期刊文献+

紧支撑小波基下对流方程数值解

On the numerical solution of convection equation based on compactly supported wavelets
下载PDF
导出
摘要 利用微分算子的紧支撑小波表示,讨论了对流方程初值问题的Daubechies小波解.给出了此问题的显式离散迭代格式.并作出了相应的数值结果和误差分析. In this paper, the numerical solution of convection equation based on compactly supported wavelets is investigated. We take advantage of the Daubechies’ wavelets. Simulation based on our results and analysis of error are given.
出处 《西南民族大学学报(自然科学版)》 CAS 2006年第3期492-496,共5页 Journal of Southwest Minzu University(Natural Science Edition)
关键词 对流方程 紧支撑小波 DAUBECHIES小波 显式离散格式 convection equation compactly supported wavelet Daubechies’ wavelet
  • 相关文献

参考文献5

  • 1李水根,吴纪桃编著..分形与小波[M].北京:科学出版社,2002:318.
  • 2陆金甫,关治编著..偏微分方程值解法[M].北京:清华大学出版社,1987:439.
  • 3[3]GLOWINSKI R,LAWTON W.Wavelet Solution of Linear Elliptic,Parabolic,and Hyperbolic Problems in One Space Dimension[M].Conp.Math.Appl.Sciences and Englineering,SIAM.Pub l,Philadelphia,PA,1990. 被引量:1
  • 4[4]BEYLKIM G.On the Representation of Operators in Bases of Compactly Supported Wavelets[J].SIAM.J.Numer.Anal.,1992,6:1716-1740. 被引量:1
  • 5高亮,徐伟,申建伟,唐亚宁.Boussinesq方程新的显式行波解[J].西南民族大学学报(自然科学版),2006,32(1):54-59. 被引量:2

二级参考文献14

  • 1李志斌,张善卿.非线性波方程准确孤立波解的符号计算[J].数学物理学报(A辑),1997,17(1):81-89. 被引量:114
  • 2ABLOWITZ M J,CLARKSON P A.Soliton,nonlinear evolution equations and inverse scattering[M].Cambridge Univ.Press,1991. 被引量:1
  • 3谷超豪.孤立子理论及其应用[M].杭州:浙江科技出版社,1990. 被引量:2
  • 4MATVEEV V B,SALLE M A.Daroux transformations and solitons[M].Berlin:Springer,1991. 被引量:1
  • 5HIROTA R.Exact solution of the Korteweg -de Vries equation for multiple collisions of solitons[J].Phys Rev lett,1971,27:1192-1194. 被引量:1
  • 6WANG M L,ZHOU Y B,LI Z B.Application of homogeneous balance method to exact solutions of nonlinear equations in mathematical physics.Phys Lett A,1996,213:67 -75. 被引量:1
  • 7SALAN M,KAYA D.An application of the ADM to seven-order Sawada-Kotara equations[J].Applied Mathematics and Computation,2004,157:93-101. 被引量:1
  • 8LI JIBIN,ZHANG LIJUN.Bifurcations of traveling wave solution in generalized Pochhammer -Chree equation[J].Chaos,Soitons and Fractals,2002,14:581-593. 被引量:1
  • 9HON Y C,FAN E G.Solitary wave and doubly periodic wave solutions for the Kersten-Krasil' shchik coupled KdV-mKdV system[J].Chaos,Solitons & Fractals.2004,19:1141-1146. 被引量:1
  • 10楼森岳.推广的Painlevé展开及KdV方程的非标准截断解[J].物理学报,1998,47(12):1937-1945. 被引量:74

共引文献1

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