Numerical solution of a simple Fokker-Planck equation
Applied Numerical Mathematics
Applied Mathematics and Computation
Modified decomposition solution of linear and nonlinear boundary-value problems
Nonlinear Analysis: Theory, Methods & Applications
Numerical solution of two dimensional Fokker-Planck equations
Applied Mathematics and Computation
A reliable modification of Adomian decomposition method
Applied Mathematics and Computation
A new algorithm for calculating Adomian polynomials for nonlinear operators
Applied Mathematics and Computation
Numerical Solution of an Ionic Fokker--Planck Equation with Electronic Temperature
SIAM Journal on Numerical Analysis
Mathematics and Computers in Simulation
An analytic study on the third-order dispersive partial differential equations
Applied Mathematics and Computation
Mathematics and Computers in Simulation
Adomian decomposition method for solution of differential-algebraic equations
Journal of Computational and Applied Mathematics
Convergence of Adomian's method
Mathematical and Computer Modelling: An International Journal
Numerical study of fisher's equation by Adomian's method
Mathematical and Computer Modelling: An International Journal
Numerical treatment of stochastic models used in statistical systems and financial markets
Computers & Mathematics with Applications
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In this work we will discuss the solution of an initial value problem of parabolic type. The main objective is to propose an alternative method of solution, one not based on finite difference or finite element or spectral methods. The aim of the present paper is to investigate the application of the Adomian decomposition method for solving the Fokker-Planck equation and some similar equations. This method can successfully be applied to a large class of problems. The Adomian decomposition method needs less work in comparison with the traditional methods. This method decreases considerable volume of calculations. The decomposition procedure of Adomian will be obtained easily without linearizing the problem by implementing the decomposition method rather than the standard methods for the exact solutions. In this approach the solution is found in the form of a convergent series with easily computed components. In this work we are concerned with the application of the decomposition method for the linear and nonlinear Fokker-Planck equation. To give overview of methodology, we have presented several examples in one and two dimensional cases.