A high-accuracy finite difference scheme for solving reaction-convection-diffusion problemswith a small diffusivity

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題名:	A high-accuracy finite difference scheme for solving reaction-convection-diffusion problemswith a small diffusivity
作者:	楊肅煜;Hsieh, Po-Wen;Yang, Suh-Yuh;You, Cheng-Shu
貢獻者:	理學院數學系
日期:	2014-01-01
上傳時間:	2026-04-23 16:09:07 (UTC+8)
出版者:	Cambridge University Press;Cambridge, UK: Cambridge University Press
摘要:	摘要： This paper is devoted to a new high-accuracy finite difference scheme for solving reaction-convection-diffusion problems with a small diffusivity ε. With a novel treatment for the reaction term, we first derive a difference scheme of accuracy O(εh2+εh2+h3) for the 1-D case. Using the alternating direction technique, we then extend the scheme to the 2-D case on a nine-point stencil. We apply the high-accuracy finite difference scheme to solve the 2-D steady incompressible Navier-Stokes equations in the stream function-vorticity formulation. Numerical examples are given to illustrate the effectiveness of the proposed difference scheme. Comparisons made with some high-order compact difference schemes show that the newly proposed scheme can achieve good accuracy with a better stability. 其他題名： Adv Appl Math Mech 出版者： Cambridge, UK: Cambridge University Press 出版日期： 2014-10 出處： Advances in applied mathematics and mechanics, 2014-10, Vol.6 (5), p.637-662 版權： Copyright © Global-Science Press 2014 識別號： ISSN: 2070-0733 識別號： EISSN: 2075-1354 識別號： DOI: 10.4208/aamm.2014.5.s4
顯示於類別:	[數學系] 期刊論文

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