A Hybrid Method for Numerical Solution of Fuzzy Mixed Delay Volterra-Fredholm Integral Equations System
Subject Areas : Transactions on Fuzzy Sets and Systems
1 - Department of Mathematics, Associate Professor of Applied Mathematics, Lorestan University, Khorramabad, 68151-44316, Iran.
Keywords: Fuzzy integral equation, Block pulse function, Bernstein polynomials.,
Abstract :
A hybrid method for the numerical solution of the system of delayed linear fuzzy mixed VolterraFredholm integral equations (FMDVFIES) is introduced. Using the hybrid of Bernstein polynomials and blockpulse functions (HBBFs), an approximate solution for the equations system is provided. Firstly, the HBBFs and their operational matrices are introduced, and some of their characteristics are described. Then by applying the operational matrices on FMDVFIES convert it to the algebraic equations system. The numerical solution is obtained by solving this algebraic system. Then the convergence is investigated and some numerical examples are presented to show the effectiveness of the method.
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