摘要
将特征线法和有限差分法相结合,借助于斜线性插值,给出了求解对流占优扩散方程数值解的一种新的特征差分格式,并研究了算法的收敛性。该算法的优点是特别适用于求解变系数的对流占优扩散方程,能更有效地消除数值振荡现象。
A new kind of characteristic - difference scheme for convection - dominated diffusion equations is constructed by combining characteristic method with the finite - difference method and with the skew linear interpolation method, The convergence of the characteristic - difference scheme is studied. The advantage of this scheme is very adaptable to obtain the solution of the e- quations with variable coefficient and can eliminate the numerical oscillations more efficiently.
出处
《盐城工学院学报（自然科学版）》
CAS
2006年第2期56-61,共6页
Journal of Yancheng Institute of Technology:Natural Science Edition
关键词
对流占优扩散方程
特征线差分法
斜线性插值
收敛性
convection- diffusion equations
characteristic -difference scheme
skew linear interpolation
convergence
