A comparison of numerical o.d.e. solvers based on arithmetic and geometric means

Abstract

A new class of non-linear methods based on Euler's integration formula for the numerical solution of ordinary differential equations is presented.

Considerations are given to the accuracy and stability of the proposed method and its applicability to stiff problems with supporting numerical evidence.

Keywords:

• Euler's formula
• G. M. Euler formula
• stability
• A-stable
• stiff O.D.E.s

C.R. Categories:

• G.17.

University of Technology, Kuala Lumpur, Malaysia.

University of Technology, Kuala Lumpur, Malaysia.

Notes

University of Technology, Kuala Lumpur, Malaysia.