HIGH ORDER DIFFERENCE METHODS FOR THE BIHARMONIC EQUATION

数学物理学报(英文版) ›› 1986, Vol. 6 ›› Issue (2): 223-230.

HIGH ORDER DIFFERENCE METHODS FOR THE BIHARMONIC EQUATION

吕涛¹, 周国富¹, 林群²

1. Chengdu Branch, Academia Sinica, Chengdu, China;
2. Institute of System Science, Academia Sinica, Beijing, China

收稿日期:1984-10-24 出版日期:1986-06-25 发布日期:1986-06-25

HIGH ORDER DIFFERENCE METHODS FOR THE BIHARMONIC EQUATION

Lu Tao¹, Zhou Guofu¹, Lin Qun²

1. Chengdu Branch, Academia Sinica, Chengdu, China;
2. Institute of System Science, Academia Sinica, Beijing, China

Received:1984-10-24 Online:1986-06-25 Published:1986-06-25

摘要/Abstract

摘要： In this paper, instead of the usual 13-point formula, a new 21-point formula for the numerical solution of the first biharmonic Dirichlet problem is presented. According to the two kinds of the fictitious mesh point interpolation, it is shown that the error is O(h^3.5) and O(h⁴) respectively in a norm which is stronger than the maximum norm for the error function.

吕涛, 周国富, 林群. HIGH ORDER DIFFERENCE METHODS FOR THE BIHARMONIC EQUATION[J]. 数学物理学报(英文版), 1986, 6(2): 223-230.

Lu Tao, Zhou Guofu, Lin Qun. HIGH ORDER DIFFERENCE METHODS FOR THE BIHARMONIC EQUATION[J]. Acta mathematica scientia,Series B, 1986, 6(2): 223-230.

HIGH ORDER DIFFERENCE METHODS FOR THE BIHARMONIC EQUATION

HIGH ORDER DIFFERENCE METHODS FOR THE BIHARMONIC EQUATION

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