Table 6 A comparison of \(L^{2}\)-norm with \(h=\frac{1}{N}\), \(\tau =\frac{1}{N^{2}}\) at \(T=1\) for Problem 2
From: Extended cubic B-splines in the numerical solution of time fractional telegraph equation
α | \(L^{2}\)-norm proposed method | ||||
|---|---|---|---|---|---|
\(N_{1}=4\) | \(N_{2}=8\) | \(N_{3}=12\) | \(\mathrm{Order}= (\frac{N_{1}}{N_{2}} )\) | \(\mathrm{Order}= (\frac{N_{2}}{N_{3}} )\) | |
0.64 | 4.6716E−04 | 2.5236E−05 | 1.2218E−05 | 3.89381 | 1.23020 |
0.80 | 6.6620E−04 | 1.4635E−04 | 5.6375E−05 | 2.07811 | 1.36311 |
0.96 | 2.5837E−03 | 6.6449E−04 | 2.8156E−04 | 1.80541 | 1.20875 |