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Theory and Modern Applications

Table 1 Analytical, numerical, and absolute values in different values of via cubic B-spline scheme, showing the accuracy of the obtained analytical solution

From: Abundant distinct types of solutions for the nervous biological fractional FitzHugh–Nagumo equation via three different sorts of schemes

Value of

Approximate values

Analytical values

Absolute values of error

0

0.5

0.5

5.55112 × 10−17

0.001

0.499751

0.49975

8.45294 × 10−7

0.002

0.499502

0.4995

1.50299 × 10−6

0.003

0.499252

0.49925

1.97301 × 10−6

0.004

0.499002

0.499

2.25524 × 10−6

0.005

0.498752

0.49875

2.3496 × 10−6

0.006

0.498502

0.4985

2.25598 × 10−6

0.007

0.498252

0.49825

1.97431 × 10−6

0.008

0.498002

0.498

1.50449 × 10−6

0.009

0.497751

0.49775

8.46413 × 10−7

0.01

0.4975

0.4975

5.55112 × 10−17