Analytical Approximate Solution of Space-Time Fractional Diffusion Equation with a Moving Boundary Condition

被引：8
|
作者：
Das, Subir [1 ]
Kumar, Rajnesh [1 ]
Gupta, Praveen Kumar [1 ]
机构：
[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2011年 / 66卷 / 05期
关键词：
Fractional Diffusion Equation; Moving Boundary Problem; Fractional Solute Release; Error Function; Homotopy Perturbation Method; HOMOTOPY PERTURBATION METHOD; VARIATIONAL ITERATION METHOD; DRUG-RELEASE DEVICES; DIFFERENTIAL-EQUATIONS; NONLINEAR PROBLEMS; DECOMPOSITION METHOD; SOLIDIFICATION; OSCILLATORS; BIFURCATION; DERIVATIVES;
D O I：
10.1515/zna-2011-0503
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The homotopy perturbation method is used to find an approximate analytic solution of the problem involving a space-time fractional diffusion equation with a moving boundary. This mathematical technique is used to solve the problem which performs extremely well in terms of efficiency and simplicity. Numerical solutions of the problem reveal that only a few iterations are needed to obtain accurate approximate analytical solutions. The results obtained are presented graphically.
引用
收藏
页码：281 / 288
页数：8
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