Bhrawy, A. H.Ahmed, Engy A.Baleanu, Dumitru2020-05-122020-05-122014Bhrawy, A.H.; Ahmed, E.A.; Baleanu, D.,"An Efficient Collocation Technique for Solving Generalized Fokker-Planck Type Equations With Variable Coefficients", Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science, Vol. 14, No. 4, pp. 322-330, (2014).14549069http://hdl.handle.net/20.500.12416/3719This paper proposes an efficient numerical integration process for the generalized Fokker-Planck equation with variable coefficients. For spatial discretization the Jacobi-Gauss-Lobatto collocation (J-GL-C) method is implemented in which the Jacobi-Gauss-Lobatto points are used as collocation nodes for spatial derivatives. This approach has the advantage of obtaining the solution in terms of the Jacobi parameters α and β . Using the above technique, the problem is reduced to the solution of a system of ordinary differential equations in time. This system can be also solved by standard numerical techniques. Our results demonstrate that the proposed method is a powerful algorithm for solving nonlinear partial differential equations.eninfo:eu-repo/semantics/closedAccessGeneralized Fokker-Plank EquationCollocation MethodReal Newell-Whitehead EquationImplicit Runge-Kutta MethodTime-Dependent Fokker-Plank EquationArticle144322330