Bernstein series solution of a class of linear integro-differential equations with weakly singular kernel |
| |
| Authors: | Osman Ra?it I?ikMehmet Sezer,Zekeriya Gü ney |
| |
| Affiliation: | a Department of Mathematics, Faculty of Science, Mu?la University, 48000 Mu?la, Turkey
b Department of Mathematics, Faculty of Education, Mu?la University, 48000 Mu?la, Turkey |
| |
| Abstract: | In this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of a class of linear Volterra integro-differential equations with weakly singular kernel. If the exact solution is polynomial, then the exact solution can be obtained. If the exact solution is not a polynomial, then an accurate solution can be obtained with a combination of choice in the number of nodes and the number of digits in the solver. In addition, the method is presented with error and stability analysis. |
| |
| Keywords: | Integro-differential equations Volterra equations Abel&rsquo s integral equations Bernstein polynomials Singular volterra integral equations |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
