Error Analysis of Chebyshev-Legendre Pseudo-spectral Method for a Class of Nonclassical Parabolic Equation

Many physical phenomena are modeled by nonclassical parabolic initial boundary value problems which involve a nonclassical term u xxt in the governed equation. Combining with the Crank-Nicolson/leapfrog scheme in time discretization, Chebyshev-Legendre pseudo-spectral method is applied to space disc...

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Veröffentlicht in:	Journal of scientific computing 2012-09, Vol.52 (3), p.588-602
Hauptverfasser:	Zhao, Tinggang, Wu, Yujiang, Ma, Heping
Format:	Artikel
Sprache:	eng
Schlagworte:	Accuracy Algorithms Boundary value problems Chebyshev approximation Computational Mathematics and Numerical Analysis Convergence Discretization Error analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Spectral methods Theoretical
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