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contributor authorDoha, E. H.
contributor authorBhrawy, A. H.
contributor authorEzz
date accessioned2017-05-09T01:15:38Z
date available2017-05-09T01:15:38Z
date issued2015
identifier issn1555-1415
identifier othercnd_010_02_021019.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/157266
description abstractIn this work, we discuss an operational matrix approach for introducing an approximate solution of the fractional subdiffusion equation (FSDE) with both Dirichlet boundary conditions (DBCs) and Neumann boundary conditions (NBCs). We propose a spectral method in both temporal and spatial discretizations for this equation. Our approach is based on the spacetime shifted Legendre tauspectral method combined with the operational matrix of fractional integrals, described in the Riemann–Liouville sense. The main characteristic behind this approach is to reduce such problems to those of solving systems of algebraic equations in the unknown expansion coefficients of the soughtfor spectral approximations. In addition, this approach is also investigated for solving the FSDE with the variable coefficients and the fractional reaction subdiffusion equation (FRSDE). For conforming the validity and accuracy of the numerical scheme proposed, four numerical examples with their approximate solutions are presented. Also, comparisons between our numerical results and those obtained by compact finite difference method (CFDM), Boxtype scheme (BTS), and FDM with Fourier analysis (FA) are introduced.
publisherThe American Society of Mechanical Engineers (ASME)
titleAn Efficient Legendre Spectral Tau Matrix Formulation for Solving Fractional Subdiffusion and Reaction Subdiffusion Equations
typeJournal Paper
journal volume10
journal issue2
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4027944
journal fristpage21019
journal lastpage21019
identifier eissn1555-1423
treeJournal of Computational and Nonlinear Dynamics:;2015:;volume( 010 ):;issue: 002
contenttypeFulltext


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