Numerical solution of two dimensional time fractional-order biological population model

被引：17
|
作者：
Prakash, Amit [1 ]
Kumar, Manoj [2 ]
机构：
[1] Natl Inst Technol, Dept Math, Kurukshetra 136119, Haryana, India
[2] Natl Inst Technol, Dept Math, Kurukshetra 136119, Haryana, India
来源：
OPEN PHYSICS | 2016年 / 14卷 / 01期
关键词：
Biological population model; Mittag-leffler function; Caputo fractional derivative; Lagrange multiplier; parabolic equation; VARIATIONAL ITERATION METHOD; BURGERS EQUATIONS; APPROXIMATE; DIFFUSION;
D O I：
10.1515/phys-2016-0021
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, we provide an approximate solution of a parabolic fractional degenerate problem emerging in a spatial diffusion of biological population model using a fractional variational iteration method (FVIM). Four test illustrations are used to show the proficiency and accuracy of the projected scheme. Comparisons between exact solutions and numerical solutions are presented for different values of fractional order alpha.
引用
收藏
页码：177 / 186
页数：10
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