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Title of Journal: Numer Algor

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Abbravation: Numerical Algorithms

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Springer US

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DOI

10.1016/0165-7992(85)90143-5

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1572-9265

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GalerkinChebyshev spectral method and block bound

Authors: Wenjie Liu Jiebao Sun Boying Wu
Publish Date: 2015/05/29
Volume: 71, Issue: 2, Pages: 437-455
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Abstract

In this paper we present a highorder accurate method for twodimensional semilinear parabolic equations The method is based on a GalerkinChebyshev spectral method for discretizing spatial derivatives and a block boundary value methods of fourthorder for temporal discretization Our formulation has highorder accurate in both space and time Optimal a priori error bound is derived in the weighted L2 omega norm for the semidiscrete formulation Extensive numerical results are presented to demonstrate the convergence properties of the method

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