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A numerical method for solving a class of functional and two-dimensional integral equations. (English) Zbl 1137.65065

Summary: The Chebyshev collocation method is used to solve functional integral equations of the first and second kind. Also the numerical solution of a two-dimensional Fredholm-Volterra integral equation of the second kind is considered. The Chebyshev collocation method transforms any integral equation into a system of linear algebraic equations. In this method the Chebyshev expansion coefficients of the solution are obtained. Finally some examples show the accuracy of this method.

MSC:

65R20 Numerical methods for integral equations
45B05 Fredholm integral equations
45D05 Volterra integral equations
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References:

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