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半空间上Burgers方程改进的Legendre有理谱逼近

Modified Legendre Rational Spectral Method for Burgers Equation on Half Line
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摘要 用改进的Legendre有理谱方法对半无限空间上Burgers方程构造了一种具有守恒性质的逼近格式,并用误差估计方法证明了格式的收敛性。 A spectral approximations scheme using the modified Legendre rational functions for the Burgers equation on the half line is investigated.The approximation solution possesses the essential conservation properties satisfied by the solution of the original equation.The convergence of the approximate scheme is proved by error estimate method.
出处 《河南科技大学学报(自然科学版)》 CAS 2007年第6期81-84,共4页 Journal of Henan University of Science And Technology:Natural Science
基金 国家自然科学基金项目(10432010) 河南科技大学科研基金项目(2004ZY040)
关键词 BURGERS方程 改进的Legendre有理谱方法 收敛性 Burgers equation Modified Legendre rational spectral method Convergence.
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  • 1GUO Benyu WANG Zhongqing.Legendre rational approximation on the whole line[J].Science China Mathematics,2004,47(z1):155-164. 被引量:3
  • 2Ben-yu Guo(Department of Mathematics, Shanghai Normal University, Shanghai 200234, China)(COM2MAC, Pohang University of Science and Technology, Pohang, Korea).JACOBI SPECTRAL APPROXIMATIONS TO DIFFERENTIALEQUATIONS ON THE HALF LINE[J].Journal of Computational Mathematics,2000,18(1):95-112. 被引量:10
  • 3R. Courant,K. Friedrichs,H. Lewy.über die partiellen Differenzengleichungen der mathematischen Physik[J]. Mathematische Annalen . 1928 (1)
  • 4Guo Ben-yu.Error estimation of Hermite spectral method for nonlinear partial differentialequations. Mathematics of Computation . 1999
  • 5Coulaud O,Funaro D,and Kavian O.Laguerre spectral approximation of elliptic prob-lems in exterior domains. Comp. Mech. in Appl. Mech. and Engi . 1990
  • 6Funaro D.Estimates of Laguerre spectral projectors in Sobolev spaces.In: Brezinski C.Gori L. Ronveaux A. ed . 1991
  • 7FUNARO D,KAVIAN O.Approximation of some diffusion evolution equations in unbounded domains by Hermite functions. Mathematics of Computation . 1990
  • 8R. Askey.Orthogonal Polynomials and Special Functions. Regional Conference Series inApplied Mathematics . 1975
  • 9Timan,A. F. Theory of approximation of functions of a real variable . 1963
  • 10Bergh J,Lfstrm J.Interpolation Space:An Introduction. . 1976

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