Solving delay differential equations by Adams Moulton block method using divided difference interpolation
This paper will consider a block method for solving delay differential equations (DDEs) using variable step size and order. The coupled block method consists of two and three point block method in a single code presented as in the simple Adams Moulton type. The code will compute the numerical soluti...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Malaysian Mathematical Society
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/82205/1/Solving%20delay%20differential%20.pdf |
| _version_ | 1825951542355689472 |
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| author | Abdul Majid, Zanariah San, Hue Chi Othman, Mohamed Suleiman, Mohamed B. |
| author_facet | Abdul Majid, Zanariah San, Hue Chi Othman, Mohamed Suleiman, Mohamed B. |
| author_sort | Abdul Majid, Zanariah |
| collection | UPM |
| description | This paper will consider a block method for solving delay differential equations (DDEs) using variable step size and order. The coupled block method consists of two and three point block method in a single code presented as in the simple Adams Moulton type. The code will compute the numerical solutions at two and three new values simultaneously at each of the integration step. The approximation of the delay term is estimated using the divided difference interpolation. The P-stability and Q-stability regions are also illustrated. The numerical results for the coupled block method were superior compared to the existing block method. It is clearly shown that the code is able to produce good results for solving DDEs. |
| first_indexed | 2024-03-06T10:31:33Z |
| format | Article |
| id | upm.eprints-82205 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:31:33Z |
| publishDate | 2019 |
| publisher | Malaysian Mathematical Society |
| record_format | dspace |
| spelling | upm.eprints-822052020-12-16T00:50:24Z http://psasir.upm.edu.my/id/eprint/82205/ Solving delay differential equations by Adams Moulton block method using divided difference interpolation Abdul Majid, Zanariah San, Hue Chi Othman, Mohamed Suleiman, Mohamed B. This paper will consider a block method for solving delay differential equations (DDEs) using variable step size and order. The coupled block method consists of two and three point block method in a single code presented as in the simple Adams Moulton type. The code will compute the numerical solutions at two and three new values simultaneously at each of the integration step. The approximation of the delay term is estimated using the divided difference interpolation. The P-stability and Q-stability regions are also illustrated. The numerical results for the coupled block method were superior compared to the existing block method. It is clearly shown that the code is able to produce good results for solving DDEs. Malaysian Mathematical Society 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82205/1/Solving%20delay%20differential%20.pdf Abdul Majid, Zanariah and San, Hue Chi and Othman, Mohamed and Suleiman, Mohamed B. (2019) Solving delay differential equations by Adams Moulton block method using divided difference interpolation. Menemui Matematik (Discovering Mathematics), 41 (2). pp. 57-67. ISSN 0126-9003 https://einspem.upm.edu.my/ojs/index.php/dismath/article/view/125 |
| spellingShingle | Abdul Majid, Zanariah San, Hue Chi Othman, Mohamed Suleiman, Mohamed B. Solving delay differential equations by Adams Moulton block method using divided difference interpolation |
| title | Solving delay differential equations by Adams Moulton block method using divided difference interpolation |
| title_full | Solving delay differential equations by Adams Moulton block method using divided difference interpolation |
| title_fullStr | Solving delay differential equations by Adams Moulton block method using divided difference interpolation |
| title_full_unstemmed | Solving delay differential equations by Adams Moulton block method using divided difference interpolation |
| title_short | Solving delay differential equations by Adams Moulton block method using divided difference interpolation |
| title_sort | solving delay differential equations by adams moulton block method using divided difference interpolation |
| url | http://psasir.upm.edu.my/id/eprint/82205/1/Solving%20delay%20differential%20.pdf |
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