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Finite difference methods are numerical techniques used to approximate derivatives and solve differential equations by discretizing the domain into a grid of points. This approach is based on Taylor ...

This vector illustration depicts the three primary methods of heat transfer: convection, conduction, and radiation. The image features a saucepan or cooking pot placed over a flame, visually ...

Thermal action is a crucial process in laser processing. The classical Fourier heat conduction theory, which assumes an infinite speed of heat propagation, is commonly applied to describe steady-state ...

Abstract: This study investigates the enhancement of bioheat transfer simulations via a GPU-accelerated Alternating Direction Implicit-Finite Difference Method (ADI-FDM). Bioheat transfer is pivotal ...

Abstract: Different numerical methods are commonly used to solve transient heat conduction problems. This investigation centers on the simultaneous utilization of the lattice Boltzmann method (LBM) ...

This study presents the first comprehensive numerical simulation of heat and mass transfer in fractal-like mixed convective nanofluid flows. The flow of non-Newtonian nanofluids over flat and ...

ABSTRACT: The energy norm convergence rate of the finite element solution of the heat equation is reduced by the time-regularity of the exact solution. This paper presents an adaptive finite element ...