Solving the time-fractional diffusion equation using a lie group integrator

Hashemi, Mir Sajjad; Baleanu, Dumitru; Parto-Haghighi, Mohammad; Darvishi, Elham

dc.contributor.author	Hashemi, Mir Sajjad
dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Parto-Haghighi, Mohammad
dc.contributor.author	Darvishi, Elham
dc.date.accessioned	2017-03-29T11:25:20Z
dc.date.available	2017-03-29T11:25:20Z
dc.date.issued	2015
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	tr_TR
dc.identifier.issn	0354-9836
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1515
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.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Vinca Inst Nuclear Sci	tr_TR
dc.relation.isversionof	10.2298/TSCI15S1S77H	tr_TR
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Time Fractional Diffusion Equation	tr_TR
dc.subject	Fictitious Time Integration Method	tr_TR
dc.subject	Caputo Fractional Derivative	tr_TR
dc.subject	Group-Preserving Scheme	tr_TR
dc.title	Solving the time-fractional diffusion equation using a lie group integrator	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Thermal Science	tr_TR
dc.identifier.volume	19	tr_TR
dc.identifier.startpage	77	tr_TR
dc.identifier.endpage	83	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR