Boole's strategy in multistep block method for Volterra integro-differential equation
This article presents a numerical approach for solving the second kind of Volterra integro- differential equation (VIDE). The multistep block-Boole's rule method will estimate the solutions for the linear and nonlinear problems of VIDE. The method computes two solutions for VIDE along the inter...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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UPM Press
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100561/1/Boole%27s%20strategy%20in%20multistep%20block%20method.pdf |
| _version_ | 1796983917723516928 |
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| author | Baharum, N. A. Majid, Z. A. Senu, N. |
| author_facet | Baharum, N. A. Majid, Z. A. Senu, N. |
| author_sort | Baharum, N. A. |
| collection | UPM |
| description | This article presents a numerical approach for solving the second kind of Volterra integro- differential equation (VIDE). The multistep block-Boole's rule method will estimate the solutions for the linear and nonlinear problems of VIDE. The method computes two solutions for VIDE along the interval. The proposed method is developed by derivation of the Lagrange interpolating polynomial. The convergence and stability analysis of the derived method are discussed. From the perspective of total function calls and time-saving, the computation results explained that the derived method performs better than other existing methods. |
| first_indexed | 2024-03-06T11:13:11Z |
| format | Article |
| id | upm.eprints-100561 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T11:13:11Z |
| publishDate | 2022 |
| publisher | UPM Press |
| record_format | dspace |
| spelling | upm.eprints-1005612023-10-10T02:07:32Z http://psasir.upm.edu.my/id/eprint/100561/ Boole's strategy in multistep block method for Volterra integro-differential equation Baharum, N. A. Majid, Z. A. Senu, N. This article presents a numerical approach for solving the second kind of Volterra integro- differential equation (VIDE). The multistep block-Boole's rule method will estimate the solutions for the linear and nonlinear problems of VIDE. The method computes two solutions for VIDE along the interval. The proposed method is developed by derivation of the Lagrange interpolating polynomial. The convergence and stability analysis of the derived method are discussed. From the perspective of total function calls and time-saving, the computation results explained that the derived method performs better than other existing methods. UPM Press 2022-04-29 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/100561/1/Boole%27s%20strategy%20in%20multistep%20block%20method.pdf Baharum, N. A. and Majid, Z. A. and Senu, N. (2022) Boole's strategy in multistep block method for Volterra integro-differential equation. Malaysian Journal of Mathematical Sciences, 16 (2). 237 - 256. ISSN 1823-8343; ESSN: 2289-750X https://mjms.upm.edu.my/lihatmakalah.php?kod=2022/May/16/2/237-256 10.47836/mjms.16.2.05 |
| spellingShingle | Baharum, N. A. Majid, Z. A. Senu, N. Boole's strategy in multistep block method for Volterra integro-differential equation |
| title | Boole's strategy in multistep block method for Volterra integro-differential equation |
| title_full | Boole's strategy in multistep block method for Volterra integro-differential equation |
| title_fullStr | Boole's strategy in multistep block method for Volterra integro-differential equation |
| title_full_unstemmed | Boole's strategy in multistep block method for Volterra integro-differential equation |
| title_short | Boole's strategy in multistep block method for Volterra integro-differential equation |
| title_sort | boole s strategy in multistep block method for volterra integro differential equation |
| url | http://psasir.upm.edu.my/id/eprint/100561/1/Boole%27s%20strategy%20in%20multistep%20block%20method.pdf |
| work_keys_str_mv | AT baharumna boolesstrategyinmultistepblockmethodforvolterraintegrodifferentialequation AT majidza boolesstrategyinmultistepblockmethodforvolterraintegrodifferentialequation AT senun boolesstrategyinmultistepblockmethodforvolterraintegrodifferentialequation |