In this study, the fractal neutrons diffusion equation is constructed based on the concept of
fractal anisotropy and product-like fractal measure introduced by Li and Ostoja-Starzewski …

In this study, a two-dimensional contaminant transport model with time-varying axial input
sources subject to non-linear sorption, decay, and production is numerically solved to find …

Convolutional neural networks (CNNs) rely on the depth of the architecture to obtain
complex features. It results in computationally expensive models for low-resource IoT …

This article investigates the effect of surface radiation on the surface heat flux of a two-
dimensional hypersonic panel flow by comparing the surface heat fluxes of penetrating …

Purpose The purpose of this study is to use the method of lines to solve the two-dimensional
nonlinear advection–diffusion–reaction equation with variable coefficients …

Analytical solution has been obtained for one-dimensional advection-diffusion equation with
constant coefficients by using Laplace transformation. Also numerical solution has been …

The advection–diffusion equation (ADE) describes many important processes in
hydrogeology, mechanics, geology, and biology. The equations model the transport of a …

The present study uses a novel finite element scheme to solve the unsteady 1D advection-
diffusion equations. This approach reconstructs the finite element scheme based on …

Anomaly detection is needed in many applications, such as video surveillance,
manufacturing defect detection, and medical image analysis. However, this poses a …

We present a variant of dynamic mode decomposition (DMD) for constructing a reduced-
order model (ROM) of advection-dominated problems with time-dependent coefficients …