Analytical Approach to Space- and Time-Fractional Burgers Equations

被引：38

作者：

Yildirim, Ahmet ^{[1
]}

Mohyud-Din, Syed Tauseef ^{[2
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Bornova, Turkey

[2] HITEC Univ, Taxila Cantt, Pakistan

来源：

CHINESE PHYSICS LETTERS | 2010年 / 27卷 / 09期

关键词：

HOMOTOPY ANALYSIS METHOD; APPROXIMATE SOLUTION TECHNIQUE; VISCOUS-FLOW PROBLEMS; SMALL PARAMETERS; FLUID; DIFFUSION; MODELS; FREQUENCY;

D O I：

10.1088/0256-307X/27/9/090501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A scheme is developed to study numerical solution of the space- and time-fractional Burgers equations under initial conditions by the homotopy analysis method. The fractional derivatives are considered in the Caputo sense. The solutions are given in the form of series with easily computable terms. Numerical solutions are calculated for the fractional Burgers equation to show the nature of solution as the fractional derivative parameter is changed.

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页数：4

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