An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method
Issued Date
2024-03-01
Resource Type
eISSN
26668181
Scopus ID
2-s2.0-85183867306
Journal Title
Partial Differential Equations in Applied Mathematics
Volume
9
Rights Holder(s)
SCOPUS
Bibliographic Citation
Partial Differential Equations in Applied Mathematics Vol.9 (2024)
Suggested Citation
Dunnimit P., Sawangtong W., Sawangtong P. An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method. Partial Differential Equations in Applied Mathematics Vol.9 (2024). doi:10.1016/j.padiff.2024.100629 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/97113
Title
An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method
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Abstract
The dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure. This article examines the time-fractional Navier–Stokes equations by substituting the time derivative with the Katugampola fractional derivative represented in the Caputo type. The analytical solution for the time-fractional Navier–Stokes equation is obtained using the generalized Laplace residual power series technique. The proof of convergence to the solution of the proposed approach is established. To demonstrate the efficacy and precision of this methodology, two instances of time-fractional Navier–Stokes equations, which depict the movement of fluid inside a conduit, are shown. A comparative analysis is conducted between our findings and prior research outcomes.