Open AccessNumerical approach to the time-fractional reaction-diffusion equation
Author(s) -
Yue Qiu
Publication year - 2019
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/tsci1904245q
Subject(s) - toeplitz matrix , reaction–diffusion system , diffusion , diffusion equation , numerical analysis , coefficient matrix , mathematics , boundary (topology) , boundary value problem , mathematical analysis , physics , thermodynamics , eigenvalues and eigenvectors , economy , quantum mechanics , pure mathematics , economics , service (business)
The numerical solution to the time-fractional reaction-diffusion equation with boundary conditions is considered in this paper. By difference, the problem is transformed to solve a linear system whose coefficient matrices are Toeplitz-like, and the solution can be constructed directly. Numerical results are reported to show the feasibility of the proposed method.