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Theory and Modern Applications

Table 2 Numerical results obtained for Example 4 with some selections \(\omega (\xi ,\tau )\)

From: Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden–Fowler equation generated by derivative with non-singular kernel

m

n

\(\omega (\xi ,\tau )=0.75-0.25 e^{-\xi \tau}\)

ω(ξ,τ)=0.55 + 0.35cos(πξτ)

ω(ξ,τ)=0.65 + 0.25sin(πξτ)

ω(ξ,τ)=(1 + 0.75sin(3πξτ))/2

MAE

ECO

MAE

ECO

MAE

ECO

MAE

ECO

5

5

1.0047E−05

1.0144E−05

9.6282E−06

1.0108E−05

7

7

2.6408E−08

10.3262

2.6744E−08

10.3209

4.3907E−10

17.3725

2.6654E−08

10.3206

9

9

3.9134E−11

14.5969

3.9592E−11

14.5992

3.7373E−11

05.5204

4.0509E−11

14.5403

11

11

2.6345E−15

26.3437

1.3736E−15

28.1616

3.0320E−16

32.1466

2.2488E−15

26.8725