Skip to main content

Theory and Modern Applications

Table 2 \(\nu (\psi,\zeta,\mathcal{T})\) Comparison of Exact soltion, 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

\(\mathcal{T}=0.01\)

Exact solution

ETDM soltion

AE of ETDM

ψ

δ = 1

δ = 1

δ = 1

0

0.824808742900000

0.824808737600000

5.3012672040E–09

1

0.891292131400000

0.891292125700000

5.7285737890E–09

2

0.138325644700000

0.138325643800000

8.8905605100E–10

3

−0.741816801800000

−0.741816797100000

4.7678557200E–09

4

−0.939936301900000

−0.939936295800000

6.0412229310E–09

5

−0.273882700600000

−0.273882698900000

1.7603176390E–09

6

0.643977392400000

0.643977388300000

4.1390155720E–09

7

0.969767640700000

0.969767634500000

6.2329569540E–09

8

0.403957992400000

0.403957989800000

2.5963464570E–09

9

−0.533248771200000

−0.533248767700000

3.4273329990E–09

10

−0.980189073800000

−0.980189067500000

6.2999383020E–09