Sawi Decomposition Method for Volterra Integral Equation with Application
In this paper, authors present a new method “Sawi decomposition method” for determining the primitive of Volterra integral equation (V.I.E.) with application. Sawi decomposition method is the combination of Sawi transformation and decomposition method. Some numerical problems have been considered an...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6687134 |
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| author | M. Higazy Sudhanshu Aggarwal Taher A. Nofal |
| author_facet | M. Higazy Sudhanshu Aggarwal Taher A. Nofal |
| author_sort | M. Higazy |
| collection | DOAJ |
| description | In this paper, authors present a new method “Sawi decomposition method” for determining the primitive of Volterra integral equation (V.I.E.) with application. Sawi decomposition method is the combination of Sawi transformation and decomposition method. Some numerical problems have been considered and solved sequentially for explaining the complete methodology. For the practical application of the Sawi decomposition method, an advance problem of medical science for determining the blood glucose concentration during an intravenous injection has been considered and solved sequentially applying this method. Results of numerical problems depict that the Sawi decomposition method is a very effective decomposition method for determining the primitives of V.I.E. |
| format | Article |
| id | doaj-art-da6150d4720e4c8a9d8b18bcffc2d7ce |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-da6150d4720e4c8a9d8b18bcffc2d7ce2025-02-03T01:01:24ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/66871346687134Sawi Decomposition Method for Volterra Integral Equation with ApplicationM. Higazy0Sudhanshu Aggarwal1Taher A. Nofal2Department of Mathematics and Statistics, College of Science, P.O. Box 11099, Taif University, Taif 21944, Saudi ArabiaAssistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur 273402, Uttar Pradesh, IndiaDepartment of Mathematics and Statistics, College of Science, P.O. Box 11099, Taif University, Taif 21944, Saudi ArabiaIn this paper, authors present a new method “Sawi decomposition method” for determining the primitive of Volterra integral equation (V.I.E.) with application. Sawi decomposition method is the combination of Sawi transformation and decomposition method. Some numerical problems have been considered and solved sequentially for explaining the complete methodology. For the practical application of the Sawi decomposition method, an advance problem of medical science for determining the blood glucose concentration during an intravenous injection has been considered and solved sequentially applying this method. Results of numerical problems depict that the Sawi decomposition method is a very effective decomposition method for determining the primitives of V.I.E.http://dx.doi.org/10.1155/2020/6687134 |
| spellingShingle | M. Higazy Sudhanshu Aggarwal Taher A. Nofal Sawi Decomposition Method for Volterra Integral Equation with Application Journal of Mathematics |
| title | Sawi Decomposition Method for Volterra Integral Equation with Application |
| title_full | Sawi Decomposition Method for Volterra Integral Equation with Application |
| title_fullStr | Sawi Decomposition Method for Volterra Integral Equation with Application |
| title_full_unstemmed | Sawi Decomposition Method for Volterra Integral Equation with Application |
| title_short | Sawi Decomposition Method for Volterra Integral Equation with Application |
| title_sort | sawi decomposition method for volterra integral equation with application |
| url | http://dx.doi.org/10.1155/2020/6687134 |
| work_keys_str_mv | AT mhigazy sawidecompositionmethodforvolterraintegralequationwithapplication AT sudhanshuaggarwal sawidecompositionmethodforvolterraintegralequationwithapplication AT taheranofal sawidecompositionmethodforvolterraintegralequationwithapplication |