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

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.

Авторы
Jleli M.1 , Kirane M. 2, 3, 4 , Samet B. 1
Издательство
John Wiley and Sons Ltd
Номер выпуска
18
Язык
Английский
Страницы
7356-7367
Статус
Опубликовано
Том
40
Год
2017
Организации
  • 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
Ключевые слова
Caputo-Hadamard fractional derivative; fractional model of pollution; Legendre polynomials; ln-shifted; numerical solution; system of lakes
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/9172/
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