Abstract: Estimating stochastic gradients is pivotal in fields like service systems in operations research. The classical method for this estimation is the finite-difference approximation, which ...

Learn how to solve boundary value problems in Python using the finite difference method! 🐍📐 This tutorial walks you step-by-step through setting up the problem, discretizing the domain, and ...

Abstract: Among various magnetic property measurement devices, single-sheet testers (SSTs) are widely used due to their adaptability. However, the inherent nonlinearity of SSTs introduces unknown ...

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

In this tutorial, I demonstrate how to solve boundary value differential equations using the Finite Difference Method in Python. Learn step-by-step how to implement this numerical technique, ...

Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern seismic ...

Finite-Difference Time-Domain (FDTD) methods have become a cornerstone in the simulation of electromagnetic phenomena, enabling researchers to solve Maxwell’s equations through discretisation in both ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

ZTEM (Z-Axis Tipper Electromagnetic System) is a frequency-domain airborne electromagnetic exploration method that utilizes natural field sources. This method is highly efficient and capable of ...

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 ...