publication . Article . 2016

Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation

Saeid Gholami; Esmail Babolian; Mohammad Masoud Javidi;
Open Access
  • Published: 01 Oct 2016
  • Publisher: TÜBİTAK
Abstract
This paper presents a new numerical approach to solve single and multiterm time fractional diffusion equations. In this work, the space dimension is discretized to the Gauss$-$Lobatto points. We use the normalized Grunwald approximation for the time dimension and a pseudospectral successive integration matrix for the space dimension. This approach shows that with fewer numbers of points, we can approximate the solution with more accuracy. Some examples with numerical results in tables and figures displayed.
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Subjects
free text keywords: Pseudospectral integration matrix,normalized Grunwald approximation,Gauss$-$Lobatto points,multiterm fractional diffusion equation, Multiple time dimensions, Discretization, Gauss pseudospectral method, Matrix (mathematics), Operational matrix, Normalization (statistics), Pseudospectral optimal control, Fractional diffusion, Mathematical analysis, Mathematics
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