Finite Difference with Quintic B-Splines for Solving a system of nonlinear Volterra Integro-Differential Equations of integer order
| Autor: | ghanim, Borhan F. Jumaa |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Wasit Journal for Pure Sciences, Vol 3, Iss 2 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2790-5233 2790-5241 |
| DOI: | 10.31185/wjps.351 |
| Popis: | This study presents a novel numerical approach for solving systems of nonlinear Volterra Integro-Differential Equations (VIDEs) of integer order by integrating the Finite Difference Method (FDM) with Quintic B-Splines for. The proposed method aims to address the challenges posed by the nonlinearity and integral terms inherent in VIDEs while providing enhanced accuracy and stability in the numerical solution. An error estimate of the approximate solution is proved. Finally, Some example are presented to illustrate the simplicity and the effectiveness of the propose method |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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