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Öğe A Study of Nanofluid Flow with Free Bio-Convection in 3D Nearby Stagnation Point by Hermite Wavelet Technique(Amer Scientific Publishers, 2024) Raghunatha, K. R.; Kumbinarasaiah, S.; Inc, Mustafa; Akgul, AliA new wavelet-numerical method for solving a system of partial differential equations describing an incompressible bio-convection nanofluid flow in a three-dimensional region close to the stagnation point is the primary focus of this article. Hermite wavelets form the basis of the algorithm. An assortment of similitude factors is utilized to improve on the overseeing conditions addressing the protection of all out mass, force, nuclear power, nanoparticles, and microorganisms to a bunch of completely connected nonlinear common differential conditions. The most important physical quantities that have a practical impact on the spread of motile bacteria are presented and analyzed in this paper. During bio-convection, the Prandtl, Lewis, Peclet, Schmidt, and Rayleigh numbers can alter the distribution of moving molecules. The dispersion of microorganisms can be emphatically affected by the kinds of nanoparticles and by the varietis in the temperature as well as volumetric part of the IP: 203.8.109.20 On: Tue, 16 Apr 2024 14:56:17 nanoparticles between the wall and the encompassing liquid. With excellent agreement for coupled nonlinear differential equations in engineering applications, our result demonstrates how powerful and simple the HWM Delivered by Ingenta is for solving these coupled nonlinear ordinary differential equations.Öğe Wavelet-based numerical solution of a mathematical model on the Hydro-magnetic stagnation point flow(World Scientific Publ Co Pte Ltd, 2023) Kumbinarasaiah, S.; Raghunatha, K. R.; Inc, Mustafa; Akguel, AliThe 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.