Compact difference scheme for two-dimensional fourth-order hyperbolic equation

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 6 Errors and computational orders of central difference scheme with \(\beta =10\) for W

h	τ	\(\\|W-w\\|_{L^{\infty }}\)	order≈	\(\\|W-w\\|_{L^{2}}\)	order≈	CPU (s)
\(\frac{1}{10}\)	\(\frac{1}{{10}^{2}}\)	2.906e−05	–	1.608e−05	–	0.141896
\(\frac{1}{20}\)	\(\frac{1}{{20}^{2}}\)	7.313e−06	1.99	4.063e−06	1.98	1.483480
\(\frac{1}{30}\)	\(\frac{1}{{30}^{2}}\)	3.253e−06	2.00	1.811e−06	1.99	13.124587
\(\frac{1}{40}\)	\(\frac{1}{{40}^{2}} \)	1.830e−06	2.00	1.019e−06	2.00	53.583567
\(\frac{1}{50}\)	\(\frac{1}{{50}^{2}}\)	1.172e−06	2.00	6.528e−07	2.00	166.170702
\(\frac{1}{60}\)	\(\frac{1}{{60}^{2}}\)	8.139e−07	2.00	4.534e−07	2.00	434.362674