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 represent a cornerstone in the numerical simulation of wave propagation phenomena. These methods solve Maxwell’s equations directly in the time domain, ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Learn how to model a wave on a string using Python and the finite difference method. This lesson connects electrodynamics, numerical methods, and wave physics by showing how a vibrating string can be ...

An error analysis of approximation of deltas (derivatives of the solution to the Cauchy problem for parabolic equations) by finite differences is given, taking into ...