Table 7 The \(L_{2}\) and \(L_{\infty }\) errors with \(\alpha\) = 0.1, \(\sigma\) = 0.5, \(\Delta t\) = 0.00025, and \(\hat{\nu }\) = 1 at \(t\) = 1
From: A hybrid B-spline collocation technique for the Caputo time fractional nonlinear Burgers’ equation
\(M\) | \(\boldsymbol{L}_{2}\) | \(\boldsymbol{L}_{\infty }\) | ||||
|---|---|---|---|---|---|---|
\(\boldsymbol{\sigma}\) = 0.1 | \(\boldsymbol{\sigma}\) = 0.5 | \(\boldsymbol{\sigma}\) = 0.9 | \(\boldsymbol{\sigma}\) = 0.1 | \(\boldsymbol{\sigma}\) = 0.5 | \(\boldsymbol{\sigma}\) = 0.9 | |
10 | 1.48405e−03 | 3.65349e−04 | 3.04107e−05 | 2.03008e−03 | 4.99739e−04 | 4.15952e−05 |
20 | 3.73408e−04 | 9.17091e−05 | 7.43431e−06 | 5.10699e−04 | 1.25426e−04 | 1.01667e−05 |
40 | 9.35362e−05 | 2.29857e−05 | 1.81275e−06 | 1.28024e−04 | 3.14619e−05 | 2.47969e−06 |
80 | 2.34308e−05 | 5.78536e−06 | 4.15071e−07 | 3.20782e−05 | 7.92132e−06 | 5.67154e−07 |