Numerical solution of mixed Volterra-Fredholm integral equations usingiterative method via two-variables Bernstein polynomials

Bulletin of Computational Applied Mathematics

Farkhondeh Hosseini Shekarabi¹  Reza Ezzati¹ 

[1] Department of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University, Alborz, Iran;

关键词: Two-variable Bernstein polynomials;    Mixed Volterra-Fredholmintegral equations;    Iterative method;   

DOI  :  

来源: DOAJ

【 摘 要 】

This paper is concerned with the numerical solution of mixed Volterra-Fredholm integral equations, based on iterative method and two variable Bernstein polynomials. In the main result, this method has several benefits in proposing an efficient andsimple scheme with good degree of accuracy. Our second main result is to prove the convergence of the method, and to derive an upper bound under assumptions. Numerical experiments are performed for the approximation of the solution of two examples to demonstrate the accuracy and integrity of the method.

【 授权许可】

Unknown