Numerical Solution for mixed linear Volterra-Fredholm integral and Integro-differential equations using Monic Chebyshev Polynomial
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Keywords

Integro-differential equations, standard collocation points, monic Chebyshev polynomial, conjugate gradient method.

Abstract

In this paper, a numerical approach is developed for solving mixed linear Voltera-Fredholm integral and Integro-differential equations of the second kind. The approximate solution is substituted into the model equation and then collocated using Monic Chebyshev polynomial and Standard collocation points to obtain a system of linear algebraic equations, which is then solved by conjugate gradient method. Several numerical examples were solved to demonstrate the accuracy, reliability and efficiency of the method. The results obtained give an exact solution and were found to be accurate.

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