Semi-analytical method for solving Fokker-Planck ’s equations

Publication date: Available online 8 September 2017 Source:Journal of the Association of Arab Universities for Basic and Applied Sciences Author(s): Majeed Ahmed AL-Jawary, Ghassan Hasan Radhi, Jure Ravnik In this paper, the linear and nonlinear Fokker-Planck equations (FPE) are solved by a semi-analytical iterative technique. This technique was proposed by Temimi and Ansari (TAM) in 2011. It is used to obtain the exact solutions for the 1D, 2D and 3D FPE. We solve several linear and nonlinear examples to show that the method is efficient and applicable. The results demonstrate that the presented method is very effective and reliable and does not require any restrictive assumptions for nonlinear terms. A symbolic manipulator Mathematica®10 was used to evaluate terms in the iterative process.
Source: Journal of the Association of Arab Universities for Basic and Applied Sciences - Category: Science Source Type: research