Hybrid of Bernstein and block-pulse functions for numerical solution of fuzzy mixed Volterra-Fredholm integral equations system

In this paper, we use the hybrid of Bernstein and block-pulse functions (HBBF) toapproximate solution of linear fuzzy mixed Volterra-Fredholm integral equations system(FMDVFIES). Firstly, we construct the HBBFs and their operational matrices.Then by applying the operational matrices on FMDVFIES convert it to the algebraicequations system. By solving the system of algebraic equations, a numerical solutionis obtained. After proving the method’s convergence, one illustrative example ispresented.

Keywords:

Integral equations , Block pulse functions , Bernstein polynomials , Fuzzy Systems