Premium
A space‐time spectral method for one‐dimensional time fractional convection diffusion equations
Author(s) -
Yu Zhe,
Wu Boying,
Sun Jiebao
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4188
Subject(s) - mathematics , bounded function , fractional calculus , spectral method , a priori and a posteriori , galerkin method , convergence (economics) , space time , time derivative , convection–diffusion equation , space (punctuation) , diffusion , rate of convergence , mathematical analysis , derivative (finance) , finite element method , computer science , physics , computer network , philosophy , channel (broadcasting) , epistemology , chemical engineering , financial economics , engineering , economics , thermodynamics , economic growth , operating system
In this paper, we propose a space‐time spectral method for solving a class of time fractional convection diffusion equations. Because both fractional derivative and spectral method have global characteristics in bounded domains, we propose a space‐time spectral‐Galerkin method. The convergence result of the method is proved by providing a priori error estimate. Numerical results further confirm the expected convergence rate and illustrate the versatility of our method. Copyright © 2016 John Wiley & Sons, Ltd.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom