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Table 1 Comparison of error norms when \(\gamma =0.8\), \(h=\frac{\pi }{M}\) for Example 1

From: A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation

M GMMP Scheme [22] (\(\tau =\frac{1}{9}\times 10^{-3}\)) Present Method (τ = 10−3)  
\(L_{2}\) Norm \(L_{\infty }\) Norm \(L_{2}\) Norm \(L_{\infty }\) Norm CPU Time (s)
4 3.640e−02 5.426e−04 2.105e−02 1.679e−02 43.20
6 1.616e−02 4.331e−02 9.048e−03 7.219e−03 55.55
8 9.075e−03 1.136e−02 5.092e−03 4.063e−03 69.92
10 5.797e−03 7.304e−03 3.301e−03 2.634e−03 87.69
12 4.016e−03 5.080e−03 2.338e−03 1.865e−03 109.06
14 2.942e−03 3.732e−03 1.761e−03 1.405e−03 135.91
16 2.245e−03 2.854e−03 1.387e−03 1.107e−03 155.25
18 1.768e−03 2.252e−03 1.132e−03 9.032e−04 166.62
20 1.426e−03 1.820e−03 9.496e−04 7.577e−04 221.91
22 1.173e−03 1.500e−03 8.149e−04 6.502e−04 223.73
24 9.807e−04 1.257e−03 7.125e−04 5.684e−04 242.34
26 8.310e−04 1.067e−03 6.328e−04 5.049e−04 263.88
28 7.123e−04 9.169e−04 5.697e−04 4.545e−04 298.72
30 6.165e−04 7.955e−04 8.790e−05 4.139e−04 344.34