Genetic Programming Approaches for Solving Elliptic Partial Differential Equations

@article{Sobester2008GeneticPA,
  title={Genetic Programming Approaches for Solving Elliptic Partial Differential Equations},
  author={Andras Sobester and Prasanth B. Nair and Andy J. Keane},
  journal={IEEE Transactions on Evolutionary Computation},
  year={2008},
  volume={12},
  pages={469-478}
}
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized using GP. Two approaches are presented for the repair of the symbolic expression for the field variables evolved by the GP algorithm to ensure that the governing equations as well as the boundary conditions are satisfied. In the case of problems… CONTINUE READING

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