Solving Poisson Equation by Genetic Algorithms
This addresses numerical solution of partial differential equations for computational physics or engineering, but appears incremental as it applies existing genetic methods to a known problem.
The paper tackles solving Poisson equations using genetic algorithms and grammatical evolution, achieving exact recovery of analytical solutions in most cases and satisfactory accuracy otherwise.
This paper deals with a method for solving Poisson Equation (PE) based on genetic algorithms and grammatical evolution. The method forms generations of solutions expressed in an analytical form. Several examples of PE are tested and in most cases the exact solution is recovered. But, when the solution cannot be expressed in an analytical form, our method produces a satisfactory solution with a good level of accuracy