A Fourth Order Finite Difference Approximation to the Eigenvalues Approximation to the Eigenvalues of a Clamped Plate
Year: 1988
Author: Lü Tao, Chin Bo Liem, Tis Min Shih
Journal of Computational Mathematics, Vol. 6 (1988), Iss. 3 : pp. 267–271
Abstract
In a 21-point finite difference scheme, assign suitable interpolation values to the fictitious node points. The numerical eigenvalues are then of $O(h^2)$ precision. But the corrected value $\hat{λ}_h=λ_h+\frac{h^2}{6}λ_h^{\frac{3}{2}}$ and extrapolation $\hatλ_h=\frac{4}{3}λ_{\frac{λ}{2}}-\frac{1}{3}λ_h$ can be proved to have $O(h^4)$ precision.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1988-JCM-9515
Journal of Computational Mathematics, Vol. 6 (1988), Iss. 3 : pp. 267–271
Published online: 1988-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 5