Theory and Modern Applications
Table 5 A comparison of maximum absolute error 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 | \(L^{\infty }\)-norm [39] | \(L^{\infty }\)-norm proposed method | ||||
|---|---|---|---|---|---|---|
\(N_{1}=4\) | \(N_{2}=8\) | \(N_{3}=12\) | \(N_{1}=4\) | \(N_{2}=8\) | \(N_{3}=12\) | |
0.64 | 1.8691E−03 | 2.4918E−04 | 7.7737E−05 | 7.1339E−04 | 4.7992E−05 | 2.0457E−05 |
0.80 | 2.6820E−03 | 5.8744E−04 | 5.6021E−05 | 9.1889E−04 | 2.1762E−04 | 8.4597E−05 |
0.96 | 2.3345E−03 | 4.9965E−04 | 2.1047E−04 | 3.4711E−03 | 9.9307E−04 | 4.2965E−04 |