Skip to main content

Theory and Modern Applications

Table 4 Comparison of errors obtained for Example 1 with \(\tau=\frac {1}{512}\) and \(\alpha=0.3\)

From: Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation

h

\(e_{\infty}(h,\tau)\) (real part)

\(e_{\infty}(h,\tau)\) (Imag. part)

Our method

[11]

Our method

[11]

1/4

3.8355790e − 2

4.3293e − 1

6.9716586e − 2

6.1119e − 1

1/9

1.3134983e − 3

7.0520e − 2

2.3999262e − 3

3.5128e − 2

1/14

2.2989563e − 4

2.1979e − 2

4.1516336e − 4

1.4733e − 2

1/19

6.7510083e − 5

1.0068e − 2

1.2139583e − 4

7.1997e − 3

1/24

2.6166613e − 5

5.2146e − 3

4.7854800e − 5

3.8478e − 3

1/29

1.2194745e − 5

2.8610e − 3

2.2402366e − 5

2.1771e − 3