Work

Innovative Solutions for Fractional Whitham-broer-kaup Model Using Transform-based Methods

Year: 2025

Type: article

Abstract: This study investigates the application of the Elzaki Residual Power Series Method (ERPSM) and the New Iteration Transform Method (NITM) for solving fractional-order Whitham-Broer-Kaup system. These nonlinear fractional differential equations are fundamental models for describing complex wave dynamics and fluid mechanics phenomena. Using the fractional derivative by the proposed methods provides robust and efficient approaches for deriving analytical solutions regarding power series and other functional forms. The convergence and reliability of the methods are thoroughly analyzed, highlighting their ability to handle the intricate dynamics of fractionalorder systems. Numerical simulations and illustrative examples validate the accuracy and effectiveness of ERPSM and NITM in solving fractional-order Whitham-Broer-Kaup system. The findings demonstrate the potential of these methods to address a wide range of problems in mathematical physics, fluid dynamics, and nonlinear wave theory, offering new insights into fractional-order modeling.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250039

Authors: Azzh Saad Alshehry, Saima Noor, Abdulkafi Mohammed Saeed, Ahmad Shafee, Rasool Shah

Institutions: King Faisal University, Qassim University, Princess Nourah bint Abdulrahman University, Public Authority for Applied Education and Training, College of Technological Studies

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Princess Nourah Bint Abdulrahman University, King Faisal University

Award: G2507330115