Numerical solutions of the nonlinear fuzzy Hammerstein-Volterra delay integral equations

Authors:
Alexandru Mihai Bica;Constantin Popescu
Affiliations:
Department of Mathematics and Informatics, University of Oradea, Universitatii Street No. 1, 410087 Oradea, Romania;Department of Mathematics and Informatics, University of Oradea, Universitatii Street No. 1, 410087 Oradea, Romania
Venue:
Information Sciences: an International Journal
Year:
2013

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Abstract

In this paper, an iterative numerical method that solves nonlinear fuzzy Hammerstein-Volterra integral equations with constant delay is developed. By using the error estimates, a practical stopping criterion of the algorithm is obtained. The convergence and the numerical stability of the method is proved and its accuracy is illustrated on three numerical examples. The study of this integral equation is important because it has as a particular case the fuzzy variant of a mathematical model from epidemiology.