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一维抛物方程界面问题的紧致有限体积格式

THE COMPACT FINITE VOLUME SCHEME FOR INTERFACE PROBLEMS OF ONE-DIMENSIONAL PARABOLIC EQUATIONS
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摘要 本文主要讨论了带有界面的一维抛物方程的初边值问题.首先对原方程在控制单元内的积分项在空间上采用四阶紧致格式,然后在时间上采用二阶的差分格式,构造了问题的紧致有限体积格式.数值算例表明该格式具有较好的计算效果. In this paper,the initial boundary value problem of one-dimensional parabolic equation with interface is discussed.In order to obtain the compact finite volume scheme of the problem,the integral items of the original equation are approximated by fourth order compact scheme in space and the second order difference scheme is applied in time.Numerical example shows that the scheme is effective.
作者 于倩 杨青 Yu Qian;Yang Qing(School of Mathematics and Statistics,Shandong Normal University,250358,Jinan,China)
机构地区 山东师范大学数学与统计学院
出处 《山东师范大学学报（自然科学版）》 CAS 2019年第3期271-278,共8页 Journal of Shandong Normal University(Natural Science)
基金 山东省自然科学基金资助项目(ZR2017MA020)
关键词 抛物方程的初边值问题 间断系数 紧致有限体积格式 initial boundary value problem parabolic equation discontinuous coefficient the compact finite volume scheme
分类号 O241.82 [理学—计算数学]
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山东师范大学学报（自然科学版）
2019年 第3期

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