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Solving Fokker-Planck Equation By Two-Dimensional Differential Transform
Date
2011-07-29
Author
Cansu Kurt, Ümmügülsüm
Ozkan, Ozan
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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In this paper, we implement a reliable algorithm to obtain exact solutions for Fokker-Planck equation and some similar equations. The approach rests mainly on two dimensional differential transform method which is one of the approximate methods. The method can easily be applied to many linear and nonlinear problems and is capable of reducing the size of computational work. Exact solutions are obtained easily without linearizing the problem. Some illustrative examples are given to demonstrate the effectiveness of the presented method
Subject Keywords
Fokker-Planck equation
,
Kolmogorov equation
,
Differential transform method
,
Solutions in closed form
URI
https://hdl.handle.net/11511/51508
DOI
https://doi.org/10.1063/1.3663463
Collections
Department of Mathematics and Science Education, Conference / Seminar