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解二维扩散方程的DuFort-Frankel差分格式
Du Fort Frankel DIFFERENCE SCHEME FOR SOLVING THE TWO DIMENSIONAL DIFFUSION EQUATION
【摘要】 DuFort-Frankel差分格式是对Richardson格式进行修正得到的差分格式。本文将它从一维推广到二维,给出了二维DuFort-Frankel差分格式相容性所满足的条件,并严格论证了它的绝对稳定性
【Abstract】 The Du Fort Frankel difference scheme is modified by the Richardson difference scheme. This paper generalizes the two dimensional difference scheme from the one dimensional difference scheme. It not only gives the consistency condition of the two dimensional Du Fort Frankel difference scheme, but also proves the absolute stability of the difference scheme.
【关键词】 扩散方程;
条件相容性;
Schur定理;
酉矩阵;
绝对稳定性;
【Key words】 diffusion equation; conditional consistency; Schur theorem; unitary matrix; absolute stability;
【Key words】 diffusion equation; conditional consistency; Schur theorem; unitary matrix; absolute stability;
【基金】 国土资源部高校青年教师资助计划项目
- 【文献出处】 成都理工学院学报 ,JOURNAL OF CHENGDU UNIVERSITY OF TECHNOLOGY , 编辑部邮箱 ,2000年01期
- 【分类号】O175.26
- 【被引频次】5
- 【下载频次】449