The iterative alternating decomposition explicit (iade) method to solve the heat conduction equation

Abstract

Using the well-known fact of the parabolic-elliptic correspondence, a two-stage iterative explicit procedure of the Mitchell-Fairweather variant is developed to solve the one-dimensional parabolic problem. The method is shown to be more accurate than the recently developed Alternating Group Explicit (AGE) scheme. By the nature of its explicitness, the IADE method is suitable for application on parallel computers.

Keywords:

• Alternating Group Explict (AGE) method
• Iterative Alternating Decomposition Explicit (IADE) method

C.R.Categories:

• G.1.7