Open Access

ARTICLE

A new semi-analytical solution of compound KdV-Burgers equation of fractional order

Zuhur Alqahtani¹, Ahmed Eissa Hagag²

1 Department of Mathematical Science, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 105862, Riyadh 11656, Saudi Arabia
2 Department of Basic Science, Faculty of Engineering, Sinai University, Ismailia, Egypt

* Corresponding Author: Ahmed Eissa Hagag ()

Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 2023, 39(4), 1-15. https://doi.org/10.23967/j.rimni.2023.10.003

Accepted 07 October 2023; Issue published 25 October 2023

Abstract

This article introduces and illustrates a novel approximation to the compound KdV-Burgers equation. For such a challenge, the q-homotopy analysis transform technique (q-HATM) is a potent approach. The suggested procedure avoids the complexity seen in many other methods and provides an approximation that is extremely near to the exact solution. The uniqueness theorem and convergence analysis of the expected problem are explored with the aid of Banach's fixed-point theory. Through a difference in the fractional derivative, the normal frequency for the fractional solution to this issue changes. All of the discovered solutions are illustrated in the figures and tables.

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Keywords

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