The block alternating group explicit method (BLAGE)‎ to solve elliptic singular perturbation problem

الملخص EN

In this paper, we present the Block Alternating Group Explicit Method (BLAGE) to solve the block tridiagonal linear system of equations derived from the discretization 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 differential equations.

The BLAGE method to solve block tridiagonal linear system requires the solution of a simpler tridiagonal system of equations.

The method is accurate and flexible.