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非线性Kundu方程的弱守恒差分格式
  • ISSN号：0254-7791
  • 期刊名称：《计算数学》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]集美大学理学院,福建厦门361021, [2]厦门大学数学科学学院,福建厦门361005
  • 相关基金：国家自然科学基金重点项目（10531080）和973高性能科学计算研究项目（2005CB321703）资助项目,福建省自然省科学基金赞助项目（Z0511043）和福建省教育厅科研项目（JA004239）资助. 感谢张法勇教授提出了许多宝贵建议,谨致谢忱.
作者： 梁宗旗[1], 许传炬[2]
关键词： 弱守恒差分格式, 先验估计, 收敛性, 稳定性, 数值计算, Weak conservative difference scheme, Prior estimation, Convergence, Stability, Numerical computation
中文摘要：

本文考察了一类非线性Kundu方程的周期初值问题，提出了一种弱守恒的差分格式，对其差分解作了先验估计，证明了格式的收敛性与稳定性，最后，通过数值计算检验了格式的可信性．

英文摘要：

In this paper, a weak conservative difference scheme is proposed for nonlinear Kundu equation with periodic initial value problem~ The prior estimation for the difference solution is made. The convergence and stability of the scheme are proved. Finally the credibility of the scheme is examined by numerical computation.

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若干非线性问题的数值解法
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期刊信息
  • 《计算数学》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：周爱辉
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：010-62555115
  • 国际标准刊号：ISSN：0254-7791
  • 国内统一刊号：ISSN：11-2125/O1
  • 邮发代号:2-521
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4140