The smart alternating group explicit (smage) method

Abstract

In this paper a more efficient form of the Alternating Group Explicit (AGE) method [1] for the numerical solution of tridiagonal linear systems derived from the discretisation of nonlinear 2^nd order differential equations with 2 point boundary conditions is derived. Numerical results are presented which confirm the conclusions.

Keywords:

• Nonlinear 2 point B.V. problem
• AGE method
• Peaceman-Rachford form

C. R. Categories:

• G.1.3
• G.1.7

^†Nottingham Trent University. Nottingham.

^∗Universiti Teknologi Malaysia, Johor Bahru, Malaysia.

^†Nottingham Trent University. Nottingham.

^∗Universiti Teknologi Malaysia, Johor Bahru, Malaysia.

Notes

^†Nottingham Trent University. Nottingham.

^∗Universiti Teknologi Malaysia, Johor Bahru, Malaysia.