#solotion of heat equation by Crank-Nicolson method in Similutaion import numpy as np import matplotlib.pyplot as plt from matplotlib.animation import FuncAnimation from scipy.sparse import diags, ...

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 ...

SIAM Journal on Numerical Analysis, Vol. 52, No. 6 (2014), pp. 2599-2622 (24 pages) In this paper, a new alternating direction implicit Galerkin–Legendre spectral method for the two-dimensional Riesz ...

This project explores numerical approaches to solving both the Time-Independent and Time-Dependent Schrödinger Equations (TISE and TDSE) in one and two dimensions using finite difference methods and ...

The time-dependent Ginzburg-Landau model of superconductors consists of coupled nonlinear partial differential equations, which presents difficulties in the numerical solution. We present an ...