Two parameter age (tage) method for the solution of a tradiagonal linear system of equations

Abstract

In this paper we present a two parameter alternating group explicit (AGE) iterative method(TAGE) to solve the tridiagonal linear system Ay = k derived from the finite difference discretisation of a 2 point boundary value problem. The proof for the convergence of both the two parameter AGE and single parameter AGE [2] methods when the coefficient matrix is unsymmetric and real is presented. The case for the best acceleration parameters is also studied. The AGE iterative methods are used to solve four differential equations. The two parameter AGE method is explicit, accurate and flexible.

Keywords:

• Two parameter AGE method
• Usymmetric coefficient matrix

C.R.Categories:

• G.1.3
• G.1.7

^∗Dept. Mathematics, University of Mauritius, Reduit, Mauritius.

^∗Dept. Mathematics, University of Mauritius, Reduit, Mauritius.

Notes

^∗Dept. Mathematics, University of Mauritius, Reduit, Mauritius.