Numerical simulations of the Riemann problem, Taylor vortex flow, Couette flow, and oscillatory compressible flows with shock waves show that our implicit-explicit finite-difference lattice Boltzmann ...

Department of Mathematics, Jimma University, Jimma, Ethiopia This study presents an exponentially fitted finite-difference scheme for addressing singularly perturbed convection–diffusion problems ...

Agarwal and El-Sayed proposed a nonstandard finite difference method and a Chebyshev collocation method to solve a fractional order diffusion equation [27]. Momani et al. [25] constructed a ...

This repository features MATLAB projects using Finite Difference Methods to solve Laplace's equation and Maxwell's equations. It includes a 2D Laplace's Equation Solver and a 1D FDTD Simulation with ...

A leapfrog scheme for the unconditionally stable complying-divergence implicit (CDI) finite-difference time-domain (FDTD) method is presented. The leapfrog CDI-FDTD method is formulated to comprise ...

A web app solving Poisson's equation in electrostatics using finite difference methods for discretization, followed by gauss-seidel methods for solving the equations. Dirichlet conditions and charge ...

A correction for truncation errors associated with implicit finite difference method (FDM) of the groundwater transport equation with reaction term, which is generally used in groundwater transport ...