On the Accurate Discretization of a Highly Nonlinear Boundary Value Problem
| dc.contributor.author | Jajarmi, Amin | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Hajipour, Mojtaba | |
| dc.date.accessioned | 2020-03-23T07:30:27Z | |
| dc.date.accessioned | 2025-09-18T13:28:04Z | |
| dc.date.available | 2020-03-23T07:30:27Z | |
| dc.date.available | 2025-09-18T13:28:04Z | |
| dc.date.issued | 2018 | |
| dc.description | Hajipour, Mojtaba/0000-0002-7223-9577 | en_US |
| dc.description.abstract | The aim of this manuscript is to investigate an accurate discretization method to solve the one-, two-, and three-dimensional highly nonlinear Bratu-type problems. By discretization of the nonlinear equation via a fourth-order nonstandard compact finite difference formula, the considered problem is reduced to the solution of a highly nonlinear algebraic system. To solve the derived nonlinear system, a modified nonlinear solver is used. The new scheme is accurate, fast, straightforward and very effective to find the lower and upper branches of the Bratu's problem. Numerical simulations and comparative results for the one-, two-, and three-dimensional cases verify that the new technique is easy to implement and more accurate than the other existing methods in the literature. | en_US |
| dc.identifier.citation | Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru, "On the accurate discretization of a highly nonlinear boundary value problem", Numerical Algorithms, Vol. 79, No.3, pp. 679-695, (2018). | en_US |
| dc.identifier.doi | 10.1007/s11075-017-0455-1 | |
| dc.identifier.issn | 1017-1398 | |
| dc.identifier.issn | 1572-9265 | |
| dc.identifier.scopus | 2-s2.0-85037659989 | |
| dc.identifier.uri | https://doi.org/10.1007/s11075-017-0455-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13138 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Numerical Algorithms | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Bratu'S Problem | en_US |
| dc.subject | Nonstandard Compact Finite Difference Scheme | en_US |
| dc.subject | Iterative Method | en_US |
| dc.title | On the Accurate Discretization of a Highly Nonlinear Boundary Value Problem | en_US |
| dc.title | On the accurate discretization of a highly nonlinear boundary value problem | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Jajarmi, Amin/O-7701-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Hajipour, Mojtaba/E-1417-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Hajipour, Mojtaba] Sahand Univ Technol, Dept Math, POB 51335-1996, Tabriz, Iran; [Jajarmi, Amin] Univ Bojnord, Dept Elect Engn, POB 94531-1339, Bojnord, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, MG-23, Magurele 76900, Romania | en_US |
| gdc.description.endpage | 695 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 679 | en_US |
| gdc.description.volume | 79 | en_US |
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| gdc.oaire.keywords | Finite difference methods for boundary value problems involving PDEs | |
| gdc.oaire.keywords | Numerical solution of boundary value problems involving ordinary differential equations | |
| gdc.oaire.keywords | iterative method | |
| gdc.oaire.keywords | nonstandard compact finite difference scheme | |
| gdc.oaire.keywords | Numerical solution of discretized equations for boundary value problems involving PDEs | |
| gdc.oaire.keywords | Bratu's problem | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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