High order compact difference scheme for the one-dimensional unsteady convection diffusion reaction equation

doi:10.3969/j.issn.1000-1565.2017.01.002

Abstract

Abstract: 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.

Key words: convection diffusion reaction equation, unsteady, compact difference scheme, implicit scheme, high accuracy

CLC Number:

O241.82

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.

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