Wavelet Approximate Inertial Manifold and Numerical Solution of Burgers' Equation
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摘要: 研究Burgers方程小波基下小波近似惯性流形的存在性,并作低阶多分辨分析下的数值分析,数值分析表明小波近似惯性流形更能反映方程的局部行为.
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关键词:
- 小波 /
- 小波近似惯性流形 /
- 小波Galerkin解 /
- 无穷维动力系统
Abstract: The existence of approximate inertial manifold using wavelet to Burgers. equation,and numerical solution under multiresolution analysis with the low modes were studied. It is shown that the Burgers. equation has a good localization property of the numerical solution distinguishably. -
[1] Temam R. Infinite Dimensional Dynamical System in Mechanics and Physics[M]. Belin:Springer-Verlag,1988. [2] TIAN Li-xin. Wavelet approximate inertial manifold in nonlinear solitary wave equation[J]. J Math Phy,2000,41(8):5771-5792. [3] Gomes Soina M,Cortina Elsa. Convergence estimate for the wavelet Galerkin method[J]. SIAM J Num Anal,1996,33(1):149-161. [4] Perrier V,Basdevant C. Periodical wavelet analysis[J]. Rech Aerosp,1989,3(1):54-67. [5] Bacry E,Mallat S,Colau G Papaue. A wavelet based space-time adaptive numerical method for partial differential equations[J]. Math Mod Numer Anal,1992,26(4):793-834. [6] 许伯强,田立新. 周期小波基下Burgers方程的数值解[J]. 江苏理工大学学报,2001,22(3):1-6. [7] 田立新,储志俊,刘曾荣,等. 低模态下弱阻尼KdV方程约化形式的数值分析[J]. 应用数学和力学,2000,21(10):1013-1020.
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