ls.m

关于数值计算的matlab程序代码,包含了很多的实用的算法.程序全部可以直接用的,有详细的英文注释.

function L=ls(F1,F2,a,b,alpha,beta,M)

%Input   - F1 and F2 are the systems of first-order equations 
%          representing the I.V.P.'s (9) and (10), respectively
%        - a and b are the endpoints of the interval
%        - alpha = x(a) and beta = x(b); the boundary conditions
%        - M is the number of steps
%Output  - L = [T' X]; where T' is M+1 x 1 vector of abscissas and
%          X is the M+1 x 1 vector of ordinates

%  NUMERICAL METHODS: Matlab Programs
% (c) 2004 by John H. Mathews and Kurtis D. Fink
%  Complementary Software to accompany the textbook:
%  NUMERICAL METHODS: Using Matlab, Fourth Edition
%  ISBN: 0-13-065248-2
%  Prentice-Hall Pub. Inc.
%  One Lake Street
%  Upper Saddle River, NJ 07458

Za=[alpha,0];
[T,Z]=rks4(F1,a,b,Za,M);
U=Z(:,1);
Za=[0,1];
[T,Z]=rks4(F2,a,b,Za,M);
V=Z(:,1);
X=U+(beta-U(M+1))*V/V(M+1);
L=[T' X];