The numerical method of successive interpolations for Fredholm functional integral equations

Authors:
Alexandru Mihai Bica
Affiliations:
Department of Mathematics and Informatics, University of Oradea, Oradea, Romania 410087
Venue:
Numerical Algorithms
Year:
2011

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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.