Computational Methods for Solving Linear Fuzzy Volterra Integral Equation
Two numerical schemes, namely, the Taylor expansion and the variational iteration methods, have been implemented to give an approximate solution of the fuzzy linear Volterra integral equation of the second kind. To display the validity and applicability of the numerical methods, one illustrative exa...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2017/2417195 |
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| _version_ | 1832566772146896896 |
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| author | Jihan Hamaydi Naji Qatanani |
| author_facet | Jihan Hamaydi Naji Qatanani |
| author_sort | Jihan Hamaydi |
| collection | DOAJ |
| description | Two numerical schemes, namely, the Taylor expansion and the variational iteration methods, have been implemented to give an approximate solution of the fuzzy linear Volterra integral equation of the second kind. To display the validity and applicability of the numerical methods, one illustrative example with known exact solution is presented. Numerical results show that the convergence and accuracy of these methods were in a good agreement with the exact solution. However, according to comparison of these methods, we conclude that the variational iteration method provides more accurate results. |
| format | Article |
| id | doaj-art-9acdcf6c41d94ef6a166e70dddb26211 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9acdcf6c41d94ef6a166e70dddb262112025-02-03T01:03:21ZengWileyJournal of Applied Mathematics1110-757X1687-00422017-01-01201710.1155/2017/24171952417195Computational Methods for Solving Linear Fuzzy Volterra Integral EquationJihan Hamaydi0Naji Qatanani1Department of Mathematics, An-Najah National University, Nablus, State of PalestineDepartment of Mathematics, An-Najah National University, Nablus, State of PalestineTwo numerical schemes, namely, the Taylor expansion and the variational iteration methods, have been implemented to give an approximate solution of the fuzzy linear Volterra integral equation of the second kind. To display the validity and applicability of the numerical methods, one illustrative example with known exact solution is presented. Numerical results show that the convergence and accuracy of these methods were in a good agreement with the exact solution. However, according to comparison of these methods, we conclude that the variational iteration method provides more accurate results.http://dx.doi.org/10.1155/2017/2417195 |
| spellingShingle | Jihan Hamaydi Naji Qatanani Computational Methods for Solving Linear Fuzzy Volterra Integral Equation Journal of Applied Mathematics |
| title | Computational Methods for Solving Linear Fuzzy Volterra Integral Equation |
| title_full | Computational Methods for Solving Linear Fuzzy Volterra Integral Equation |
| title_fullStr | Computational Methods for Solving Linear Fuzzy Volterra Integral Equation |
| title_full_unstemmed | Computational Methods for Solving Linear Fuzzy Volterra Integral Equation |
| title_short | Computational Methods for Solving Linear Fuzzy Volterra Integral Equation |
| title_sort | computational methods for solving linear fuzzy volterra integral equation |
| url | http://dx.doi.org/10.1155/2017/2417195 |
| work_keys_str_mv | AT jihanhamaydi computationalmethodsforsolvinglinearfuzzyvolterraintegralequation AT najiqatanani computationalmethodsforsolvinglinearfuzzyvolterraintegralequation |