Soft Computing

, Volume 21, Issue 5, pp 1097–1108

Iterative numerical method for fuzzy Volterra linear integral equations in two dimensions

Foundations

DOI: 10.1007/s00500-016-2085-2

Cite this article as:
Bica, A.M. & Ziari, S. Soft Comput (2017) 21: 1097. doi:10.1007/s00500-016-2085-2
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Abstract

In this paper, we propose an iterative numerical method for two-dimensional fuzzy Volterra linear integral equations. The method uses a recent fuzzy trapezoidal cubature formula for Lipschitzian fuzzy-number-valued functions applied at each iterative step. The convergence of the method is proved providing an error estimate and some numerical experiments illustrate the accuracy of this method confirming the theoretical results.

Keywords

Fuzzy-number-valued functions Numerical method Two-dimensional fuzzy Volterra integral equations Picard’s type iterations Fuzzy trapezoidal cubature rule 

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Mathematics and InformaticsUniversity of OradeaOradeaRomania
  2. 2.Department of Mathematics, Firoozkooh BranchIslamic Azad UniversityFiroozkoohIran