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ANALYSIS OF CHEBYSHEV PSEUDOSPECTRAL METHOD FOR MULTI-DIMENSIONAL GENERALIZED SRLW EQUATIONS
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作者 尚亚东 郭柏灵 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第10期1168-1183,共16页
The Chebyshev pseudospectral approximation of the homogeneous initial boundary value problem for a class of multi-dimensional generalized symmetric regularized long wave (SRLW) equations is considered. The fully discr... The Chebyshev pseudospectral approximation of the homogeneous initial boundary value problem for a class of multi-dimensional generalized symmetric regularized long wave (SRLW) equations is considered. The fully discrete Chebyshev pseudospectral scheme is constructed. The convergence of the approximation solution and the optimum error of approximation solution are obtained. 展开更多
关键词 multi-dimensional generalized SRLW equation initial and boundary value problem Chebyshev pseudospectral method error estimate
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THE SINGLE-POINT QUENCHING OF NONLINEAR DEGENERATE FUNCTIONAL REACTION-DIFFUSION EQUATION
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作者 Ma Zhongtai (School of Math., Shandong Institute of Business & Technology, Yantai 264005, Shandong) 《Annals of Differential Equations》 2008年第4期413-418,共6页
This article is concerned with the quenching phenomena of the nonlinear degenerate functional reaction-diffusion equation. Some results are obtained on the single-point quenching and the uniqueness of quenching.
关键词 QUENCHING nonlinear degenerate functional reaction-diffusion equation initial boundary value and boundary value strong maximum principle
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