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, ...
GitHub

A modular C++ framework for solving the 1D heat equation

The Backward Euler and Crank–Nicolson methods are solved using a tridiagonal solver implementing the Thomas algorithm. The first and last rows correspond to the boundary conditions, and the interior ...
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 ...
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 ...
JSTOR Daily

An Alternating Crank-Nicolson Method for Decoupling the Ginzburg-Landau Equations

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 ...
IEEE

Efficient implementations of the Crank-Nicolson scheme for the finite-difference time-domain method

Abstract: When a finite-difference time-domain (FDTD) method is constructed by applying the Crank-Nicolson (CN) scheme to discretize Maxwell's equations, a huge sparse irreducible matrix results, ...