Solving the Time-Fractional Diffusion Equation Using a Lie Group Integrator
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Parto-Haghighi, Mohammad | |
| dc.contributor.author | Darvishi, Elham | |
| dc.contributor.author | Hashemi, Mir Sajjad | |
| dc.date.accessioned | 2017-03-29T11:25:20Z | |
| dc.date.accessioned | 2025-09-18T13:27:41Z | |
| dc.date.available | 2017-03-29T11:25:20Z | |
| dc.date.available | 2025-09-18T13:27:41Z | |
| dc.date.issued | 2015 | |
| dc.description | Hashemi, Mir Sajjad/0000-0002-5529-3125 | en_US |
| dc.description.abstract | In this paper, we propose a numerical method to approximate the solutions of time fractional diffusion equation which is in the class of Lie group integrators. Our utilized method, namely fictitious time integration method transforms the unknown dependent variable to a new variable with one dimension more. Then the group preserving scheme is used to integrate the new fractional partial differential equations in the augmented space R3+1. Effectiveness and validity of method demonstrated using two examples. | en_US |
| dc.identifier.citation | Hashemi, M.S...et al. (2015). Solving the time-fractional diffusion equation using a lie group integrator. Thermal Science, 19, (77-83). http://dx.doi.org/10.2298/TSCI15S1S77H | en_US |
| dc.identifier.doi | 10.2298/TSCI15S1S77H | |
| dc.identifier.issn | 0354-9836 | |
| dc.identifier.issn | 2334-7163 | |
| dc.identifier.scopus | 2-s2.0-84938069006 | |
| dc.identifier.uri | https://doi.org/10.2298/TSCI15S1S77H | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13022 | |
| dc.language.iso | en | en_US |
| dc.publisher | Vinca inst Nuclear Sci | en_US |
| dc.relation.ispartof | 4th International Symposium of South-East European Countries (SEEC) -- APR 03-04, 2003 -- Thessaloniki, GREECE | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Time Fractional Diffusion Equation | en_US |
| dc.subject | Fictitious Time Integration Method | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Group-Preserving Scheme | en_US |
| dc.title | Solving the Time-Fractional Diffusion Equation Using a Lie Group Integrator | en_US |
| dc.title | Solving the time-fractional diffusion equation using a lie group integrator | tr_TR |
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| gdc.author.id | Hashemi, Mir Sajjad/0000-0002-5529-3125 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Hashemi, Mir Sajjad/M-4081-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Hashemi, Mir Sajjad; Parto-Haghighi, Mohammad; Darvishi, Elham] Univ Bonab, Basic Sci Fac, Dept Math, Bonab, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | S83 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | S77 | en_US |
| gdc.description.volume | 19 | en_US |
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