A two-level high order compact finite difference implicit scheme is proposed to solve the one-dimensional unsteady convection diffusion reaction equation.The local truncation error of the scheme is O(τ2+τh2+h4),i.e.the scheme is the fourth order accuracy for space when τ=O(h2).Then,Fourier analysis method is used to prove the stability of the scheme.Finally,numerical experiments are conducted to verify the accuracy and the reliability of the present scheme.
YANG Xiaojia
,
TIAN Fang
. High order compact difference scheme for the one-dimensional unsteady convection diffusion reaction equation[J]. Journal of Hebei University(Natural Science Edition), 2017
, 37(1)
: 5
-12
.
DOI: 10.3969/j.issn.1000-1565.2017.01.002
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