Complex B-Spline Collocation Method for Solving Weakly Singular Volterra Integral Equations of the Second Kind
| dc.contributor.author | Ramezani, M. | |
| dc.contributor.author | Jafari, H. | |
| dc.contributor.author | Johnston, S. J. | |
| dc.contributor.author | Baleanu, D. | |
| dc.date.accessioned | 2025-05-13T13:32:51Z | |
| dc.date.available | 2025-05-13T13:32:51Z | |
| dc.date.issued | 2015 | |
| dc.description | Jafari, Hossein/0000-0001-6807-6675; Johnston, Sarah Jane/0000-0002-8942-3012; Ramezani, Mohammad/0000-0002-4189-267X | en_US |
| dc.description.abstract | In this paper we propose a new collocation type method for solving Volterra integral equations of the second kind with weakly singular kernels. In this method we use the complex B-spline basics in collocation method for solving Volterra integral. We compare the results obtained by this method with exact solution. A few numerical examples are presented to demonstrate the effectiveness of the proposed method. | en_US |
| dc.identifier.doi | 10.18514/MMN.2015.1469 | |
| dc.identifier.issn | 1787-2405 | |
| dc.identifier.issn | 1787-2413 | |
| dc.identifier.scopus | 2-s2.0-84958151576 | |
| dc.identifier.uri | https://doi.org/10.18514/MMN.2015.1469 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9917 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Miskolc inst Math | en_US |
| dc.relation.ispartof | Miskolc Mathematical Notes | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Volterra Integral Equation | en_US |
| dc.subject | Complex B-Spline | en_US |
| dc.subject | Collocation Method | en_US |
| dc.title | Complex B-Spline Collocation Method for Solving Weakly Singular Volterra Integral Equations of the Second Kind | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Jafari, Hossein/0000-0001-6807-6675 | |
| gdc.author.id | Johnston, Sarah Jane/0000-0002-8942-3012 | |
| gdc.author.id | Ramezani, Mohammad/0000-0002-4189-267X | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Jafari, Hossein/E-9912-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ramezani, M.] Islamic Azad Univ, Parand Branch, Young Researchers & Elite Club, Tehran, Iran; [Jafari, H.] Univ Mazandaran, Dept Math, Babol Sar, Iran; [Johnston, S. J.] Univ S Africa, Dept Math Sci, POB 392, ZA-0003 Johannesburg, South Africa; [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey | en_US |
| gdc.description.endpage | 1103 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1091 | en_US |
| gdc.description.volume | 16 | en_US |
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| gdc.oaire.keywords | QA Mathematics / matematika | |
| gdc.oaire.keywords | numerical examples | |
| gdc.oaire.keywords | collocation method | |
| gdc.oaire.keywords | Volterra integral equations | |
| gdc.oaire.keywords | weakly singular kernels | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) | |
| gdc.oaire.keywords | complex \(B\)-spline | |
| gdc.oaire.keywords | second kind | |
| gdc.oaire.keywords | Volterra integral equation | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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