The numerical solution of a coupled system of elliptic equations using the age fractional scheme

Abstract

In this paper, the Alternating Group Explicit (AGE) algorithm, which has proved to offer many advantages in its use as an explicit scheme in various applications, is now reformulated to solve a general coupled system of elliptic partial differential equations. Computational results are obtained to demonstrate the applicability of the method on some specific problems, i.e. the Biharmonic and Navier-Stokes equations.

Keywords:

• Biharmonic equation
• Navier-Stokes equations
• Alternating Group Explicit (AGE) method

C.R Categories:

• G.1.8

^∗Visiting Research Fellow, P.A.R.C., Loughborough University.

^†Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia.

^∗Visiting Research Fellow, P.A.R.C., Loughborough University.

^†Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia.

Notes

^∗Visiting Research Fellow, P.A.R.C., Loughborough University.

^†Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia.

Additional information

Notes on contributors

M. S. Sahimi

∗ †