A mini-review of numerical methods for high-order problems†

†This paper is dedicated to Professor E. H. Twizell.

Abstract

In this paper we present a mini-review of the numerical methods most commonly used during the last two decades to solve high-order ordinary differential equations, including initial-value, boundary-value and eigenvalue problems.

Keywords:

• Numerical analysis
• Differential equations
• Finite differences
• Modelling
• Biomedical

Acknowledgements

This research was supported by the projet Global d'Université Mohamed Premier (PGR).

Notes

†This paper is dedicated to Professor E. H. Twizell.