Shifted Chebyshev Polynomials for a Generalized Abel-Volterra-Fredholm integral equations
Abstract
The aim of our work is to solve numerically a Generalized Volterra Abel-Fredholm integral equations using a new spectral method based on a shifted first kind Chebyshev Polynomials, this method leads us to convert the equation to a system of a linear algebraic equations in the unknown expansion coefficients. The numerical solutions obtained in some examples by our technical show its high accuracy and efficiency compared with others methods.
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