Abstract: Staircase approximation in the simulation of the arbitrarily irregular surface will cause artificial interference of wavefield. The body-fit coordinate transformation can accurately simulate ...

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 ...

Finite difference methods are numerical techniques used to approximate derivatives and solve differential equations by discretizing the domain into a grid of points. This approach is based on Taylor ...

Systems of interacting electrons can show emergent, strong-correlation phenomena. The parquet equations self-consistently relate various propagation amplitudes of many-electron systems and thereby ...

A 2D incompressible Navier-Stokes solver for the classic lid-driven cavity problem, implemented with finite difference method, Runge-Kutta time integrator, and projection method for pressure.

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 ...

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 ...

1 Department of Mathematics, Comilla University, Kotbari, Bangladesh. 2 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. In this paper, we investigate and analyze ...

The behavior of many engineering structures, excited from external stresses, is governed by differential equations. We can solve most of these differential equations analytically as long as we ...