The spline alternating group explicit (splage) method

Abstract

In this paper the AGE iterative method is applied to the set of linear 3 term recurrence equations derived from the cubic spline approximations to the one dimensional diffusion equation. Convergence and stability for the method is proved and the derivation and existence of the optimal acceleration parameters for the stationary and nonstationary forms of the method established

Keywords:

• Parabolic p.d.e
• AGE iterative method
• cubic spline approximations

C.R.Categories:

• G 1.8