A new efficient method for solving the nonlinear Fokker–Planck equation
作者： H. Aminikhah , A. Jamalian
DOI: 10.1016/J.SCIENT.2012.06.012
关键词: Mathematics 、 Split-step method 、 Laplace transform applied to differential equations 、 Equation solving 、 Integro-differential equation 、 Fokker–Planck equation 、 Mathematical analysis 、 Homotopy analysis method 、 Partial differential equation 、 Laplace's equation
摘要: Abstract In this paper, we propose a new technique for solving the nonlinear Fokker–Planck equation. This algorithm is based on Laplace transform and homotopy perturbation methods. The applied to two mathematical models of problem. We show that present approach relatively easy, efficient highly accurate.
core.ac.uk
elsevier.com
researchgate.net 
sci-hub.se 参考文章(35)
Ji-Huan He, New interpretation of homotopy perturbation method International Journal of Modern Physics B. ,vol. 20, ,(2006)
Ji-Huan He, Recent development of the homotopy perturbation method Topological Methods in Nonlinear Analysis. ,vol. 31, pp. 205- 209 ,(2008)
J. Biazar, P. Gholamin, K. Hosseini, Variational iteration method for solving Fokker–Planck equation Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 347, pp. 1137- 1147 ,(2010) , 10.1016/J.JFRANKLIN.2010.04.007
Behrouz Raftari, Ahmet Yildirim, The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets Computers & Mathematics With Applications. ,vol. 59, pp. 3328- 3337 ,(2010) , 10.1016/J.CAMWA.2010.03.018
Ji-Huan He, The homotopy perturbation method for nonlinear oscillators with discontinuities Applied Mathematics and Computation. ,vol. 151, pp. 287- 292 ,(2004) , 10.1016/S0096-3003(03)00341-2
Qi Wang, Homotopy perturbation method for fractional KdV-Burgers equation Chaos Solitons & Fractals. ,vol. 35, pp. 843- 850 ,(2008) , 10.1016/J.CHAOS.2006.05.074
Ji-Huan He, HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS Physics Letters A. ,vol. 350, pp. 87- 88 ,(2006) , 10.1016/J.PHYSLETA.2005.10.005
Ji-Huan He, Application of homotopy perturbation method to nonlinear wave equations Chaos, Solitons & Fractals. ,vol. 26, pp. 695- 700 ,(2005) , 10.1016/J.CHAOS.2005.03.006
JI-HUAN HE, Addendum:. New Interpretation of Homotopy Perturbation Method International Journal of Modern Physics B. ,vol. 20, pp. 2561- 2568 ,(2006) , 10.1142/S0217979206034819
J. Biazar, H. Ghazvini, Exact solutions for non-linear Schrödinger equations by He's homotopy perturbation method Physics Letters A. ,vol. 366, pp. 79- 84 ,(2007) , 10.1016/J.PHYSLETA.2007.01.060