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Shifted Chebyshev Polynomials for a Generalized Abel-Volterra-Fredholm integral equations

Mohamed Nasseh NADIR, Adel JAWAHDOU

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.

Keywords


Shifted Chebyshev polynomials, Generalized Volterra Abel-Fredholm integral equations, collocation method, Projection method.

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