NUMERICAL SOLUTION OF COUPLED FRACTIONAL BURGER’S EQUATION

Praveen Agarwal; Youssouf Massoun; Clemente Cesarano; Abderrezak Said; Mohamed Elamine Talbi; Shilpi Jain; Miguel Vivas-Cortez

doi:10.1142/S0218348X25402789

NUMERICAL SOLUTION OF COUPLED FRACTIONAL BURGER’S EQUATION

Praveen Agarwal
, Youssouf Massoun
, Clemente Cesarano
, Abderrezak Said
, Mohamed Elamine Talbi
, Shilpi Jain
, Miguel Vivas-Cortez

Nonlinear Dynamic Research Centre (NDRC)

International College of Engineering
University of Algiers Benyoucef Benkhedda
International Telematic University Uninettuno
Djilali Bounaama University
University of Blida 1
Poornima College of Engineering
Pontificia Universidad Católica del Ecuador

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we use the homotopy analysis method to obtain an analytical solution for the fractional coupled Burgers’ equation. This method yields an approximate solution that exhibits convergence across a range of values for both the convergence control parameter, denoted as ℏ, and the parameter α. Optimal ℏ value, which minimizes the error determined by the residual, is identified. We subsequently conducted a comparative analysis of the results obtained through this method with solutions obtained from diverse numerical approach.

Original language	English
Article number	2540278
Journal	Fractals
DOIs	https://doi.org/10.1142/S0218348X25402789
State	Accepted/In press - 2026

Keywords

Burgers’ Equation
Homotopy Analysis Method
Numerical Solution

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10.1142/S0218348X25402789

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title = "NUMERICAL SOLUTION OF COUPLED FRACTIONAL BURGER{\textquoteright}S EQUATION",

abstract = "In this paper, we use the homotopy analysis method to obtain an analytical solution for the fractional coupled Burgers{\textquoteright} equation. This method yields an approximate solution that exhibits convergence across a range of values for both the convergence control parameter, denoted as ℏ, and the parameter α. Optimal ℏ value, which minimizes the error determined by the residual, is identified. We subsequently conducted a comparative analysis of the results obtained through this method with solutions obtained from diverse numerical approach.",

keywords = "Burgers{\textquoteright} Equation, Homotopy Analysis Method, Numerical Solution",

author = "Praveen Agarwal and Youssouf Massoun and Clemente Cesarano and Abderrezak Said and Talbi, \{Mohamed Elamine\} and Shilpi Jain and Miguel Vivas-Cortez",

note = "Publisher Copyright: {\textcopyright} 2026 The Author(s)",

year = "2026",

doi = "10.1142/S0218348X25402789",

language = "English",

journal = "Fractals",

issn = "0218-348X",

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T1 - NUMERICAL SOLUTION OF COUPLED FRACTIONAL BURGER’S EQUATION

AU - Agarwal, Praveen

AU - Massoun, Youssouf

AU - Cesarano, Clemente

AU - Said, Abderrezak

AU - Talbi, Mohamed Elamine

AU - Jain, Shilpi

AU - Vivas-Cortez, Miguel

PY - 2026

Y1 - 2026

N2 - In this paper, we use the homotopy analysis method to obtain an analytical solution for the fractional coupled Burgers’ equation. This method yields an approximate solution that exhibits convergence across a range of values for both the convergence control parameter, denoted as ℏ, and the parameter α. Optimal ℏ value, which minimizes the error determined by the residual, is identified. We subsequently conducted a comparative analysis of the results obtained through this method with solutions obtained from diverse numerical approach.

AB - In this paper, we use the homotopy analysis method to obtain an analytical solution for the fractional coupled Burgers’ equation. This method yields an approximate solution that exhibits convergence across a range of values for both the convergence control parameter, denoted as ℏ, and the parameter α. Optimal ℏ value, which minimizes the error determined by the residual, is identified. We subsequently conducted a comparative analysis of the results obtained through this method with solutions obtained from diverse numerical approach.

KW - Burgers’ Equation

KW - Homotopy Analysis Method

KW - Numerical Solution

UR - https://www.scopus.com/pages/publications/105034151000

U2 - 10.1142/S0218348X25402789

DO - 10.1142/S0218348X25402789

M3 - Article

AN - SCOPUS:105034151000

SN - 0218-348X

JO - Fractals

JF - Fractals

M1 - 2540278

ER -

NUMERICAL SOLUTION OF COUPLED FRACTIONAL BURGER’S EQUATION

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Keywords

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