Bhrawy, A. H.Ahmed, Engy A.Baleanu, D.Matematik2020-05-122020-05-122014Bhrawy, 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).1454-9069This 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 alpha and beta. Using the above technique, the problem is reduced to the solution of a system of ordinary differential equations in tithe. 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/closedAccessTime-Dependent Fokker-Plank EquationGeneralized Fokker-Plank EquationReal Newell-Whitehead EquationCollocation MethodImplicit Runge-Kutta MethodArticle1543223302-s2.0-84916932013WOS:000346219300002Q4Q4