Abstract
Besides asymptotic methods, the method of orthogonal polynomials has been used to obtain the solution of the Fredholm integral equation. The principal (singular) part of the kernel which corresponds to the selected domain of parameter variation is isolated. The unknown and known functions are expanded in a Chebyshev polynomial and an infinite algebraic system is obtained.
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Abdou, M.A. On asymptotic method in contact problems of Fredholm integral equation of the second kind. Korean J. Comput. & Appl. Math. 9, 261–275 (2002). https://doi.org/10.1007/BF03012354
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DOI: https://doi.org/10.1007/BF03012354