A Nonstandard Finite Difference Scheme for Two-Sided Space-Fractional Partial Differential Equations
| dc.contributor.author | Abu Rqayiq, Abdullah | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Momani, Shaher | |
| dc.date.accessioned | 2017-02-21T12:21:23Z | |
| dc.date.accessioned | 2025-09-18T12:48:55Z | |
| dc.date.available | 2017-02-21T12:21:23Z | |
| dc.date.available | 2025-09-18T12:48:55Z | |
| dc.date.issued | 2012 | |
| dc.description | Momani, Shaher/0000-0002-6326-8456; Baleanu, Dumitru/0000-0002-0286-7244 | en_US |
| dc.description.abstract | In this paper, we apply the Mickens nonstandard discretization method to solve a class of initial-boundary value fractional partial differential equations with variable coefficients on a finite domain, and thereby increase the accuracy of the solutions. We examine the case when a left-handed and a right-handed fractional spatial derivative may be present in the partial differential equation. Two numerical examples using this method are presented and compared successfully with the exact analytical solutions. | en_US |
| dc.identifier.citation | Momani, S., Abu Rqayiq, A., Baleanu, D. (2012). A nonstandard finite difference scheme for two-sided space-fractional partial differential equations. International Journal of Bifurcation And Chaos, 22(4), 1-5. http://dx.doi.org/10.1142/S0218127412500794 | en_US |
| dc.identifier.doi | 10.1142/S0218127412500794 | |
| dc.identifier.issn | 0218-1274 | |
| dc.identifier.issn | 1793-6551 | |
| dc.identifier.scopus | 2-s2.0-84861220180 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218127412500794 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12195 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | International Journal of Bifurcation and Chaos | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Left-Handed Fractional Derivative | en_US |
| dc.subject | Right-Handed Fractional Derivative | en_US |
| dc.subject | Nonstandard Finite Difference Schemes | en_US |
| dc.title | A Nonstandard Finite Difference Scheme for Two-Sided Space-Fractional Partial Differential Equations | en_US |
| dc.title | A nonstandard finite difference scheme for two-sided space-fractional partial differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Momani, Shaher/0000-0002-6326-8456 | |
| gdc.author.id | Baleanu, Dumitru/0000-0002-0286-7244 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Momani, Shaher/P-7973-2014 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Momani, Shaher] Univ Jordan, Dept Math, Amman 11942, Jordan; [Abu Rqayiq, Abdullah] Mutah Univ, Dept Math, Al Karak, Jordan; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 22 | en_US |
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| gdc.oaire.keywords | Finite difference methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | right-handed fractional derivative | |
| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | left-handed fractional derivative | |
| gdc.oaire.keywords | nonstandard finite difference schemes | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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