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Theory and Modern Applications

Table 3 \(\mu (\psi,\zeta,\mathcal{T})\) Comparison of Exact solution, ETDM and ETDM Error of example 1 at \(\rho =1\)

From: An approximate analytical solution of the Navier–Stokes equations within Caputo operator and Elzaki transform decomposition method

\(\mathcal{T}=0.0005\)

Exact solution

ETDM soltion

AE of ETDM

ψ

δ = 1

δ = 1

δ = 1

0

−1.650370817000000

−1.650370817000000

0.0000000000E+00

1

−4.486173001000000

−4.486173000000000

1.0000000000E–09

2

−12.194682550000000

−12.194682550000000

0.0000000000E+00

3

−33.148583970000000

−33.148583970000000

0.0000000000E+00

4

−90.107193460000000

−90.107193440000000

2.0000000000E–08

5

−244.936746600000000

−244.936746600000000

0.0000000000E+00

6

−665.807107400000000

−665.807107200000000

2.0000000000E–07

7

−1809.851361000000000

−1809.851360000000000

1.0000000000E–06

8

−4919.686067000000000

−4919.686066000000000

1.0000000000E–06

9

−13373.093240000000000

−13373.093240000000000

0.0000000000E+00

10

−36351.836340000000000

−36351.836330000000000

1.0000000000E–05