期刊文献+

非标准有限差分法求解Kuramoto-Sivashinsky方程

A Nonstandard Finite Difference Method for Solving Kuramoto-Sivashinsky Equation
下载PDF
导出
摘要 给出一种非线性四阶Kuramoto-Sivashinsky(KS)方程的非标准有限差分格式,证明该格式的稳定性,并针对具体算例进行数值试验,比较了数值解与真实解,验证该方法的有效性。 A nonstandard finite difference scheme for nonlinear fourth-order Kuramoto-Sivashinsky(KS)equation is presented,and the stability of the nonstandard diference scheme of KS equation is proved.Numerical experiments are carried out to compare the absolute errors between the numerical solution and the real solution,which verifies the effectiveness of the method.
作者 张继红 李永菲 栾舒含 王洁欣 ZHANG Jihong;LI Yongfei;LUAN Shuhan;WANG Jiexin(School of Science,Dalian Jiaotong University,Dalian 116028,China)
出处 《大连交通大学学报》 CAS 2023年第3期109-112,共4页 Journal of Dalian Jiaotong University
基金 国家自然科学基金青年科学基金资助项目(11801056) 辽宁省教育厅科学研究计划资助项目(JDL2019034)。
关键词 KURAMOTO-SIVASHINSKY方程 四阶非线性偏微分方程 非标准有限差分法 稳定性 Kuramoto-Sivashinsky equation fourth order nonlinear partial differential equation nonstandard finite difference method stability
  • 相关文献

参考文献2

二级参考文献18

  • 1HYMAN J, NICOLAENKO B. The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems[J]. Physica D, Nonlinear Phenomena, 1986,18(1 ) : 113-126.
  • 2HYMAN J, NICOLAENKO B, ZALESKI S. Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces[J]. Physica D: Nonlinear Phenomena, 1986,23 ( 1 ) : 265-292.
  • 3KEVREKIDIS I, NICOLAENKO B, SCOVEL J. Back in the saddle again: a computer assisted study of the Kuramoto- Sivashinsky equation[J]. SIAM Journal on Applied Mathematics,1990,50(3) :760-790.
  • 4JOLLY M, KEVREKIDIS I, TITI E. Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: analysis and computations[J]. Physica D: Nonlinear Phenomena,1990,44(1) :38-60.
  • 5SMYRLIS Y,PAPAGEORGIOU DT. Predicting chaos for infinite dimensional dynamical systems: The Kuramoto-Sivashinsky equation, a case study[J]. Proceedings of the National Academy of Sciences, 1991,88(24) : 11129-11132.
  • 6PAPAGEORGIOU D,SMYRLIS Y. Computer assisted study of strange attractors of the Kuramoto-Sivashinsky equation[J]. Zeitschrift fur angewandte Mathematik und Mechanik, 1996,76 : 57-60.
  • 7CUETO FELGUEROSO L, PERAIRE J. A time-adaptive finite volume method for the Cahn-Hilliard and Kuramoto- Sivashinsky equations[J]. Journal of Computational Physics,2008,227(24) :9985-10017.
  • 8PAPAGEORGIOU D T, SMYRLIS Y S. The route to chaos for the Kuramoto-Sivashinsky equation[J]. Theoretical and Computational Fluid Dynamics, 1991,3 ( 1 ) : 15-42.
  • 9LOPEZ-MARCOS M. Numerical analysis of pseudospectral methods for the Kuramoto-Sivashinsky equation[J]. IMA Journal of Numerical Analysis,1994,14(2) :233-242.
  • 10KASSAM A,TREFETHEN L N. Fourth-order time-stepping for stiff PDEs[J]. SIAM Journal on Scientific Computing, 2005,26(4) : 1214-1233.

共引文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部