HIGHER ORDER COMPACT FINITE DIFFERENCE METHOD FOR THE SOLUTION OF 2-D TIME FRACTIONAL DIFFUSION EQUATION
Journal Title: Matrix Science Mathematic | Matriks Sains Matematik (MSMK) - Year 2018, Vol 2, Issue 1
Abstract
The main purpose of this study is to work on the solution of two-dimensional time fractional diffusion equation In this research work we apply the HOC scheme to approximate the second order space derivative. To obtain a discrete implicit scheme, Grunwald-Letnikov descritization is used in sense to approximate the Riemann-Liouville time fractional derivative. The scheme thus obtained is based on block pentadiagonal matrix and each matrix has five-point stencil in order to reduce the computational cost we use AOS method. In AOS method, before taking the average of two solutions first we split the n-dimensional problems into a sum of n-one dimensional problem.
Authors and Affiliations
Muhammad Usman, Noor Badshah, Fazal Ghaffar
Keywords
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- EP ID EP401976
- DOI 10.26480/msmk.01.2018.04.08
- Views 78
- Downloads 0
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