Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《JOURNAL OF HEBEI UNIVERSITY(NATURAL SCIENCE)》 1996-01
Add to Favorite Get Latest Update

Characteristic Difference Method for One Kind of Nonlinear Convection-Diffusion Problem

Zhang Xiuyan(Department of Mathematics, Hebei University, Baoding 071002)  
In this paper, we discuss a kind of one dimensional nonlinear convection-diffution problem:u(0,t) = u(1,t) =0, t∈[0,T]; u = (x,0) = u0(x), x∈(0,1) We establish the Characteristic difference methods based on linear insert, quadratic insert and give the optimal order error estimates of L2 norm. The results of Douglas, You tongshun are improved.
【CateGory Index】: O241.82
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 1 Hits
1 You Tong-shun;Sun Che Nankai University;THE CHARACTERISTIC DIFFERENCE METHODS FOR SOME NONLINEAR CONVECTION-DIFFUSION PROBLEM[J];Mathematica Numerica Sinica;1991-02
【Co-citations】
Chinese Journal Full-text Database 6 Hits
1 Zhang Xiuyan (Department of Mathematics, Hebei University, Baoding 071002);Characteristic Difference Methods for One Kind of Two Dimensional Non linear Convection—Diffusion Problem[J];JOURNAL OF HEBEI UNIVERSITY(NATURAL SCIENCE EDITION);1998-03
2 REN Zong-xiu,YANG Ming-bo (College of Mathematics and Information Science, Hennan Normal University, Xinxiang 453007,China);The characteristic pseudospectral methods for convection diffusion problem[J];Journal of Henan Normal University(Natural Science);2004-01
3 You Tong-shun Nankai University;THE CHARACTERISTIC DIFFERENCE METHOD FOR NONLINEAR CONVECTION-DIFFUSION PROBLEMS IN TWO SPACE VARIABLES[J];Mathematica Numerica Sinica;1993-04
4 WANG Gui xia 1,XING Fei 2 (1.Department of Mathematics,NeiMongol Normal University,Hohhot 010022,PRC; 2.Department of Mathematics,NeiMongol University,Hohhot 010020,PRC);A Characteristic Difference Method for Some Three-Dimensional Nonlinear Convection-Diffusion Problems[J];Acta Scientiarum Naturalium Universitatis Neimongol;2002-03
5 WANG Guixia1,WANG Mei2(1.Department of Mathematics,NeiMongol Normal University,Hohhot 010022,PRC;2.Department of Mathematics,NeiMongol University,Hohhot 010021,PRC);A Characteristic-difference Method for Some Three-dimensional Nonlinear Convection-diffusion Problems[J];Acta Scientiarum Naturalium Universitatis Neimongol;2003-01
6 SONG Li-ye (Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China);Characteristics Finite Difference Method and Numerical Simulation Based on Quadratic Interpolation for the Unsaturated Soil Water Flow Problem[J];Mathematica Applicata;2006-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved