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应用科学学报 ›› 1995, Vol. 13 ›› Issue (3): 319-326.

• 论文 • 上一篇    下一篇

非线性抛物方程第一初边值问题的差分边界元法

鲁统超, 羊丹平   

  1. 山东大学
  • 收稿日期:1993-06-21 修回日期:1993-11-12 出版日期:1995-09-30 发布日期:1995-09-30
  • 基金资助:
    国家教委跨世纪优秀人才计划基金资助课题

DIFFERENCE BOUNDARY ELEMENT METHOD FOR THE FIRST INITIAL BOUNDARY OF NONLINEAR PARABOLIC EQUATION

LU TONGCHAO, YANG DANPING   

  1. Shandong University
  • Received:1993-06-21 Revised:1993-11-12 Online:1995-09-30 Published:1995-09-30

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摘要： 该文讨论一类非线性抛物方程的初边值问题,提出了一种求解的数值方法——差分边界元方法,给出了完整的数值分析理论并得到了最优的先验误差估计。

关键词: 非线性抛物方程, 误差估计, 差分边界元

Abstract: In our paper,we establish the difference boundary element method for the first initial boundary problem of the nonlinear parabolic equation.We get not only the integrated theory of the numerieal analysis about our method, but also the optimal prior error estimates.

Key words: difference boundary element, prior error estimate, nonlinear parabolie equation