Learn methods for interpolation, numerical integration and derivation, and finite difference methods for differential equations. You can use these live scripts as demonstrations in lectures, class ...
Enhancing heat transfer in turbulent flows is vital for energy systems and industrial processes, yet conventional methods yield limited gains. We demonstrate how artificial intelligence autonomously ...
Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. When time-propagating a wave packet representing a molecular system interacting with ...
Learn how to classify PDEs,and apply and visualize characteristic and finite difference solution methods. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...
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 ...
This contribution proposes two third-order numerical schemes for solving time-dependent linear and non-linear partial differential equations (PDEs). For spatial discretization, a compact fourth-order ...
Abstract: The recently developed two-directional unconditionally stable single-field (US-SF) finite-difference time-domain (FDTD) method is generalized to a 3-D. The method is based on the application ...
Abstract: This paper presents a new 3-D hybrid implicit explicit (HIE) finite-difference time-domain (FDTD) method with a stability criterion relaxed from the discretization space steps in one ...
Department of Mathematics, Numerical Analysis, King Abdulaziz University, Jeddah, Saudi Arabia. In this paper we have extended our previous approach associated to two dimension Convection-diffusion ...