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

Table 3

The maximum absolute error at 𝛾=1, 𝑡=2.

ℎ	𝑂(𝑘^2+ℎ^4)-method	𝑂(𝑘^4+ℎ^4)-method [16]
1/8	0.3786(−04)	0.4848(−02)
1/16	0.2359(−05)	0.3113(−03)
1/32	0.1443(−06)	0.1677(−04)
1/64	0.8679(−08)	0.8892(−06)