Solving Parabolic and Hyperbolic Equations with Variable Coefficients Using Space-Time Localized Radial Basis Function Collocation Method

Table 1

Comparison of numerical results obtained using space-time method (top) and RK4 method (bottom).

	0.1	0.2	0.5	1	1
	Space-time
	20	20	20	20	40
CPU time	0.07231	0.06717	0.06657	0.06844	0.18470
MAE	8.80E-04	1.59E-03	3.22E-03	1.02E-03	8.63E-04
RMSE	5.96E-04	1.12E-03	2.29E-03	7.31E-04	6.16E-04
	RK4 method
	0.001	0.001	0.001	0.001	0.0005
CPU time	1.68775	2.92439	7.51148	13.71638	27.19279
MAE	3.95E-03	4.63E-03	5.72E-03	—	2.72E-03
RMSE	1.42E-03	1.83E-03	2.50E-03	—	6.92E-04