In this video, learn how to solve boundary value differential equations using the finite difference method in Python. We break down the mathematical theory behind differential equations and transform ...

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 ...

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...

Abstract: This paper presents a finite difference method for the design of gradient coil in MRI. In this method, a linear matrix equation is formulated using a finite-difference approximation of the ...

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 ...

YASK--Yet Another Stencil Kit: a domain-specific language and framework to create high-performance stencil code for implementing finite-difference methods and similar applications.

A novel stochastic numerical scheme is introduced to solve stochastic differential equations. The development of the scheme is based on two different parts. One part finds the solution for the ...

ABSTRACT: In this paper, we investigate and analyze one-dimensional heat equation with appropriate initial and boundary condition using finite difference method. Finite difference method is a ...

Option pricing with various models (Black-Scholes, Heston, Merton jump diffusion, etc) and methods (Monte Carlo, finite difference, Fourier). Finite-Difference Approximations to the Heat Equation.

Abstract: A massively-dense wireless sensor network may pose many challenges for efficient load-balancing routing algorithm design due to the problem scale and hardware constraints. One approach to ...