A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral Equations
In this paper, we provide a quadrature-based iterative approach to solve three-dimensional nonlinear fuzzy Volterra integral equations of the second kind. The error estimation as well as convergence analysis of the proposed method are also provided. Finally, numerical experiments validate the theore...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_715726_23e48f441d9cb66b24b41d094cbca7ca.pdf |
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| author | Hamid Mottaghi Golshan Kianoush Fathi Vajargah Reza Ezzati |
| author_facet | Hamid Mottaghi Golshan Kianoush Fathi Vajargah Reza Ezzati |
| author_sort | Hamid Mottaghi Golshan |
| collection | DOAJ |
| description | In this paper, we provide a quadrature-based iterative approach to solve three-dimensional nonlinear fuzzy Volterra integral equations of the second kind. The error estimation as well as convergence analysis of the proposed method are also provided. Finally, numerical experiments validate the theoretical findings. The suggested method's advantages include precision, accuracy and ease of use. |
| format | Article |
| id | doaj-art-d27b302d71f344bab47ebec9895e0334 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-d27b302d71f344bab47ebec9895e03342025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-0121419120810.22130/scma.2024.2019081.1579715726A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral EquationsHamid Mottaghi Golshan0Kianoush Fathi Vajargah1Reza Ezzati2Department of Mathematics, Shahryar Branch, Islamic Azad University, Shahriar, Iran.Department of Statistics, North Tehran Branch, Islamic Azad University, Tehran, Iran.Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.In this paper, we provide a quadrature-based iterative approach to solve three-dimensional nonlinear fuzzy Volterra integral equations of the second kind. The error estimation as well as convergence analysis of the proposed method are also provided. Finally, numerical experiments validate the theoretical findings. The suggested method's advantages include precision, accuracy and ease of use.https://scma.maragheh.ac.ir/article_715726_23e48f441d9cb66b24b41d094cbca7ca.pdffuzzy volterra integral equationquadrature formulamodulus of continuitysuccessive approximationiterative method |
| spellingShingle | Hamid Mottaghi Golshan Kianoush Fathi Vajargah Reza Ezzati A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral Equations Sahand Communications in Mathematical Analysis fuzzy volterra integral equation quadrature formula modulus of continuity successive approximation iterative method |
| title | A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral Equations |
| title_full | A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral Equations |
| title_fullStr | A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral Equations |
| title_full_unstemmed | A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral Equations |
| title_short | A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral Equations |
| title_sort | new approach for solving nonlinear 3d volterra fuzzy integral equations |
| topic | fuzzy volterra integral equation quadrature formula modulus of continuity successive approximation iterative method |
| url | https://scma.maragheh.ac.ir/article_715726_23e48f441d9cb66b24b41d094cbca7ca.pdf |
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