Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-20
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We introduce some generalized quadrature rules to approximate two-dimensional, Henstock integral of fuzzy-number-valued functions.
We also give error bounds for mappings of bounded variation in terms of uniform modulus of continuity.
Moreover, we propose an iterative procedure based on quadrature formula to solve two-dimensional linear fuzzy Fredholm integral equations of the second kind (2DFFLIE2), and we present the error estimation of the proposed method.
Finally, some numerical experiments confirm the theoretical results and illustrate the accuracy of the method.
American Psychological Association (APA)
Sadatrasoul, S. M.& Ezzati, R.. 2014. Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1013890
Modern Language Association (MLA)
Sadatrasoul, S. M.& Ezzati, R.. Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1013890
American Medical Association (AMA)
Sadatrasoul, S. M.& Ezzati, R.. Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1013890
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013890