A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations

Table 1

Numerical results for Example 1.

Methods	t		RMSE
DMM1	0.5	1.33E − 06	4.13E − 07	5.15E − 07
DMM2	0.5	1.62E − 06	5.02E − 07	7.09E − 07
[8]	0.5	1.24E − 05	3.24E − 06	—
[19]	0.5	—	7.82E − 06	3.11E − 05
[20]	0.5	1.74E − 05	7.15E − 05	4.59E − 05
DMM1	1	6.64E − 07	1.27E − 07	2.12E − 07
DMM2	1	9.38E − 06	1.79E − 06	2.66E − 06
[8]	1	2.67E − 05	4.27E − 06	—
[9]	1	9.97E − 04	5.98E − 03	2.27E − 03
[10]	1	3.75E − 06	2.47E − 05	4.57E − 06
[19]	1	—	2.07E − 05	1.01E − 05
[20]	1	8.15E − 06	5.45E − 05	2.51E − 05
DMM1	2	4.24E − 06	6.24E − 07	9.16E − 07
DMM2	2	2.76E − 06	4.06E − 07	5.30E − 07
[8]	2	3.20E − 05	3.94E − 06	—
[9]	2	1.09E − 03	8.50E − 03	2.87E − 03
[10]	2	4.47E − 06	3.83E − 05	5.61E − 06
[19]	2	—	3.01E − 06	8.25E − 06
[20]	2	9.36E − 06	8.13E − 05	2.41E − 05