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-rw-r--r--Functions/Heun/Heun.m44
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diff --git a/Functions/Heun/Heun.m b/Functions/Heun/Heun.m
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--- a/Functions/Heun/Heun.m
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-function [t,y] = Heun(dydt,tspan,y0,h,es,maxit)
-% [t,y] = Heun(dydt,tspan,y0,h): uses the heun method to integrate an ODE
-% inputs:
-% dydt = the differential equation of interest (must be anonymous
-% function)
-% tspan = [ti,tf] the initial and final values of the independent
-% variable
-% y0 = the initial value of the dependent variable
-% h = step size
-% es = stopping criterion (%), optional (default = 0.001)
-% maxit = maximum iterations of corrector, optional (default = 50)
-% outputs:
-% t = vector of independent variable values
-% y = vector of solution for dependent variable
-
-%Error checking
-if nargin<4, error('At least 4 aruments required.');end
-if nargin<5|isempty(es), es = 0.001;end
-if nargin<6|isempty(maxit), maxit = 50;end
-if length(tspan)~=2, error('Argument tspan must have a length of 2');end
-
-%Trims tspan according to step size (h)
-t=tspan(1):h:tspan(2);
-%if rem(tspan(2),h)~=0
-if t(length(t))~=tspan(2)
- t=[t,tspan(end)];
-end
-
-y=ones(1,length(t))*y0;
-h=diff(t);
-
-for i=1:length(t)-1
- S=dydt(t(i),y(i));
- ynew=y(i)+S*h;
- for j=1:maxit
- yold=ynew;
- ynew=y(i)+h(i)/2*(S+dydt(t(i+1),yold));
- ea = abs((ynew-yold)/ynew)*100;
- if ea <= es, break, end
- end
- y(i+1)=ynew;
-end
-plot(t,y)
-end \ No newline at end of file