Numerical Techniques for solving ordinary differential equations with uncertainty
In this article, we derive a numerical solution to the ordinary differential equation with a neutrosophic number as the initial condition.The Adams-Bashforth, Adams-Moulton, and predictorcorrector algorithms are used to solve the differential equation with hexagonal neutrosophic number as the initia...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2024-11-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/28Kurian_NumericalTechniques.pdf |
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| _version_ | 1849228886402924544 |
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| author | Augus Kurian I R Sumathi |
| author_facet | Augus Kurian I R Sumathi |
| author_sort | Augus Kurian |
| collection | DOAJ |
| description | In this article, we derive a numerical solution to the ordinary differential equation with a neutrosophic number as the initial condition.The Adams-Bashforth, Adams-Moulton, and predictorcorrector algorithms are used to solve the differential equation with hexagonal neutrosophic number as the initial condition. The convergence and stability of the methods are also investigated. |
| format | Article |
| id | doaj-art-95e577bc56c546dba4c742e260eb08d2 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2024-11-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-95e577bc56c546dba4c742e260eb08d22025-08-22T12:40:04ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2024-11-017332434010.5281/zenodo.13989246Numerical Techniques for solving ordinary differential equations with uncertaintyAugus KurianI R SumathiIn this article, we derive a numerical solution to the ordinary differential equation with a neutrosophic number as the initial condition.The Adams-Bashforth, Adams-Moulton, and predictorcorrector algorithms are used to solve the differential equation with hexagonal neutrosophic number as the initial condition. The convergence and stability of the methods are also investigated.https://fs.unm.edu/NSS/28Kurian_NumericalTechniques.pdfneutrosophic numberadams bashforthadams-moulton and predictor corrector methods |
| spellingShingle | Augus Kurian I R Sumathi Numerical Techniques for solving ordinary differential equations with uncertainty Neutrosophic Sets and Systems neutrosophic number adams bashforth adams-moulton and predictor corrector methods |
| title | Numerical Techniques for solving ordinary differential equations with uncertainty |
| title_full | Numerical Techniques for solving ordinary differential equations with uncertainty |
| title_fullStr | Numerical Techniques for solving ordinary differential equations with uncertainty |
| title_full_unstemmed | Numerical Techniques for solving ordinary differential equations with uncertainty |
| title_short | Numerical Techniques for solving ordinary differential equations with uncertainty |
| title_sort | numerical techniques for solving ordinary differential equations with uncertainty |
| topic | neutrosophic number adams bashforth adams-moulton and predictor corrector methods |
| url | https://fs.unm.edu/NSS/28Kurian_NumericalTechniques.pdf |
| work_keys_str_mv | AT auguskurian numericaltechniquesforsolvingordinarydifferentialequationswithuncertainty AT irsumathi numericaltechniquesforsolvingordinarydifferentialequationswithuncertainty |