Direct block method for solving delay differential equations with initial conditions
This study applied direct block multistep method with strategy to reduce function call in order to solve Delay Differential Equation (DDE) with initial condition. This study solves constant and pantograph delay type where the proposed method uses the previous calculated solutions and apply Lagrange...
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| Format: | Article |
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Malaysian Mathematical Society
2023
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| _version_ | 1825939442525798400 |
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| author | Jaaffar, Nur Tasnem Abdul Majid, Zanariah |
| author_facet | Jaaffar, Nur Tasnem Abdul Majid, Zanariah |
| author_sort | Jaaffar, Nur Tasnem |
| collection | UPM |
| description | This study applied direct block multistep method with strategy to reduce function call in order to solve Delay Differential Equation (DDE) with initial condition. This study solves constant and pantograph delay type where the proposed method uses the previous calculated solutions and apply Lagrange interpolation method for the respective types of delay. The development of the proposed method is based on the diagonally implicit strategy where the interpolation points are defined diagonally to reduce the function calls so that it will reduce the computational time. Several numerical examples are taken into consideration to check the credibility of our strategies. |
| first_indexed | 2024-12-09T02:18:34Z |
| format | Article |
| id | upm.eprints-107350 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-12-09T02:18:34Z |
| publishDate | 2023 |
| publisher | Malaysian Mathematical Society |
| record_format | dspace |
| spelling | upm.eprints-1073502024-10-15T06:43:45Z http://psasir.upm.edu.my/id/eprint/107350/ Direct block method for solving delay differential equations with initial conditions Jaaffar, Nur Tasnem Abdul Majid, Zanariah This study applied direct block multistep method with strategy to reduce function call in order to solve Delay Differential Equation (DDE) with initial condition. This study solves constant and pantograph delay type where the proposed method uses the previous calculated solutions and apply Lagrange interpolation method for the respective types of delay. The development of the proposed method is based on the diagonally implicit strategy where the interpolation points are defined diagonally to reduce the function calls so that it will reduce the computational time. Several numerical examples are taken into consideration to check the credibility of our strategies. Malaysian Mathematical Society 2023-06 Article PeerReviewed Jaaffar, Nur Tasnem and Abdul Majid, Zanariah (2023) Direct block method for solving delay differential equations with initial conditions. Menemui Matematik, 45 (1). pp. 76-84. ISSN 0126-9003 https://myjms.mohe.gov.my/index.php/dismath/article/view/22433 |
| spellingShingle | Jaaffar, Nur Tasnem Abdul Majid, Zanariah Direct block method for solving delay differential equations with initial conditions |
| title | Direct block method for solving delay differential equations with initial conditions |
| title_full | Direct block method for solving delay differential equations with initial conditions |
| title_fullStr | Direct block method for solving delay differential equations with initial conditions |
| title_full_unstemmed | Direct block method for solving delay differential equations with initial conditions |
| title_short | Direct block method for solving delay differential equations with initial conditions |
| title_sort | direct block method for solving delay differential equations with initial conditions |
| work_keys_str_mv | AT jaaffarnurtasnem directblockmethodforsolvingdelaydifferentialequationswithinitialconditions AT abdulmajidzanariah directblockmethodforsolvingdelaydifferentialequationswithinitialconditions |