Unconditionally stable explicit difference schemes for the variable coefficients parabolic differential equation (IV)

被引:0
作者
Nakashima, M [1 ]
机构
[1] Kagoshima Univ, Kagoshima 8900065, Japan
来源
NUMERICAL METHODS AND APPLICATIONS | 2003年 / 2542卷
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we study an explicit difference scheme for solving one space dimensional parabolic differential equations. Some new algorithms for such a problem with variable coefficients and Dirichlet boundary conditions were presented in our earlier paper [2]. The schemes proposed there are stable for any space and time step-size. In this paper, we study the problem with Neumann boundary conditions where the constructed schemes are also stable for any space and time step-size. Numerical test data supporting our algorithms are presented at the end.
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页码:536 / 544
页数:9
相关论文
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[2]  
NAKASHIMA M, 1999, 3 INT C CIRC SYST CO, P231
[3]  
NAKASHIMA M, 2001, P INT C PAR DISTR PR, P561
[4]  
Richtmyer R. D., 1967, Difference Methods for Initial-Value Problems
[5]  
Schiesser W. E., 1991, NUMERICAL METHOD LIN