Browsing by Subject "Lie group analysis"
Now showing items 1-4 of 4
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Group analysis of a generalized KdV equation
(NSP, 2014)In this work the Korteweg-de Vries equation which contains an arbitrary function in the nonlinear term is considered and it is referred to as a generalized KdV.This equation has applications in non linear solitary wave ... -
Lie group analysis of an internal flow and heat transfer inside a combustion chamber of a solid rocket motor
(North-West University (South Africa), 2020)This research project presents semi-analytical solutions for flow and heat transfer during solid rocket motor operation. Proficient modelling process is followed to construct a mathematical representation based on conservation ... -
Lie group analysis of the new extended KP and three-dimensional KP-BBM equations
(North-West University (South Africa), 2023)In this dissertation, we examine three partial deferential equations that are nonlin- ear. Namely, nonlinear filtration equation, the new extended Kadomtsev-Petviashvili equation (eKP) and the Kadomtsev-Petviashvili-Benj ... -
Lie symmetry analysis of flow and heat transfer in an inclined deformable channel under the influence of magnetic field during filtration process
(North-West University (South Africa)North-West University, 2020)This project seeks to investigate the effects of dimensionless parameters affecting flow dynamics and heat distribution during ltration process which leads to optimal out flow (maximum permeates). The study carried out a ...