High order locally one-dimensional method for parabolic problems

Authors:
Samir Karaa
Affiliations:
Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Sultanate of Oman
Venue:
CIS'04 Proceedings of the First international conference on Computational and Information Science
Year:
2004

Citing 2
Cited 0

Finite difference schemes and partial differential equations

Finite difference schemes and partial differential equations
High order ADI method for solving unsteady convection-diffusion problems

Journal of Computational Physics

Quantified Score

Hi-index	0.00

Visualization

Abstract

We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time. It is unconditionally stable and provides a computationally efficient implicit scheme. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.