pde1dd_cranknicolson.m

这是一些关于MATLAB的小程序

function PDE1Dd_CrankNicolson
% 使用Crank-Nicolson有限差分方法求解一维动态传热模型
%
% calling the function U = CrankNicolson(f,c1,c2,a,b,c,n,m) to solve the heat equation: 
%   du(x,t)/dt = α * d2u(x,t)/dx2 over R={(x,t):0<=x<=a,0<=t<=b}
%   with u(x,0)=f(x), for 0<=x<=a, and u(0,t)=c1,u(a,t)=c2,for 0<=t<=b.
% Input  - f=u(x,0) as a string 'f'
%           - c1=u(0,t) and c2=u(a,t)
%           - a and b right end points of [0,a] and [0,b]
%           - c the constant in the heat equation
%           - n and m number of grid points over [0,a] and [0,b]
% Output    - U solution matrix
%
%   Author: HUANG Huajiang
%   Copyright 2003 UNILAB Research Center, 
%   East China University of Science and Technology, Shanghai, PRC
%   $Revision: 1.0 $  $Date: 2002/04/15 $

c1 = 100;
c2 = 0;
a = 10;
b = 8;
alpha = 2;
n = 6;
m = 8;       
U = CrankNicolson(@ic,c1,c2,a,b,alpha,n,m)

% ------------------------------------------------------------------
function f = ic(x)
f = 0;