A new explicit method for the solution of

Abstract

An explicit finite difference approximation procedure which is unconditionally stable for the solution of the general multidimensional, non-homogeneous diffusion equation is presented. This method possesses the advantages of the implicit methods, i.e., no severe limitation on the size of the time increment. Also it has the simplicity of the explicit methods and employs the same “marching” type technique of solution. Results obtained by this method for several different problems were compared with the exact solution and agreed closely with those obtained by other finite-difference methods. For the examples solved the numerical results obtained by the present method are in satisfactory agreement with the exact solution.

Keywords:

• Asymmetric finite difference equations
• Diffusion equation in 2 space dimensions
• 4 Point group explicit method
• Alternating group explicit (ag.e.) methods

C.R. Categories:

• 5.17

†Now at National University of Malaysia, Kuala Lumpur, Malaysia.

†Now at National University of Malaysia, Kuala Lumpur, Malaysia.

Notes

†Now at National University of Malaysia, Kuala Lumpur, Malaysia.