Numerical solution for fuzzy Fredholm integral equations with upper-bound on error by splines interpolation
type: Item
instance of: scholarly article
title: Numerical solution for fuzzy Fredholm integral equations with upper-bound on error by splines interpolation
zbMATH Open document ID: 1263.65133
author: Yousef Jafarzadeh
published in: Fuzzy Information and Engineering
publication date: 2013-02-01T00:00:00Z
review text: Using the known iterative method for Fredholm integral equations of the second kind the author shows that the approximate method of splines for the same equation of fuzzy type \[ \tilde{F}(t) = \tilde{f}(t) + \lambda\int^{b}_{a}K(t,x)\tilde{F}(x)dx \] is convergent. Reviewer's remark: The author does not specify that \(\lambda\) is not an eigenvalue of the integral operator. Also, the numerical examples to refer only to the degenerate kernel \({K(t,x)}\) and are not conclusive.
reviewed by: Ivan Secrieru
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45A05
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 6133717
zbMATH Keywords: fuzzy Fredholm integral equation
zbMATH Keywords: quadrature method of splines
zbMATH Keywords: convergence
zbMATH Keywords: numerical example
zbMATH Keywords: degenerate kernel
MaRDI profile type: Publication
full work available at URL: s12543-012-0119-8
OpenAlex ID: W2084140755
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DOI: 10.1007/S12543-012-0119-8
description: scientific article; zbMATH DE number 6133717