Approximate Solutions of Nonlinear Two-Dimensional Volterra Integral Equations
| dc.contributor.author | Nawaz, Rashid | |
| dc.contributor.author | Akbar, Muhammad | |
| dc.contributor.author | Nisar, Kottakkaran Sooppy | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ahsan, Sumbal | |
| dc.date.accessioned | 2022-03-22T11:43:58Z | |
| dc.date.accessioned | 2025-09-18T14:09:29Z | |
| dc.date.available | 2022-03-22T11:43:58Z | |
| dc.date.available | 2025-09-18T14:09:29Z | |
| dc.date.issued | 2021 | |
| dc.description | Nawaz, Rashid/0000-0002-4773-8446; Ahsan, Sumbal/0000-0003-0524-8622; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320 | en_US |
| dc.description.abstract | The present work is concerned with examining the Optimal Homotopy Asymptotic Method (OHAM) for linear and nonlinear two-dimensional Volterra integral equations (2D-VIEs). The result obtained by the suggested method for linear 2D-VIEs is compared with the differential transform method, Bernstein polynomial method, and piecewise block-plus method and result of the proposed method for nonlinear 2D-VIEs is compared with 2D differential transform method. The proposed method provides us with efficient and more accurate solutions compared to the other existing methods in the literature. | en_US |
| dc.identifier.citation | Ahsan, Sumbal...et al. (2021). "Approximate solutions of nonlinear two-dimensional Volterra integral equations", Mathematical Methods in the Applied Sciences, Vol. 44, No. 7, pp. 5548-5559. | en_US |
| dc.identifier.doi | 10.1002/mma.7128 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85101143165 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.7128 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13404 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | 2D‐ | en_US |
| dc.subject | Vies | en_US |
| dc.subject | Analytical Solution | en_US |
| dc.subject | The Optimal Homotpy Asymptotic Method | en_US |
| dc.title | Approximate Solutions of Nonlinear Two-Dimensional Volterra Integral Equations | en_US |
| dc.title | Approximate solutions of nonlinear two-dimensional Volterra integral equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Nawaz, Rashid/0000-0002-4773-8446 | |
| gdc.author.id | Ahsan, Sumbal/0000-0003-0524-8622 | |
| gdc.author.id | Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nawaz, Rashid/Lwj-0213-2024 | |
| gdc.author.wosid | Akbar, Muhammad/Gvs-6037-2022 | |
| gdc.author.wosid | Nisar, Prof. Kottakkaran Sooppy/F-7559-2015 | |
| gdc.author.yokid | 56389 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ahsan, Sumbal; Nawaz, Rashid; Akbar, Muhammad] Abdul Wali Khan Univ Mardan, Dept Math, Khyber Pakhtunkhwa, Pakistan; [Nisar, Kottakkaran Sooppy] Coll Arts & Sci, Dept Math, Wadi Aldawaser, Saudi Arabia; [Nisar, Kottakkaran Sooppy] Prince Sattam Bin Abdulaziz Univ, Alkharj, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 5559 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 5548 | en_US |
| gdc.description.volume | 44 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | analytical solution | |
| gdc.oaire.keywords | Volterra integral equations | |
| gdc.oaire.keywords | 2D-VIEs | |
| gdc.oaire.keywords | Integral representations, integral operators, integral equations methods in two dimensions | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | Theoretical approximation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | optimal homotpy asymptotic method | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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