The Crank-Nicolson method is a powerful time-stepping technique often used in numerical analysis and computational modeling. It seamlessly blends the advantages of explicit and implicit methods, ...
Abstract: This study introduces a novel technique based on Fractional Grünwald-Letnikov Series designed to address fractional heat equations with initial and boundary conditions. The Crank-Nicolson ...
We consider two formulations of the Crank-Nicolson (CN) method for the Navier-Stokes equations (NSE). The “natural” way of implementing CN for NSE is formally second order accurate in time for both ...
This code solves time-dependent one-dimensional Schrödinger Equation with finite difference Crank-Nicolson method for Gaussian wave packet. The real and imaginary parts of the wave function are shown ...