear and nonlinear differential equations and compare the results with other methods such as Adomian Decomposition Method (ADM), Noor Decomposition Method and Variational Iteration Method. We provide several numerical examples in order to show the accuracy of the method. Further, we also solve sixth-order nonlinear boundary value problems and compare the result to ADM. The present study shows that the DTM is able to provide good results with high accuracy and the method is also easy to apply. |
| first_indexed | 2025-11-15T10:53:25Z |
| format | Conference or Workshop Item |
| id | upm-57569 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:25Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-575692017-10-24T05:20:52Z http://psasir.upm.edu.my/id/eprint/57569/ Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods Che Hussin, Che Haziqah Kilicman, Adem Mandangan, Arif In this study, we solve fifth-order boundary value problems by using the DTM for linear and nonlinear differential equations and compare the results with other methods such as Adomian Decomposition Method (ADM), Noor Decomposition Method and Variational Iteration Method. We provide several numerical examples in order to show the accuracy of the method. Further, we also solve sixth-order nonlinear boundary value problems and compare the result to ADM. The present study shows that the DTM is able to provide good results with high accuracy and the method is also easy to apply. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57569/1/Comparing%20linear%20and%20nonlinear%20differential%20equations%20of%20differential%20transformation%20method%20by%20other%20numerical%20methods.pdf Che Hussin, Che Haziqah and Kilicman, Adem and Mandangan, Arif (2013) Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods. In: 3rd International Conference on Mathematical Sciences (ICMS3), 17-19 Dec. 2013, Kuala Lumpur, Malaysia. (pp. 43-49). 10.1063/1.4882464 |
| spellingShingle | Che Hussin, Che Haziqah Kilicman, Adem Mandangan, Arif Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods |
| title | Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods |
| title_full | Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods |
| title_fullStr | Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods |
| title_full_unstemmed | Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods |
| title_short | Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods |
| title_sort | comparing linear and nonlinear differential equations of differential transformation method by other numerical methods |
| url | http://psasir.upm.edu.my/id/eprint/57569/ http://psasir.upm.edu.my/id/eprint/57569/ http://psasir.upm.edu.my/id/eprint/57569/1/Comparing%20linear%20and%20nonlinear%20differential%20equations%20of%20differential%20transformation%20method%20by%20other%20numerical%20methods.pdf |