| HIGH ACCURACY FINITE VOLUME ELEMENT METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS |
| |
| 作者姓名： | 王同科 |
| |
| 作者单位： | School of |
| |
| 基金项目： | heprojectissupportedbyNNSFofChina (No .1 9972 0 39) . |
| |
| 摘 要： | 1 ＩｎｔｒｏｄｕｃｔｉｏｎＦｉｎｉｔｅｖｏｌｕｍｅｅｌｅｍｅｎｔｍｅｔｈｏｄｏｒＦＶＥＭｕｓｅｓａｖｏｌｕｍｅｉｎｔｅｇｒａｌｆｏｒｍｕｌａｔｉｏｎｏｆｔｈｅｄｉｆ ｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｗｉｔｈａｆｉｎｉｔｅｐａｒｔｉｔｉｏｎｉｎｇｓｅｔｏｆｖｏｌｕｍｅｔｏｄｉｓｃｒｅｔｉｚｅｔｈｅｅｑｕａｔｉｏｎ ,ｔｈｅｎｒｅ ｓｔｒｉｃｔｓｔｈｅａｄｍｉｓｓｉｂｌｅｆｕｎｃｔｉｏｎｓｔｏａｌｉｎｅａｒｆｉｎｉｔｅｅｌｅｍｅｎｔｓｐａｃｅｔｏｄｉｓｃｒｅｔｉｚｅｔｈｅｓｏｌｕｔｉｏｎ (1 -4 ] ) .…
|
HIGH ACCURACY FINITE VOLUME ELEMENT METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS |
| |
| Wang Tongke School of Mathematics and System Science,Shandong Univerisity,Jinan ,PRC/School of Mathematics and information Science,Henan Normal University,Xinxiang ,PRC..HIGH ACCURACY FINITE VOLUME ELEMENT METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities English Series,2002,11(2):213-225. |
| |
| Authors: | Wang Tongke School of Mathematics and System Science Shandong Univerisity Jinan PRC/School of Mathematics and information Science Henan Normal University Xinxiang PRC |
| |
| Institution: | School of Mathematics and System Science, Shandong Univerisity, Jinan 250100, PRC/School of Mathematics and information Science ,Henan Normal University, Xinxiang 453002, PRC |
| |
| Abstract: | In this paper, a high accuracy finite volume element method is presented for two-point boundary value problem of second order ordinary differential equation, which differs from the high order generalized difference methods. It is proved that the method has optimal order error estimate O(h3) in H1 norm. Finally, two examples show that the method is effective. |
| |
| Keywords: | second order ordinary differential equation two-point boundary value problem high accuracy finite volume element method error estimate |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
