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ON RESIDUAL-BASED A POSTERIORI ERROR ESTIMATORS FOR LOWEST-ORDER RAVIART-THOMAS ELEMENT APPROXIMATION TO CONVECTION-DIFFUSION-REACTION EQUATIONS
  • ISSN号：0254-9409
  • 期刊名称：《计算数学：英文版》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]西华大学理学院,成都610039, [2]四川大学数学学院,成都610064
  • 相关基金：国家自然科学基金（11171239）;中国科学院山地灾害与地表过程重点实验室开放基金和西华大学重点基金项目（Z1513324）.
作者： Shaohong Du[1,2], Xiaoping Xie[3]
关键词： KDV方程, 守恒差分格式, 初边值问题, Rosenau-KdV equation, C-N difference scheme, Conservation, Con-vergence, Stability.
中文摘要：

1 引言 本文考虑如下一类Rosenau—KdV方程的初边值问题。

英文摘要：

A two-level nonlinear Crank-Nicolson difference scheme for initial- boundary value problems of Rosenau-KdV equation is proposed. Two conservative properties of the problem are simulated well by the scheme. The prior estimate, existence and uniqueness of the solution are obtained, and the second-order con- vergence and unconditional stability of the difference scheme are also analyzed by using the energy method. Numerical experiments to verify the theoretical results are presented.

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期刊信息
  • 《计算数学：英文版》
  • 主管单位:
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：
  • 地址：北京2719信箱
  • 邮编：100080
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-9409
  • 国内统一刊号：ISSN：11-2126/O1
  • 邮发代号:
  • 获奖情况:
  • 中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库
  • 被引量:193