Numerical solution of non-linear ordinary differential equations via collocation method (finite elements) and genetic algorithms

Authors:
Nikos E. Mastorakis
Affiliations:
Military Institutes of University Education, Hellenic Naval Academy, Piraeus, Greece
Venue:
EC'05 Proceedings of the 6th WSEAS international conference on Evolutionary computing
Year:
2005

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Abstract

In this paper a new method for solving (non-linear) ordinary differential equations is proposed. The method is based on finite elements (collocation method) as well as on genetic algorithms. The method seems to have some advantages in comparison with the typical sequential (one - step and multi - step) methods.