Year: 2008
Journal of Computational Mathematics, Vol. 26 (2008), Iss. 4 : pp. 511–535
Abstract
In this paper, a non-isotropic Jacobi pseudospectral method is proposed and its applications are considered. Some results on the multi-dimensional Jacobi-Gauss type interpolation and the related Bernstein-Jackson type inequalities are established, which play an important role in pseudospectral method. The pseudospectral method is applied to a twodimensional singular problem and a problem on axisymmetric domain. The convergence of proposed schemes is established. Numerical results demonstrate the efficiency of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-JCM-8640
Journal of Computational Mathematics, Vol. 26 (2008), Iss. 4 : pp. 511–535
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Jacobi pseudospectral method in multiple dimensions Jacobi-Gauss type interpolation Bernstein-Jackson type inequalities Singular problem Problem on axisymmetric domain.