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Theory and Modern Applications

Table 6 A comparison of exact values and approximated values at different knots

From: A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

x

Exact solution

Approximated solution

Absolute error

0.1

0.58778525

0.58778972

4.4636e−06

0.2

0.95105652

0.95106374

7.2223e−06

0.3

0.95105652

0.95106374

7.2223e−06

0.4

0.58778525

0.58778972

4.4636e−06

0.5

0.00000000

2.96897923

2.9690e−14

0.6

−0.5877853

−0.5877897

4.4636e−06

0.7

−0.9510565

−0.9510637

7.2223e−06

0.8

−0.9510565

−0.9510637

7.2223e−06

0.9

−0.5877853

−0.5877897

4.4636e−06