@Article{JCM-6-267, author = {Tao , LüLiem , Chin Bo and Shih , Tis Min}, title = {A Fourth Order Finite Difference Approximation to the Eigenvalues Approximation to the Eigenvalues of a Clamped Plate}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9515.html} }