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GPEM
2006

Solving differential equations with genetic programming

9 years 2 months ago
Solving differential equations with genetic programming
A novel method for solving ordinary and partial differential equations, based on grammatical evolution is presented. The method forms generations of trial solutions expressed in an analytical closed form. Several examples are worked out and in most cases the exact solution is recovered. When the solution cannot be expressed in a closed analytical form then our method produces an approximation with a controlled level of accuracy. We report results on several problems to illustrate the potential of this approach. Keywords Grammatical evolution . Genetic programming . Differential equations . Evolutionary modeling
Ioannis G. Tsoulos, Isaac E. Lagaris
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2006
Where GPEM
Authors Ioannis G. Tsoulos, Isaac E. Lagaris
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