Table 3 Exact and approximate solutions of the TFBZS (case II) at \(\theta =1\), \(t=0.01\), \(\delta =2\) and \(\lambda =2\).

From: Insights into time fractional dynamics in the Belousov-Zhabotinsky system through singular and non-singular kernels

x

\(\textsf{p}(x,t)\)

\(\textsf{w}(x,t)\)

Exact

Approx.

Abs. error

Exact

Approx.

Abs. error

− 10

0.993913

0.993914

8.43019 E−7

0.496957

0.496958

1.01806 E−6

− 6

0.941163

0.941170

7.17341 E−6

0.470582

0.470590

8.93003 E−6

− 2

0.582767

0.582778

1.09066 E−5

0.291384

0.291410

2.67739 E−5

2

0.0588943

0.0588787

1.56091 E−5

0.0294472

0.029448

7.98941 E−7

6

0.0009514

0.0009509

4.78581 E−7

0.0004757

0.0004757

2.19483 E−9

10

9.929 E−6

9.924 E−6

5.35382 E−9

4.964 E−6

4.964 E−6

2.94228 E−11

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