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

Table 1

Comparison of exact and numerical solutions for Example 1.

𝑥	𝑠=1.0, 𝑚=𝑛=6	Exact solution	𝑠=1.2, 𝑚=𝑛=9
	RBF method		RBF method
𝑥1	0	0	0
𝑥3	0.13633712736	0.13598397716525	0.13596345616525
𝑥6	0.34084281842	0.33995994291313	0.33994454291217
𝑥7	0.44620383234	0.44535138581350	0.44536178581320
𝑥8	0.49629810661	0.49554948904960	0.49553678904558
𝑥9	0.49629810661	0.49554948904960	0.49553578798663
𝑥10	0.44620383234	0.44535138581350	0.44536480583846
𝑥11	0.34084281842	0.33995994291313	0.33996457654310
𝑥14	0.13633712736	0.13598397716525	0.13597686714765
𝑥16	0	0	0
𝐿∞ error	8.82875509702𝑒−004		1.54000009599𝑒−005
𝐿2 error	2.09345530306𝑒−004		3.69805440717𝑒−006