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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Errors and computational orders of central difference scheme for W

h	τ	\(\\|W-w\\|_{L^{\infty }}\)	order≈	\(\\|W-w\\|_{L^{2}}\)	order≈	CPU (s)
\(\frac{1}{10}\)	\(\frac{1}{{10}^{2}}\)	1.279e−01	–	6.395e−02	–	0.187456
\(\frac{1}{20}\)	\(\frac{1}{{20}^{2}}\)	3.655e−02	1.81	1.827e−02	1.81	1.381777
\(\frac{1}{30}\)	\(\frac{1}{{30}^{2}}\)	1.646e−02	1.97	8.229e−03	1.97	12.942769
\(\frac{1}{40}\)	\(\frac{1}{{40}^{2}} \)	9.296e−03	1.99	4.648e−03	1.99	53.898653
\(\frac{1}{50}\)	\(\frac{1}{{50}^{2}}\)	5.960e−03	1.99	2.980e−03	1.99	161.459585
\(\frac{1}{60}\)	\(\frac{1}{{60}^{2}}\)	4.143e−03	1.99	2.071e−03	1.99	429.255721