A numerical approach based on ln-shifted Legendre polynomials for solving a fractional model of pollution

被引：8
|
作者：
Jleli, M. [1 ]
Kirane, M. [2 ,3 ,4 ]
Samet, B. [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[2] Univ La Rochelle, LaSIE, Fac Sci & Technol, Ave M Crepeau, F-17042 La Rochelle, France
[3] RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, Russia
[4] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Jeddah 21589, Saudi Arabia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 18期
关键词：
Caputo-Hadamard fractional derivative; fractional model of pollution; Legendre polynomials; ln-shifted; numerical solution; system of lakes; VARIATIONAL ITERATION METHOD; DIFFERENTIAL-EQUATIONS; SYSTEM;
D O I：
10.1002/mma.4534
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The model of pollution for a system of 3 lakes interconnected by channels is extended using Caputo-Hadamard fractional derivatives of different orders alpha(i) is an element of (0, 1), i = 1, 2, 3. A numerical approach based on ln-shifted Legendre polynomials is proposed to solve the considered fractional model. No discretization is needed in our approach. Some numerical experiments are provided to illustrate the presented method.
引用
收藏
页码：7356 / 7367
页数：12
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