Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara Differentiability
This paper solves the boundary value problem of the second-order differential equation under the neutrosophic fuzzy boundary condition. The proposed solution is approximated using the finite difference method but deneutrosophication utilizing strongly generalized Hukuhara differentiability. The erro...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2023-10-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/FiniteNeutrosophicFuzzy19.pdf |
| _version_ | 1827792254014586880 |
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| author | Bassem Kamal Huda E. Khalid A. A. Salama Galal I. El-Baghdady |
| author_facet | Bassem Kamal Huda E. Khalid A. A. Salama Galal I. El-Baghdady |
| author_sort | Bassem Kamal |
| collection | DOAJ |
| description | This paper solves the boundary value problem of the second-order differential equation under the neutrosophic fuzzy boundary condition. The proposed solution is approximated using the finite difference method but deneutrosophication utilizing strongly generalized Hukuhara differentiability. The error calculation is then processed by comparing the proposed numerical solution with the analytical solution presented in our earlier work [20]. |
| first_indexed | 2024-03-11T17:59:14Z |
| format | Article |
| id | doaj.art-a9849cbec7364a8e84a2dfc220017fbe |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-03-11T17:59:14Z |
| publishDate | 2023-10-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-a9849cbec7364a8e84a2dfc220017fbe2023-10-17T10:17:21ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2023-10-015831132910.5281/zenodo.8404478Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara DifferentiabilityBassem KamalHuda E. KhalidA. A. SalamaGalal I. El-BaghdadyThis paper solves the boundary value problem of the second-order differential equation under the neutrosophic fuzzy boundary condition. The proposed solution is approximated using the finite difference method but deneutrosophication utilizing strongly generalized Hukuhara differentiability. The error calculation is then processed by comparing the proposed numerical solution with the analytical solution presented in our earlier work [20].https://fs.unm.edu/NSS/FiniteNeutrosophicFuzzy19.pdffuzzy differential equationshukuhara differentiabilityfinite difference method |
| spellingShingle | Bassem Kamal Huda E. Khalid A. A. Salama Galal I. El-Baghdady Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara Differentiability Neutrosophic Sets and Systems fuzzy differential equations hukuhara differentiability finite difference method |
| title | Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara Differentiability |
| title_full | Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara Differentiability |
| title_fullStr | Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara Differentiability |
| title_full_unstemmed | Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara Differentiability |
| title_short | Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara Differentiability |
| title_sort | finite difference method for neutrosophic fuzzy second order differential equation under generalized hukuhara differentiability |
| topic | fuzzy differential equations hukuhara differentiability finite difference method |
| url | https://fs.unm.edu/NSS/FiniteNeutrosophicFuzzy19.pdf |
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