GitHub

The-heat-equation-solver-by-Crank-Nicolson-Method

#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, ...
IEEE

A Novel Approach for Solving Space Fractional Heat Equations with Variable Coefficients Using the Crank-Nicolson Method

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 ...
JSTOR Daily

A CRANK–NICOLSON ADI SPECTRAL METHOD FOR A TWO-DIMENSIONAL RIESZ SPACE FRACTIONAL NONLINEAR REACTION-DIFFUSION EQUATION

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 ...
Scientific Research Publishing

Ali, U., Abdullah, F.A. and Ismail, A.I. (2009) Crank-Nicolson Finite Difference Method for Two-Dimensional Fractional Sub-Diffusion Equation. Journal of Interpolation and ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...
GitHub

NUMERICAL-SOLUTION-OF-THE-SCHRODINGER-EQUATION

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 ...