Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation
In this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). Then, we prove convergence analysis and numerical stability analysis for...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/5405124 |
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| author | H. Nouriani R. Ezzati |
| author_facet | H. Nouriani R. Ezzati |
| author_sort | H. Nouriani |
| collection | DOAJ |
| description | In this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). Then, we prove convergence analysis and numerical stability analysis for the proposed numerical algorithm by two theorems. Finally, by some examples, we show the efficiency of the proposed method. |
| format | Article |
| id | doaj-art-6f8ceb057e1647d1b504ff82f6a288ef |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-6f8ceb057e1647d1b504ff82f6a288ef2025-02-03T01:12:32ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/54051245405124Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange InterpolationH. Nouriani0R. Ezzati1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranIn this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). Then, we prove convergence analysis and numerical stability analysis for the proposed numerical algorithm by two theorems. Finally, by some examples, we show the efficiency of the proposed method.http://dx.doi.org/10.1155/2018/5405124 |
| spellingShingle | H. Nouriani R. Ezzati Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation Advances in Fuzzy Systems |
| title | Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation |
| title_full | Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation |
| title_fullStr | Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation |
| title_full_unstemmed | Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation |
| title_short | Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation |
| title_sort | numerical solution of two dimensional linear fuzzy fredholm integral equations by the fuzzy lagrange interpolation |
| url | http://dx.doi.org/10.1155/2018/5405124 |
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