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Theory and Modern Applications

Table 10 A comparison of maximum absolute errors at \(T=0.5\) for Problem 4

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

x

Collocation method [1]

Proposed method

n = 3

n = 4

n = 5

0.0

4.426E−04

8.630E−05

2.150E−06

2.124E−13

0.1

7.578E−05

6.734E−05

2.965E−05

9.291E−06

0.2

2.117E−05

1.172E−04

2.082E−04

1.880E−05

0.3

5.044E−04

1.851E−05

3.804E−04

2.786E−05

0.4

3.169E−04

3.180E−04

2.702E−04

3.722E−05

0.5

1.368E−03

1.011E−03

3.151E−04

5.587E−05

0.6

2.990E−03

1.997E−03

1.499E−03

7.070E−05

0.7

2.689E−03

3.270E−03

3.168E−03

7.080E−05

0.8

3.304E−02

6.917E−03

4.472E−03

7.028E−04

0.9

1.212E−01

2.302E−02

2.676E−03

1.692E−03