Abstract
The present article focuses on the analytical approach using fractional orders and its applicationin the dynamics of physical processes. Fractional order models align better with experimental data compared tonon-fractional ones. This study primarily focuses on employing the new approximate analytical method to solveshallow water models with fractional orders. Numerical examples within the Caputo fractional derivative showcasethe method’s application. Results for both integer and fractional orders are graphically depicted, demonstrating thefractional solutions’ closeness to actual data. Analysis of 3D and 2D fractional order graphs reveals convergencetoward integer order graphs as fractional derivatives approach non-fractional ones. This method shows promise fordirect application in solving targeted problems and can be easily adapted for other fractional nature problems
Recommended Citation
El-Agamy, Rasha F.; Ahmad, Hijaz; Ismail, Gamal M.; Alraddadi, Ibrahim; Aljanabi, Mohammad; and Farooq, Umar
(2024)
"Exploring Advanced Analysis Technique for Shallow Water FlowModels with Diverse Applications,"
Iraqi Journal for Computer Science and Mathematics: Vol. 5:
Iss.
2, Article 11.
DOI: https://doi.org/10.52866/ijcsm.2024.05.02.012
Available at:
https://ijcsm.researchcommons.org/ijcsm/vol5/iss2/11
