Linearizing Stiff Delay Differential Equations

Authors

S. Amat, Departamento de Matem´atica Aplicada y Estad´ıstica. Universidad Polit´ecnica de Cartagena, Spain
M.J. L´egaz
P. Pedregal

Author Country (or Countries)

Spain

Abstract

This paper deals to the study and approximation of stiff delay differential equations based on an analysis of a certain error functional. In seeking to minimize the error by using standard descent schemes, the procedure can never get stuck in local minima, but will always and steadily decrease the error until getting to the solution sought. Starting with an initial approximation to the solution, we improve it, adding the solution of some associated linear problems, in such a way that the error is decreased. The performance is expected very good due to the fact that we can use very robust methods to approximate linear stiff delay differential equations.

Suggested Reviewers

N/A

Recommended Citation

Amat, S.; L´egaz, M.J.; and Pedregal, P. (2013) "Linearizing Stiff Delay Differential Equations," Applied Mathematics & Information Sciences: Vol. 07: Iss. 1, Article 28.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss1/28