Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
Genetic programming: on the programming of computers by means of natural selection
Genetic programming: on the programming of computers by means of natural selection
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Evolutionary Modeling of Systems of Ordinary Differential Equations with Genetic Programming
Genetic Programming and Evolvable Machines
Inference Of Differential Equation Moels By Genetic Programming
GECCO '02 Proceedings of the Genetic and Evolutionary Computation Conference
Grammatical Evolution: Evolving Programs for an Arbitrary Language
EuroGP '98 Proceedings of the First European Workshop on Genetic Programming
Grammatical Evolution: Evolutionary Automatic Programming in an Arbitrary Language
Grammatical Evolution: Evolutionary Automatic Programming in an Arbitrary Language
IEEE Transactions on Evolutionary Computation
Artificial neural networks for solving ordinary and partial differential equations
IEEE Transactions on Neural Networks
Inference of differential equation models by genetic programming
Information Sciences: an International Journal
Genetic Programming and Evolvable Machines
GEVA: grammatical evolution in Java
ACM SIGEVOlution
Inference of Differential Equations for Modeling Chemical Reactions
ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Grammar-based Genetic Programming: a survey
Genetic Programming and Evolvable Machines
Time-series forecasting using a system of ordinary differential equations
Information Sciences: an International Journal
Evolutionary computational intelligence in solving the fractional differential equations
ACIIDS'10 Proceedings of the Second international conference on Intelligent information and database systems: Part I
EuroGP'11 Proceedings of the 14th European conference on Genetic programming
Analytic solutions to differential equations under graph-based genetic programming
EuroGP'10 Proceedings of the 13th European conference on Genetic Programming
Solving differential equations with Fourier series and Evolution Strategies
Applied Soft Computing
Parse-matrix evolution for symbolic regression
Engineering Applications of Artificial Intelligence
Solving variational and Cauchy problems with self-configuring genetic programming algorithm
International Journal of Innovative Computing and Applications
Comparison of artificial neural network architecture in solving ordinary differential equations
Advances in Artificial Neural Systems
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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.