NUMERICAL SOLUTIONS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS VIA ACCELERATED GENETIC ALGORITHM
Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.5, No. 8)Publication Date: 2016-08-30
Authors : Eman A. Hussain; Yaseen M. Alrajhi;
Page : 68-81
Keywords : SPDS; Accelerated Genetic Algorithm method; Numerical solution of stochastic partial differential equations.;
Abstract
This paper introduced a new accelerated Genetic Algorithms (GAs) method to find a numerical solutions of stochastic Partial differential equations driven by space-time white nose wiener process . The numerical scheme is based on a representation of the solution of the equation involving a stochastic part arising from the noise and a deterministic partial differential equation . By using Doss-Sussmann transformation that enables us to work with a partial differential equation instead of the stochastic partial differential equation. Then compare these solutions obtained by our method with saul'yev method and deterministic solution.
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Last modified: 2016-08-08 19:24:10