Abstract
Generalized alternating polynomials have been introduced by the author earlier. In the present paper their indirect analogue is constructed for numerical solution of the Fredholm linear integral equations. Although the proposed method is a particular case of the general projection scheme, its valuable feature is the presence of a sequence of parameters, which, for sufficiently smooth kernels and inhomogeneous terms, serves as an “indicator of the quality of approximation”.
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Brutman, L. An application of the generalized alternating polynomials to the numerical solution of Fredholm integral equations. Numer Algor 5, 437–442 (1993). https://doi.org/10.1007/BF02109184
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DOI: https://doi.org/10.1007/BF02109184