Table 6 The comparison of error norms together with the convergence rate of the present method for \(\alpha\) = 0.5, \(\sigma\) = 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
\(M\) | Present method | Ref. [19] | ||||
|---|---|---|---|---|---|---|
\(\boldsymbol{L}_{2}\) | ROC | \(\boldsymbol{L}_{\infty }\) | ROC | \(\boldsymbol{L}_{2}\) | \(\boldsymbol{L}_{\infty }\) | |
10 | 3.653495e−04 | – | 4.997399e−04 | – | 1.632995e−03 | 2.296683e−03 |
20 | 9.170910e−05 | 1.99 | 1.254263e−04 | 1.99 | 4.47720e−04 | 6.25018e−04 |
40 | 2.298575e−05 | 2.00 | 3.146194e−05 | 2.00 | 1.61833e−04 | 2.27352e−04 |
80 | 5.785360e−06 | 1.99 | 7.921316e−06 | 2.00 | 9.2624e−05 | 1.33125e−04 |