New Nonpolynomial Spline in Compression Method of 𝑂(𝑘²+ℎ⁴) for the Solution of 1D Wave Equation in Polar Coordinates

Table 2

The maximum absolute error at 𝛾=2, 𝑡=5.

ℎ	𝑂(𝑘^2+ℎ^4)-method	𝑂(𝑘^2+ℎ^2)-method
1/8	0.3865(−04)	0.3736(−03)
1/16	0.2416(−05)	0.9379(−04)
1/32	0.1510(−06)	0.2267(−04)
1/64	0.9442(−08)	0.5137(−05)