A Higher-Order Finite Difference Scheme for Singularly Perturbed Parabolic Problem
Keyword(s):
In this paper, we deal with a singularly perturbed parabolic convection-diffusion problem. Shishkin mesh and a hybrid third-order finite difference scheme are adopted for the spatial discretization. Uniform mesh and the backward Euler scheme are used for the temporal discretization. Furthermore, a preconditioning approach is also used to ensure uniform convergence. Numerical experiments show that the method is first-order accuracy in time and almost third-order accuracy in space.
2020 ◽
Vol 174
◽
pp. 218-232
2011 ◽
Vol 12
(3)
◽
pp. 150-159
2019 ◽
Vol 61
(1-2)
◽
pp. 73-86
◽
2010 ◽
Vol 234
(8)
◽
pp. 2501-2515
◽
2019 ◽
Vol 97
(4)
◽
pp. 875-905
◽
2017 ◽
Vol 34
(1)
◽
pp. 121-144
◽