Cubic Spline Method for 1D Wave Equation in Polar Coordinates

Table 2

𝛾=𝑘/ℎ²=4.0, 𝑡=5.0.

h	Proposed 𝑂(𝑘^2+ℎ^4) method		𝑂(𝑘^4+ℎ^4) method
			discussed in [17]
	𝛼=1	𝛼=2	𝛼=1	𝛼=2
1/10	0.3227 (−4)	0.1658 (−4)	0.6280 (−4)	0.5558 (−4)
1/20	0.1967 (−5)	0.1019 (−5)	0.3884 (−5)	0.3378 (−5)
1/40	0.1174 (−6)	0.6282 (−7)	0.2322 (−6)	0.2084 (−6)
1/80	0.6935 (−8)	0.3897 (−8)	0.1408 (−7)	0.1266 (−7)