TY - JOUR
T1 - A Fourth Order Finite Difference Approximation to the Eigenvalues Approximation to the Eigenvalues of a Clamped Plate
AU - Tao , Lü
AU - Liem , Chin Bo
AU - Shih , Tis Min
JO - Journal of Computational Mathematics
VL - 3
SP - 267
EP - 271
PY - 1988
DA - 1988/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9515.html
KW - 
AB - <p style="text-align: justify;">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 $\hatλ_h=\frac{4}{3}λ_{\frac{λ}{2}}-\frac{1}{3}λ_h$&nbsp;can be proved to have $O(h^4)$ precision.</p>