Triangular Fuzzy Solutions of Coupled Boussinesq-Burgers Equations with Uncertain Parameters

Vana, Rambabu; Karunakar, Perumandla

doi:10.22111/ijfs.2025.51771.9143

Document Type : Research Paper

Authors

Rambabu Vana ¹
Perumandla Karunakar ²

¹ Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati, India

² Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati, India.

https://doi.org/10.22111/ijfs.2025.51771.9143

Abstract

This article outlines the significance of the coupled Boussinesq-Burgers Equations (cBBEs) for the prediction of fluid flow in complicated systems, with special emphasis on shallow water waves (SWW) close to the coasts and lakes. The manuscript also defines the Fuzzy Elzaki Adomian Decomposition Method (FEADM) as a new technique suitable for solving the cBBE’s in crisp and fuzzy manners. Due to uncertainties in initial conditions caused by the fluid velocity or wave height, one parameter is taken to be a triangular fuzzy number (TFNs). Numerical implementations illustrate the performance of the FEADM against Homotopy Perturbation Method (HPM), Optimal Homotopy Asymptotic Method (OHAM) demonstrate that in terms of accuracy and efficiency, the method is superior. The proof of theorems also shows how the FEADM approaches the solution of nonlinear systems under uncertainties. These results of the research work show how useful the FEADM can be for the modeling of fluid dynamics in deterministic and fuzzy environments.

Keywords

Main Subjects

Fuzzy modelling

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Triangular Fuzzy Solutions of Coupled Boussinesq-Burgers Equations with Uncertain Parameters

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Volume 22, Issue 6November and December 2025Pages 21-39

Volume 22, Issue 6
November and December 2025
Pages 21-39