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Theory and Modern Applications

Table 11 The \(L^{\infty }\)-norm and \(L^{2}\)-norm with \(h=2\tau =\frac{1}{M}\) at \(T=0.5\) for Problem 4

From: Extended cubic B-splines in the numerical solution of time fractional telegraph equation

M

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

\(L^{2}\)-norm

Order of convergence

CPU time

05

3.6153E−02

1.7707E−02

0.000010

10

1.0277E−02

5.3252E−03

1.81466

0.000013

20

2.3389E−03

5.8122E−04

2.13554

0.015600

40

9.2184E−04

5.8122E−04

1.34324

0.078000