Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations
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 fo...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/413570 |
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| author | S. M. Sadatrasoul R. Ezzati |
| author_facet | S. M. Sadatrasoul R. Ezzati |
| author_sort | S. M. Sadatrasoul |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ce1a8a69ad194442994b57bb482b6e3d |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ce1a8a69ad194442994b57bb482b6e3d2025-08-20T03:19:41ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/413570413570Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral EquationsS. M. Sadatrasoul0R. Ezzati1Department of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University, Alborz, IranDepartment of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University, Alborz, IranWe 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.http://dx.doi.org/10.1155/2014/413570 |
| spellingShingle | S. M. Sadatrasoul R. Ezzati Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations Abstract and Applied Analysis |
| title | Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations |
| title_full | Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations |
| title_fullStr | Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations |
| title_full_unstemmed | Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations |
| title_short | Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations |
| title_sort | quadrature rules and iterative method for numerical solution of two dimensional fuzzy integral equations |
| url | http://dx.doi.org/10.1155/2014/413570 |
| work_keys_str_mv | AT smsadatrasoul quadraturerulesanditerativemethodfornumericalsolutionoftwodimensionalfuzzyintegralequations AT rezzati quadraturerulesanditerativemethodfornumericalsolutionoftwodimensionalfuzzyintegralequations |