Analytical Solution of System of Volterra Integral Equations Using Oham
| dc.contributor.author | Nawaz, Rashid | |
| dc.contributor.author | Ahsan, Sumbal | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nisar, Kottakkaran Sooppy | |
| dc.contributor.author | Akbar, Muhammad | |
| dc.date.accessioned | 2022-03-22T10:41:32Z | |
| dc.date.accessioned | 2025-09-18T12:10:02Z | |
| dc.date.available | 2022-03-22T10:41:32Z | |
| dc.date.available | 2025-09-18T12:10:02Z | |
| dc.date.issued | 2020 | |
| dc.description | Nawaz, Rashid/0000-0002-4773-8446; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320 | en_US |
| dc.description.abstract | In this work, a reliable technique is used for the solution of a system of Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed technique is successfully applied for the solution of different problems, and comparison is made with the relaxed Monto Carlo method (RMCM) and hat basis function method (HBFM). The comparisons show that the present technique is more suitable and reliable for the solution of a system of VIEs. The presented technique uses auxiliary function containing auxiliary constants, which control the convergence. Moreover, OHAM does not require discretization like other numerical methods and is also free from small or large parameter. | en_US |
| dc.identifier.citation | Akbar, Muhammad...et al. (2020). "Analytical Solution of System of Volterra Integral Equations Using OHAM", Journal of Mathematics, Vol. 2020. | en_US |
| dc.identifier.doi | 10.1155/2020/8845491 | |
| dc.identifier.issn | 2314-4629 | |
| dc.identifier.issn | 2314-4785 | |
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| dc.identifier.uri | https://doi.org/10.1155/2020/8845491 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11579 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Journal of Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Analytical Solution of System of Volterra Integral Equations Using Oham | en_US |
| dc.title | Analytical Solution of System of Volterra Integral Equations Using OHAM | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Nawaz, Rashid/0000-0002-4773-8446 | |
| gdc.author.id | Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320 | |
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| gdc.author.wosid | Akbar, Muhammad/Gvs-6037-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nawaz, Rashid/Lwj-0213-2024 | |
| gdc.author.wosid | Nisar, Prof. Kottakkaran Sooppy/F-7559-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Akbar, Muhammad; Nawaz, Rashid; Ahsan, Sumbal] Abdul Wali Khan Univ Mardan, Dept Math, Mardan, Khyber Pakhtunk, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Nisar, Kottakkaran Sooppy] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawaser, Saudi Arabia | en_US |
| gdc.description.endpage | 9 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Homotopy Analysis Method | |
| gdc.oaire.keywords | Homotopy | |
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| gdc.oaire.keywords | Discretization | |
| gdc.oaire.keywords | Volterra integral equations | |
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