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Jima, M., Shiferaw, A. and Tsegaye, A. (2018) Numerical Solution of the Coupled Viscous Burgers’ Equation Using Differential Quadrature Method Based on Fourier Expansion Basis. Applied Mathematics, 9, 821-835.
https://doi.org/10.4236/am.2018.97057

has been cited by the following article:

• TITLE: Estimation of Thermal Pollution Using Numerical Simulation of Energy Equation Coupled with Viscous Burgers’ Equation

  AUTHORS: Prokriti Biswas, Laek Sazzad Andallah, Khandaker Md. Eusha-Bin-Hafiz

  KEYWORDS: Viscous Burgers’ Equation, Energy Equation, Heat Transfer, Lax-Wendroff Type Scheme, Thermal Pollution

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.12 No.3, August 12, 2022

  ABSTRACT: In this paper, we implement energy equation coupled with viscous Burgers’ equation as a mathematical model for the estimation of thermal pollution of river water. The model is a nonlinear system of partial differential equations (PDEs) that read as an initial and boundary value problem (IBVP). For the numerical solution of the IBVP, we investigate an explicit second-order Lax- Wendroff type scheme for nonlinear parabolic PDEs. We present the numerical solutions graphically as a temperature profile, which shows good qualitative agreement with natural phenomena of heat transfer. We estimate the thermal pollution of water caused by industrialization on the bank of a river.