Solving Fokker-Planck Equation By Two-Dimensional Differential Transform

被引：0

作者：

Cansu, Ummugulsum ^{[1
]}

Ozkan, Ozan ^{[2
]}

机构：

[1] Middle E Tech Univ, Fac Educ, Dept Secondary Sci & Math Educ, TR-06800 Ankara, Turkey

[2] Selcuk Univ, Fac Sci, Dept Math, TR-42031 Konya, Turkey

来源：

ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY | 2011年 / 1368卷

关键词：

Fokker-Planck equation; Kolmogorov equation; Differential transform method; Solutions in closed form;

D O I：

10.1063/1.3663463

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：4

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