Work

Homotopy Perturbation ρ-Laplace Transform Approach for Numerical Simulation of Fractional Navier-Stokes Equations

Year: 2025

Type: article

Abstract: In this study, we tackle the time fractional discrete Navier-Stokes equation by employing the homotopy perturbation ρ-Laplace transform method (HPLTM), utilizing the Caputo-Katugampola fractional derivative of time. Additionally, we present graphical representations of the solution generated using Matlab software, comparing it with the exact solution for α = 1. We perform two test problems to verify and demonstrate the effectiveness of our approach. Our numerical findings and graphical analyses indicate that the proposed approach exhibits remarkable efficiency and simplicity, rendering it suitable for addressing a diverse array of challenges encountered in engineering and the sciences.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6320255978

Authors: Hamza Mihoubi, Awatif Muflih Alqahtani, Yacine Arioua, Brahim Bouderah, Tahar Tayebi

Institutions: University Mohamed Boudiaf of M'sila, Shaqra University, University Mohamed El Bachir El Ibrahimi of Bordj Bou Arreridj

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410225111

FWCI: 1.529

Cites:

Cited by: 2

Related to: 10