Iterative numerical method for fuzzy Volterra linear integral equations in two dimensions
Fuzzy Volterra integral equations were introduced by \textit{P. V. Subrahmanyam} and \textit{S. K. Sudarsanam} [Fuzzy Sets Syst. 81, No. 2, 237--240 (1996; Zbl 0884.45002)]. Existence and uniqueness of solutions were described, e.g., by \textit{M. Khezerloo} and \textit{S. Hajighasemi} [``Existence and uniqueness of solutions of Volterra integral equations'', Int. J. Ind. Math. 4, 69--76 (2012)]. This paper concerns the case with Henstock double integral. The authors followed considerations from [\textit{S. M. Sadatrasoul} and \textit{R. Ezzati}, Abstr. Appl. Anal. 2014, Article ID 413570, 18 p. (2014; Zbl 1470.65221); \textit{A. M. Bica} and \textit{C. Popescu}, Soft Comput. 21, No. 5, 1229--1243 (2017; Zbl 1409.65112)]. The paper describes an iterative method for an approximate solution of fuzzy Volterra linear integral equations with an estimation of the errors. Two numerical examples were prepared in Matlab with an estimation of the time complexity.
scientific article; zbMATH DE number 6843863
scientific article