Generalizing of Finite Difference Method for Certain Fractional Order Parabolic PDE’s

Authors

  • Madeha Shaltagh Yousif Part of Applied Mathematics, Department of Applied Science, University of Technology, Baghdad, Iraq.
  • Ahmed Mohamed Shukur Part of Applied Mathematics, Department of Applied Science, University of Technology, Baghdad, Iraq.
  • Eman Hassan Ouda Part of Applied Mathematics, Department of Applied Science, University of Technology, Baghdad, Iraq.
  • Raghad Kadhim Salih Part of Applied Mathematics, Department of Applied Science, University of Technology, Baghdad, Iraq.

DOI:

https://doi.org/10.29304/jqcm.2018.10.3.404

Keywords:

: fractional order PDE, fractional itegro-differential equation, fractional Parabolic

Abstract

Space-time fractional differential equation with integral term (S-TFDE) has been considered.

The finite difference method (implicit and explicit) combined with the trapezoidal integration formula has been used to

find special formula to solve this equation. The stability and convergence have been discussed. The effect of adding an

integral term to the common classical equation has been considered.  Graphical representation of the calculate solutions

(obtained by the explicit and the implicit methods) for three numerical examples with their exact solution, are

considered. All the calculations and graphs are designed with the help of MATLAB.

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Published

2018-08-05

How to Cite

Shaltagh Yousif, M., Mohamed Shukur, A., Hassan Ouda, E., & Kadhim Salih, R. (2018). Generalizing of Finite Difference Method for Certain Fractional Order Parabolic PDE’s. Journal of Al-Qadisiyah for Computer Science and Mathematics, 10(3), Math Page 41 – 53. https://doi.org/10.29304/jqcm.2018.10.3.404

Issue

Vol. 10 No. 3 (2018): JQCM

Section

Math Articles