Double parametric based solution of fuzzy unconfined aquifer problem using Laplace transforms method DOI
Mrutyunjaya Sahoo, Diptiranjan Behera, Snehashish Chakraverty

et al.

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(11)

Published: Nov. 1, 2024

The Boussinesq equation describes the model for horizontal water flow in unconfined aquifers without precipitation, a topic that has been extensively studied literature. However, parameters, as well initial and boundary conditions, are often assumed to be exact. In reality, these conditions may incomplete or uncertain due limited knowledge, insufficient information, errors introduced by humans machines. fuzzy set theory recently successfully employed such uncertainties. This article investigates analytical solution of one-dimensional environment. objective this research is investigate recharge discharge semi-infinite aquifer adjacent lake. For present investigation, uncertainties terms considered only involved problem, whereas other parameters crisp analysis double parametric form number alongside Laplace transform techniques. obtained solutions were then compared with existing results specific cases validate their accuracy.

Language: Английский

Time-fractional shallow water wave equation with fuzzy uncertainty DOI
Mrutyunjaya Sahoo, Snehashish Chakraverty

Physics of Fluids, Journal Year: 2025, Volume and Issue: 37(5)

Published: May 1, 2025

This work aims to derive approximate analytical solutions for the Simplified Modified Camassa–Holm (SMCH) equation incorporating time-fractional derivatives in Caputo sense. is relevant modeling shallow water wave propagation, with significant application mathematical physics and engineering sciences. While classical formulations assume crisp variables parameters, real-world scenarios often involve inherent imprecision uncertainty. To address this, fuzzy uncertainty incorporated into formulation by introducing parameters initial conditions. A key novelty of this lies fractional reduced differential transform method obtain both precise SMCH equation. Unlike existing methods, our approach effectively handles fractional-order dynamics under assess reliability discussed method, a comparative analysis conducted between special case solutions. The obtained are presented forms, comprehensive two- three-dimensional graphical representations enhance interpretation their physical significance across various parameter values. Additionally, tabular results provided offer clearer understanding convergence behavior solution.

Language: Английский

Citations

0
Double parametric based solution of fuzzy unconfined aquifer problem using Laplace transforms method DOI
Mrutyunjaya Sahoo, Diptiranjan Behera, Snehashish Chakraverty

et al.

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(11)

Published: Nov. 1, 2024

The Boussinesq equation describes the model for horizontal water flow in unconfined aquifers without precipitation, a topic that has been extensively studied literature. However, parameters, as well initial and boundary conditions, are often assumed to be exact. In reality, these conditions may incomplete or uncertain due limited knowledge, insufficient information, errors introduced by humans machines. fuzzy set theory recently successfully employed such uncertainties. This article investigates analytical solution of one-dimensional environment. objective this research is investigate recharge discharge semi-infinite aquifer adjacent lake. For present investigation, uncertainties terms considered only involved problem, whereas other parameters crisp analysis double parametric form number alongside Laplace transform techniques. obtained solutions were then compared with existing results specific cases validate their accuracy.

Language: Английский

Citations

0