A Novel Computational Method for Solving Nonlinear Volterra Integro-Differential Equation
| dc.contributor.author | Cakir, Musa | |
| dc.contributor.author | Gunes, Baransel | |
| dc.contributor.author | Duru, Hakki | |
| dc.date.accessioned | 2025-05-10T17:09:16Z | |
| dc.date.available | 2025-05-10T17:09:16Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this paper, we study quasilinear Volterra integro-differential equations (VIDEs). Asymptotic estimates are made for the solution of VIDE. Finite difference scheme, which is accomplished by the method of integral identities using interpolating quadrature rules with weight functions and remainder term in integral form, is presented for the VIDE. Error estimates are carried out according to the discrete maximum norm. It is given an effective quasilinearization technique for solving nonlinear VIDE. The theoretical results are performed on numerical examples. | en_US |
| dc.identifier.doi | 10.48129/kjs.v48i1.9386 | |
| dc.identifier.issn | 2307-4108 | |
| dc.identifier.issn | 2307-4116 | |
| dc.identifier.scopus | 2-s2.0-85099287740 | |
| dc.identifier.uri | https://doi.org/10.48129/kjs.v48i1.9386 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/7099 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Publication Council | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Error Bounds | en_US |
| dc.subject | Finite Difference Method | en_US |
| dc.subject | Volterra Integro-Differential Equation | en_US |
| dc.title | A Novel Computational Method for Solving Nonlinear Volterra Integro-Differential Equation | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 22133512500 | |
| gdc.author.scopusid | 57221502698 | |
| gdc.author.scopusid | 56043249200 | |
| gdc.author.wosid | Duru, Hakkı/Aac-8449-2019 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Cakir, Musa; Gunes, Baransel; Duru, Hakki] Yuzuncu Yil Univ, Dept Math, Fac Sci, Van, Turkey | en_US |
| gdc.description.endpage | 9 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1 | en_US |
| gdc.description.volume | 48 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000651779900001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |