... finite difference method. Artificial Neural Network and XGBoost models are trained to predict the temperature field from the numerical data. Findings The results demonstrate that wavelength-dependent laser absorption and finite-speed heat conduction significantly influence the thermal response...

... in comparison with the conventional LNS and finite difference method. This study confirming the robustness of the PINN framework as a reliable alternative for solving complex non-Newtonian transport phenomena in fluid flow and thermal engineering applications. Originality/value PINN-based modelling...

... Publishing Limited Licensed re-use rights only Casson fluid Fractional Maxwell model Variable porosity Finite difference method L1 scheme Stability analysis Corresponding author Sapna Sharma sapna.sharma@thapar.edu Conflict of interest: The authors declare...

... 12 04 2026 © 2026 Emerald Publishing Limited 2026 Emerald Publishing Limited Licensed re-use rights only Hexa-hybrid nanoparticles Sutterby model Arterial stenosis Microorganisms Finite difference method Large Research Project RGP2/228/46 The authors extend...

... or nonfinancial interests to disclose. 11 04 2025 04 06 2025 27 07 2025 28 07 2025 © 2025 Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Nonlinear degenerate diffusion PDE Porous medium WENO method Finite difference method...

... be contacted at: rajeev.apm@itbhu.ac.in 23 09 2024 07 11 2024 13 11 2024 © 2024 Emerald Publishing Limited 2024 Emerald Publishing Limited Licensed re-use rights only Front fixing approach Finite difference method Phase change problem Stefan problem This research has...

... assumed to be linear functions of temperature. The nonlinear form of the bioheat equation was solved using the Newton linearization method for the finite difference method and the Picard linearization method for the finite volume method. The algorithms were validated by comparing the results from both...

..., on the basis of mass, momentum and energy conservation laws, the governing equations of the hypersonic boundary layer are established. Viscosity, specific heat capacity and thermal conductivity are considered nonlinear functions concerning temperature. In virtue of the MacCormack finite difference method...

... difference with sixth-order accuracy, i.e.: (5) 1 Δ x ( k ^ j + 1 / 2 − k ^ j − 1 / 2 ) = k ( u ) x x | x = x j + O ( Δ x 6 ) . Porous medium Finite difference method Nonlinear degenerate parabolic equation WENO method...

... conduction equations with non-homogeneous boundary conditions into equivalent nonlinear “quasi–steady” heat conduction equations having the time variable embedded as a time parameter. The equivalent nonlinear “quasi–steady” heat conduction equations are solved with a finite difference method. Findings...

... industrial applications of this geometry. The analysis also addresses the comparative study of different porous media models governing fluid flow and heat transport. Design/methodology/approach The finite difference method has been used in the current simulation work to obtain the numerical solution...

.... With the growth of the Rayleigh number, the difference in the values of these mentioned variables for rectangular and triangular shapes of heaters also increases. Originality/value The originality of this work is to scrutinize the lattice Boltzmann method and finite difference method for the problem...

...’ knowledge, it is found from the literature survey that no similar work has been published which investigates the non-similar solution of Sisko nanofluid with variable thermal conductivity using finite difference method and quasilinearization technique. From the literature survey, it is observed...

... − T ∞ ) ( T w − T ∞ ) ] Variable thermal conductivity Variable viscosity Non-similar solution Quasilinearization technique Casson nanofluid Finite difference method α = Thermal diffusivity; β = Casson fluid parameter; β t...

... convection Finite difference method Streamfunction Navier–Stokes equation Vorticity Ar = Aspect ratio (H/L); g = Gravitational force component; Gr = Grashof number; H = Height of enclosure; L = Length of enclosure; K_h = Placement height of fin from...

... Emerald Publishing Limited Licensed re-use rights only Nanofluid Free convection Finite difference method Adiabatic fin Differentially heated chamber Local adiabatic block President of the Russian Federation MD-821.2019.8 Passive control of thermogravitational energy...

... in terms of the generalized derivative. Design/methodology/approach The Taylor expansion and the finite difference method are used for achieving the high order of convergence which is numerically demonstrated. The stability of the scheme is proved with the help of Von Neumann analysis. Findings...

...-sher@yandex.ru 28 06 2018 22 08 2018 24 08 2018 © Emerald Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only – Natural convection Finite difference method Unsteady regimes Porous layer Heat-generating solid element Local thermal non...

... radiation is considered for more accurate analysis of the complex heat transfer inside the cavity. The governing equations have been discretized using the finite difference method with the non-uniform grid on the basis of the special algebraic transformation. Turbulence was modeled using the k...

... of equivalent knowledge for Marangoni flow. Finite difference method Hydrothermal waves Marangoni flow Variable section geometries The rapid development that has taken place over the past 30 years in the field of electronic and optoelectronic devices has been supported on the one hand...