Abstract: Finite difference methods are well‐known numerical methods to solve differential equations by approximating the derivatives using different difference schemes. Theoretical results have been ...

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 ...

Abstract: We develop a numerical solution algorithm of the nonlinear potential flow equations with the nonlinear free surface boundary condition. A finite difference method with a predictor-corrector ...

Notifications You must be signed in to change notification settings This is a numerical solution to a Sturm-Liouville-type ordinary differential equation using methods from numerical analysis. The ...

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 ...

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