Application and comparison of the two efficient algorithms to solve the pantograph Volterra fuzzy integro-differential equation

Abstract

In this paper, collocation method based on sinc function and Bernoulli wavelet is proposed to find numerical solution of pantograph Volterra fuzzy integro-differential equation. In the first step, the fuzzy integro-differential equation is converted to a system of integro-differential equations in crisp case. Then by using the proposed algorithms, this system is reduced to a system of algebraic equations which is solved by Newton’s method. Also convergence analysis of the methods is given. We illustrate the accuracy of these algorithms by two examples and compare the obtaining results and the computational implementations.