%0 Journal Article %1 Tsoulos:2006:GPEM %A Tsoulos, I. G. %A Lagaris, I. E. %D 2006 %J Genetic Programming and Evolvable Machines %K Differential Evolutionary Grammatical algorithms, equations, evolution, genetic modelling programming, %N 1 %P 33--54 %R doi:10.1007/s10710-006-7009-y %T Solving differential equations with genetic programming %U http://www.cs.uoi.gr/~lagaris/papers/PREPRINTS/DEwGE.pdf %V 7 %X 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.

@article{Tsoulos:2006:GPEM, abstract = {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.}, added-at = {2008-06-19T17:46:40.000+0200}, author = {Tsoulos, I. G. and Lagaris, I. E.}, biburl = {https://www.bibsonomy.org/bibtex/24192167ba80d098e3f029026e9fd4737/brazovayeye}, doi = {doi:10.1007/s10710-006-7009-y}, interhash = {5a724dd9c9f176c4d057137d502aa17d}, intrahash = {4192167ba80d098e3f029026e9fd4737}, issn = {1389-2576}, journal = {Genetic Programming and Evolvable Machines}, keywords = {Differential Evolutionary Grammatical algorithms, equations, evolution, genetic modelling programming,}, month = {March}, notes = {ODE, PDE}, number = 1, pages = {33--54}, size = {22 pages}, timestamp = {2008-06-19T17:53:21.000+0200}, title = {Solving differential equations with genetic programming}, url = {http://www.cs.uoi.gr/~lagaris/papers/PREPRINTS/DEwGE.pdf}, volume = 7, year = 2006 }