... 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...

... ∂ u ) u ,         x ( t ) < u < L ,       t > 0 Front fixing approach Finite difference method Phase change problem Stefan problem This research has been sponsored by SERB, Government of India (Sanction Letter No. MTR/2022/000169). T...

... 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...

... Emerald Publishing Limited 2023 Emerald Publishing Limited Licensed re-use rights only Porous medium Finite difference method Nonlinear degenerate parabolic equation WENO method The purpose of this paper is to design and develop a WENO scheme for solving the nonlinear degenerate...

... 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. Ankita Bisht can be contacted at: bishtankita2...

... Quasilinearization technique Casson nanofluid Finite difference method a₀ = Constant; a₁ = Viscosity variation parameter; b₁ = Thermal conductivity parameter; C = Nanoparticle volume fraction...

... of the proposed method to systematically avoid these numerical errors and achieve higher order accuracy in time. Natural convection Finite difference method Streamfunction Navier–Stokes equation Vorticity Ar = Aspect ratio (H/L); g = Gravitational force component; Gr = Grashof...

...-dimensional parameters: Hakan F. Öztop can be contacted at: hfoztop1@gmail.com 19 05 2019 24 07 2019 22 08 2019 © 2019 Emerald Publishing Limited 2019 Emerald Publishing Limited Licensed re-use rights only Nanofluid Free convection Finite difference method...

... 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...

... (b) and average temperature inside the heater (c) on time and porous layer thickness for Da = 10⁻⁴, ξ = 100, ζ = 0.0 – Natural convection Finite difference method Unsteady regimes Porous layer Heat-generating solid element Local thermal non-equilibrium model...

... 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...

... in such a case being transverse). Finite difference method Hydrothermal waves Marangoni flow Variable section geometries Important extensions to the original work of Smith and Davis (1983) and the later weakly non-linear analysis by Smith (1986) were provided by Priede and Gerbeth (1997) , who...

... has not yet been undertaken. Thus, the authors of the present study believe that this work is valuable. Nanofluid Finite difference method Trapezoidal cavity Spatial temperature Transient natural convection © Emerald Publishing Limited 2017 Emerald Publishing Limited Licensed re-use...

... of cross-diffusion effects. Design/methodology/approach A numerical computation for the governing equations has been performed using implicit finite difference method of Crank–Nicolson type. Findings The influence of various physical parameters on velocity, temperature and concentration...

... 13) Dr Tirivanhu Chinyoka can be contacted at: tchinyok@vt.edu © Emerald Group Publishing Limited 2015 Variable viscosity Convective boundary conditions Finite difference method Reactive third-grade fluid Saturated porous medium Unsteady suction/injection flow Flow...

... gradient. Design/methodology/approach – A finite element method is invoked and is blended with a finite difference method for left Caputo fractional time derivatives in order to study the anomalous dynamics of the fluid. Findings – A numerical scheme for the constitutive equations...