Numerical solution of two-dimensional nonlinear Hammerstein fuzzy functional integral equations based on fuzzy Haar wavelets.

Autor: Enkov, Svetoslav, Georgieva, Atanaska
Předmět:
Zdroj: AIP Conference Proceedings; 2017, Vol. 1910 Issue 1, p1-8, 8p, 1 Chart
Abstrakt: In this paper, we propose an efficient iterative method to solve two-dimensional nonlinear Hammerstein fuzzy functional integral equations based on fuzzy Haar wavelets. We prove the convergence of the method by Banach's fixed point theorem and investigate the numerical stability of the presented method with respect to the choice of the first iteration. Finally, some numerical experiment confirm the theoretical results and illustrate the accuracy of the proposed method. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index