The block alternating group explicit method (blage) to solve 2D-elliptic differential equations

Abstract

In this paper, we present the Block Alternating Group Explicit Method (BLAGE) to solve the block tridiagonal linear system of equations derived from the discretisation of 2D-elliptic boundary value problems. The convergence of the method is proved and the case for optimum acceleration parameters is also studied. The BLAGE method is used to solve two partial differential equations for which it is required to solve block tridiagonal linear system involving the solution of simpler tridiagonal system of equations. The method is accurate and flexible.

Keywords:

• BLAGE
• block tridiagonal linear system
• elliptic boundary value problem

C. R. Categories:

• G 1.3
• G 1.8