Approximate Solutions of Nonlinear Fractional Kolmogorov-Petrovskii-Piskunov Equations Using an Enhanced Algorithm of the Generalized Two-Dimensional Differential Transform Method

被引：6
|
作者：
Song Li-Na [1 ]
Wang Wei-Guo [1 ]
机构：
[1] Dongbei Univ Finance & Econ, Ctr Econometr Anal & Forecasting, Sch Math & Quantitat Econ, Dalian 116025, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2012年 / 58卷 / 02期
基金：
中国国家自然科学基金;
关键词：
differential transform method; fractional differential equation; approximate solution; NUMERICAL-SOLUTIONS; SOLITARY WAVE;
D O I：
10.1088/0253-6102/58/2/02
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By constructing the iterative formula with a so-called convergence-control parameter, the generalized two-dimensional differential transform method is improved. With the enhanced technique, the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations are dealt analytically and approximate solutions are derived. The results show that the employed approach is a promising tool for solving many nonlinear fractional partial differential equations. The algorithm described in this work is expected to be employed to solve more problems in fractional calculus.
引用
收藏
页码：182 / 188
页数：7
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