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Wavelet-based numerical solution of a mathematical model on the Hydro-magnetic stagnation point flow

S. Kumbinarasaiah, K. R. Raghunatha, Mustafa Inc and Ali Akgül
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S. Kumbinarasaiah: Department of Mathematics, Bangalore University, Bengaluru, India
K. R. Raghunatha: ��Department of Mathematics, Davangere University, Davangere, India
Mustafa Inc: ��Department of Computer Engineering, Biruni University, Istanbul, Turkey§Department of Medical Research, China Medical University Taichung, Taiwan
Ali Akgül: �Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey∥Department of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATS Chennai, Tamilnadu, India

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 08, 1-24

Abstract: The steady two-dimensional flow of an incompressible electrically conducting fluid near the stagnation point on a stretching sheet is investigated. The governing highly nonlinear PDEs are altered into highly nonlinear ODE by utilizing non-similar and similar variables and then solved numerically using a Hermite wavelet collocation method (HWCM). It is interesting to note that the results of the previous authors are in good agreement with the results of this study tabulated which is evident from the tabular values. Further, the effects of the magnetic parameter, viscoelastic parameter, stagnation point flow, and stretching of the sheet parameters on the flow field characteristics are obtained and discussed. The Lorentz force opposes the flow. Further, the fluid flow velocity decreases as the viscoelastic parameter increases. This practically indicates that the characteristics of fluid flow in viscoelastic fluids may be influenced by modifying the change in the viscoelastic parameter.

Keywords: Hermite wavelets; integration matrix; collocation method (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123501073

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