Theory and Modern Applications
Table 2 A comparison of \(L^{2}\) norm with \(h=5\tau =\frac{1}{M}\) at \(T=1\) for Problem 1
From: Extended cubic B-splines in the numerical solution of time fractional telegraph equation
α | \(L^{2}\)-norm [16] | \(L^{2}\)-norm proposed method | ||||
|---|---|---|---|---|---|---|
\(M_{1}=20\) | \(M_{2}=40\) | \(M_{3}=80\) | \(M_{1}=20\) | \(M_{2}=40\) | \(M_{3}=80\) | |
0.6 | 4.7812E−03 | 1.0955E−03 | 2.2623E−04 | 1.8893E−03 | 9.1390E−04 | 1.6673E−04 |
0.7 | 4.5879E−03 | 1.0289E−03 | 2.0119E−04 | 8.0515E−04 | 2.1220E−04 | 5.2584E−05 |
0.8 | 4.3196E−03 | 9.3157E−04 | 1.6304E−04 | 6.0531E−04 | 5.1956E−05 | 3.4099E−06 |
0.9 | 3.9411E−03 | 7.8419E−04 | 2.1547E−04 | 2.0000E−05 | 3.2034E−06 | 2.4375E−07 |