Solution of Boundary Value Obstacle Problems Using MQ-RBF and IMQ-RBF

Table 2

Comparison of exact and numerical solutions for Example 2.

𝑥	𝑠=1.0, 𝑚=𝑛=6	Exact solution	𝑠=1.2, 𝑚=𝑛=9
	RBF method		RBF method
0.0	0	0	0
0.1	0.00078568857778	0.00072603711810	0.00072504958690
0.2	0.00294888593935	0.00290414847242	0.00290536784209
0.3	0.00653975857589	0.00651360507585	0.00651038335789
0.4	0.01101039579013	0.01105748825987	0.01105193964378
0.5	0.01550387591395	0.01556533144116	0.01556193848997
0.6	0.01909384653746	0.01905044604835	0.01905677849423
0.7	0.02053875436899	0.02053013998469	0.02053284784996
0.8	0.01951387899385	0.01955230368928	0.01955135789349
0.9	0.01862948575889	0.01867323762406	0.01867204968224
1.0	0.01832948588680	0.01838021560231	0.01838334510084
𝐿∞ error	6.145552721𝑒−005		6.3324458800𝑒−006
𝐿2 error	1.290788173𝑒−005		9.7350311797𝑒−007