Solving volterra integrodifferential equations via diagonally implicit multistep block method
The performance of the numerical computation based on the diagonally implicit multistep block method for solving Volterra integrodifferential equations (VIDE) of the second kind has been analyzed. The numerical solutions of VIDE will be computed at two points concurrently using the proposed numerica...
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| Format: | Article |
| Language: | English |
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Hindawi
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/73937/ http://psasir.upm.edu.my/id/eprint/73937/1/Solving%20volterra%20integrodifferential%20equations%20via%20diagonally%20implicit%20multistep%20block%20method.pdf |
| _version_ | 1848857400342216704 |
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| author | Baharum, Nur Auni Abdul Majid, Zanariah Senu, Norazak |
| author_facet | Baharum, Nur Auni Abdul Majid, Zanariah Senu, Norazak |
| author_sort | Baharum, Nur Auni |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The performance of the numerical computation based on the diagonally implicit multistep block method for solving Volterra integrodifferential equations (VIDE) of the second kind has been analyzed. The numerical solutions of VIDE will be computed at two points concurrently using the proposed numerical method and executed in the predictor-corrector (PECE) mode. The strategy to obtain the numerical solution of an integral part is discussed and the stability analysis of the diagonally implicit multistep block method was investigated. Numerical results showed the competence of diagonally implicit multistep block method when solving Volterra integrodifferential equations compared to the existing methods. |
| first_indexed | 2025-11-15T11:56:57Z |
| format | Article |
| id | upm-73937 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:56:57Z |
| publishDate | 2018 |
| publisher | Hindawi |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-739372020-04-29T19:07:47Z http://psasir.upm.edu.my/id/eprint/73937/ Solving volterra integrodifferential equations via diagonally implicit multistep block method Baharum, Nur Auni Abdul Majid, Zanariah Senu, Norazak The performance of the numerical computation based on the diagonally implicit multistep block method for solving Volterra integrodifferential equations (VIDE) of the second kind has been analyzed. The numerical solutions of VIDE will be computed at two points concurrently using the proposed numerical method and executed in the predictor-corrector (PECE) mode. The strategy to obtain the numerical solution of an integral part is discussed and the stability analysis of the diagonally implicit multistep block method was investigated. Numerical results showed the competence of diagonally implicit multistep block method when solving Volterra integrodifferential equations compared to the existing methods. Hindawi 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/73937/1/Solving%20volterra%20integrodifferential%20equations%20via%20diagonally%20implicit%20multistep%20block%20method.pdf Baharum, Nur Auni and Abdul Majid, Zanariah and Senu, Norazak (2018) Solving volterra integrodifferential equations via diagonally implicit multistep block method. International Journal of Mathematics and Mathematical Sciences, 2018 (7392452). pp. 1-10. ISSN 0161-1712; ESSN: 1687-0425 https://www.hindawi.com/journals/ijmms/2018/7392452/ 10.1155/2018/7392452 |
| spellingShingle | Baharum, Nur Auni Abdul Majid, Zanariah Senu, Norazak Solving volterra integrodifferential equations via diagonally implicit multistep block method |
| title | Solving volterra integrodifferential equations via diagonally implicit multistep block method |
| title_full | Solving volterra integrodifferential equations via diagonally implicit multistep block method |
| title_fullStr | Solving volterra integrodifferential equations via diagonally implicit multistep block method |
| title_full_unstemmed | Solving volterra integrodifferential equations via diagonally implicit multistep block method |
| title_short | Solving volterra integrodifferential equations via diagonally implicit multistep block method |
| title_sort | solving volterra integrodifferential equations via diagonally implicit multistep block method |
| url | http://psasir.upm.edu.my/id/eprint/73937/ http://psasir.upm.edu.my/id/eprint/73937/ http://psasir.upm.edu.my/id/eprint/73937/ http://psasir.upm.edu.my/id/eprint/73937/1/Solving%20volterra%20integrodifferential%20equations%20via%20diagonally%20implicit%20multistep%20block%20method.pdf |