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 100
  • Downloads 0

How To Cite

Muhammad Usman, Noor Badshah, Fazal Ghaffar (2018). HIGHER ORDER COMPACT FINITE DIFFERENCE METHOD FOR THE SOLUTION OF 2-D TIME FRACTIONAL DIFFUSION EQUATION. Matrix Science Mathematic | Matriks Sains Matematik (MSMK), 2(1), 4-8. https://europub.co.uk/articles/-A-401976