Open AccessThe reproducing kernel for the reaction-diffusion model with a time variable fractional order
Author(s) -
Wei Zhang,
Yulan Wang,
Mei-Chun Wang
Publication year - 2020
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci2004553z
Subject(s) - kernel (algebra) , variable (mathematics) , frame (networking) , diffusion , mathematics , fractional calculus , frame work , computer science , order (exchange) , calculus (dental) , reaction–diffusion system , process (computing) , mathematical analysis , pure mathematics , theoretical physics , physics , thermodynamics , medicine , telecommunications , dentistry , finance , economics , operating system
The variable-order fractional calculus has become a useful mathematical frame-work to describe a complex reaction-diffusion process. It is very hard to solve the problem, and there is almost no analytical method available in open literature. In this article, the reproducing kernel method is proposed for this purpose, and some examples show that the method is of high precision.