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The numerical method of successive interpolations for Fredholm functional integral equations

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Abstract

A new numerical method for Fredholm functional integral equations is proposed. The method combines the fixed point technique with numerical integration and cubic spline interpolation. The convergence and the numerical stability of the method are proved and tested on some numerical examples.

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  1. Department of Mathematics and Informatics, University of Oradea, Str. Universităţii no. 1, 410087, Oradea, Romania

    Alexandru Mihai Bica

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Bica, A.M. The numerical method of successive interpolations for Fredholm functional integral equations. Numer Algor 58, 351–377 (2011). https://doi.org/10.1007/s11075-011-9459-4

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