| Autor: |
F. Afiatdoust, M.H. Heydari, M.M. Hosseini, M. Mohseni Moghadam |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Results in Applied Mathematics, Vol 24, Iss , Pp 100510- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2590-0374 |
| DOI: |
10.1016/j.rinam.2024.100510 |
| Popis: |
The present study focuses on designing a multi-step technique, known as the block-by-block technique, to provide the numerical solution for a category of nonlinear fractional two-dimensional Volterra integro-differential equations. The proposed technique is a block-by-block method based on Romberg’s numerical integration formula, which simultaneously obtains highly accurate solutions at certain nodes without requiring initial starting values. The convergence analysis of the established method for the aforementioned equations is investigated using Gronwall’s inequality. Several numerical tests are presented to demonstrate the accuracy, speed, and good performance of the procedure. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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