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

Table 4

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

ℎ	𝑂(𝑘^2+ℎ^4)-method	𝑂(𝑘^4+ℎ^4)-method [16]
1/8	0.1889(−04)	0.5488(−02)
1/16	0.1137(−05)	0.3862(−03)
1/32	0.6943(−06)	0.2400(−04)
1/64	0.4169(−07)	0.1515(−05)