The numerical solution of multidimensional partial differential equations by the explicit alternating direction (ead) method

Abstract

In this paper a new explicit alternating direction (EAD) method is presented for the numerical solution of partial differential equations in 2 and 3 dimensions. It is shown that the method is stable and comparable in accuracy to the established ADI methods. Finally the new method because of its ‘explicitness’ is ideally suitable for massively parallel computers.

Keywords:

• Explicit Alternating Direction (EAD) method
• ADI
• AGE
• partial differential equations

C.R. Categories:

• G.1.8

^†Universiti Teknologi Malyasia

^†Universiti Teknologi Malyasia

Notes

^†Universiti Teknologi Malyasia