Table 1

Estimated order of convergence in time (left) and space (right) for different values of |$\alpha $| (rows) and |$s$| (columns) based on solutions to (6.1) with |$D(x,t) = (1+x^{2}+t^{2})^{-1}$|⁠. Here, the base values of grid parameters are |$\tau = 2^{-9}$| and |$h = 2^{-6}$|

|$\alpha \backslash s$|0.10.250.50.750.9
0.11.731.751.791.821.83
0.251.221.251.311.401.44
0.50.740.750.770.810.84
0.60.640.650.660.680.70
0.70.700.690.700.680.66
0.80.800.800.800.800.79
0.90.940.930.920.910.90
|$\alpha \backslash s$|0.10.250.50.750.9
0.12.032.042.022.002.00
0.252.032.042.022.002.00
0.52.042.042.022.002.00
0.62.032.042.022.002.00
0.72.032.042.022.002.00
0.82.032.032.022.002.00
0.92.022.032.012.002.00
|$\alpha \backslash s$|0.10.250.50.750.9
0.11.731.751.791.821.83
0.251.221.251.311.401.44
0.50.740.750.770.810.84
0.60.640.650.660.680.70
0.70.700.690.700.680.66
0.80.800.800.800.800.79
0.90.940.930.920.910.90
|$\alpha \backslash s$|0.10.250.50.750.9
0.12.032.042.022.002.00
0.252.032.042.022.002.00
0.52.042.042.022.002.00
0.62.032.042.022.002.00
0.72.032.042.022.002.00
0.82.032.032.022.002.00
0.92.022.032.012.002.00
Table 1

Estimated order of convergence in time (left) and space (right) for different values of |$\alpha $| (rows) and |$s$| (columns) based on solutions to (6.1) with |$D(x,t) = (1+x^{2}+t^{2})^{-1}$|⁠. Here, the base values of grid parameters are |$\tau = 2^{-9}$| and |$h = 2^{-6}$|

|$\alpha \backslash s$|0.10.250.50.750.9
0.11.731.751.791.821.83
0.251.221.251.311.401.44
0.50.740.750.770.810.84
0.60.640.650.660.680.70
0.70.700.690.700.680.66
0.80.800.800.800.800.79
0.90.940.930.920.910.90
|$\alpha \backslash s$|0.10.250.50.750.9
0.12.032.042.022.002.00
0.252.032.042.022.002.00
0.52.042.042.022.002.00
0.62.032.042.022.002.00
0.72.032.042.022.002.00
0.82.032.032.022.002.00
0.92.022.032.012.002.00
|$\alpha \backslash s$|0.10.250.50.750.9
0.11.731.751.791.821.83
0.251.221.251.311.401.44
0.50.740.750.770.810.84
0.60.640.650.660.680.70
0.70.700.690.700.680.66
0.80.800.800.800.800.79
0.90.940.930.920.910.90
|$\alpha \backslash s$|0.10.250.50.750.9
0.12.032.042.022.002.00
0.252.032.042.022.002.00
0.52.042.042.022.002.00
0.62.032.042.022.002.00
0.72.032.042.022.002.00
0.82.032.032.022.002.00
0.92.022.032.012.002.00
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