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Python tutorial: Solving boundary value problems using finite differences

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 ...
IEEE

High-Precision Controllable-Stability Conformal Finite-Difference Time-Domain Method

Abstract: This letter proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain algorithms. A quantitative ...
Nature

Finite Difference Methods in Seismic Wave Propagation

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 ...
Frontiers

Editorial: Approximation methods and analytical modeling using partial differential equations

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...
Scientific Research Publishing

Khan, I.R. and Ohba, R. (1999) Closed-Form Expressions for the Finite Difference Approximations of First and Higher Derivatives Based on Taylor Series. Journal of Computational ...

ABSTRACT: We implemented a two-step Asymmetric Perfectly Matched Layer (APML) model in High-Order Finite Difference Time Domain (FDTD) algorithm for solving two-dimensional Maxwell’s equations.
IEEE

A 2-D Parameter-Optimized Spatial Finite-Difference Temporal Differential Method With Dispersion-Controllable Properties

Abstract: In this letter, a 2-D parameter-optimized spatial finite-difference temporal differential (SFDTD) method is presented, referred to as the PO-SFDTD method. First, the dispersion ...
Scientific Research Publishing

Sali, M. and Chills, A.J. (2019) Static Calculation of Bending Beams of Varying Thickness Using the Finite Difference Equations of Successive Approximation Method ...

ABSTRACT: The behavior of beams with variable stiffness subjected to the action of variable loadings (impulse or harmonic) is analyzed in this paper using the successive approximation method. This ...