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

Table 1

The maximum absolute error at 𝛾=1, 𝑡=5.

ℎ	𝑂(𝑘^2+ℎ^4)-method	𝑂(𝑘^2+ℎ^2)-method
1/8	0.4559(−04)	0.2842(−03)
1/16	0.2850(−05)	0.7133(−04)
1/32	0.1781(−06)	0.1751(−04)
1/64	0.1113(−07)	0.4230(−05)