Skip to main content

Theory and Modern Applications

Table 3 A comparison of maximum error 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

\(L^{\infty }\)-norm proposed method

\(M_{1}=20\)

\(M_{2}=40\)

\(M_{3}=80\)

\(\mathrm{Order}= (\frac{M_{1}}{M_{2}} )\)

\(\mathrm{Order}= (\frac{M_{2}}{M_{3}} )\)

0.6

2.6719E−03

1.2925E−03

2.3579E−04

1.04776

2.45455

0.7

1.1387E−03

3.0010E−04

7.4366E−05

1.92380

2.01273

0.8

8.5604E−04

7.3478E−05

4.8224E−06

3.54230

3.92949

0.9

2.8285E−05

4.5303E−06

3.4471E−07

2.64239

3.71615