A Semi-Analytical Method of Solving the Fokker-Planck-Equation for High-Dimensional Nonlinear Mechanical Systems

Iterative methods for solving non linear Fokker-Planck equation

Numerical method for the nonlinear Fokker-Planck equation

A practical method based on distributed approximating functionals ~DAFs! is proposed for numerically solving a general class of nonlinear time-dependent Fokker-Planck equations. The method relies on a numerical scheme that couples the usual path-integral concept to the DAF idea. The high accuracy and reliability of the method are illustrated by applying it to an exactly solvable nonlinear Fokke...

N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients.

An N-dimensional nonlinear Fokker-Planck equation is investigated here by considering the time dependence of the coefficients, where drift-controlled and source terms are present. We exhibit the exact solution based on the generalized Gaussian function related to the Tsallis statistics. Furthermore, we show that a rich class of diffusive processes, including normal and anomalous ones, can be ob...

iterative methods for solving non linear fokker-planck equation

An assessment of a semi analytical AG method for solving two-dimension nonlinear viscous flow

In this investigation, attempts have been made to solve two-dimension nonlinear viscous flow between slowly expanding or contracting walls with weak permeability by utilizing a semi analytical Akbari Ganji's Method (AGM). As regard to previous papers, solving of nonlinear equations is difficult and the results are not accurate. This new approach is emerged after comparing the achieved solutions...