| Autor: |
Mohamed Ramadan, Heba S. Osheba |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Alexandria Engineering Journal, Vol 59, Iss 5, Pp 3643-3652 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1110-0168 |
| DOI: |
10.1016/j.aej.2020.06.014 |
| Popis: |
In this paper, numerical solution of the linear second kind Fredholm integral equations is studied. These integral equations are widely used for solving many problems in mathematical physics and engineering. A new hybrid Bernstein and Improved Block-Pulse Functions (HBIBP) method is introduced and utilized to convert linear (nonlinear) second kind Fredholm integral equations into an algebraic equation. The new methodology is a combination of Bernstein polynomials (BPs) and improved block-pulse functions (IBPFs) on the interval [0, 1). Convergence analysis and numerical examples that illustrate the pertinent features of the method are presented. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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