From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 50/DEPENDENCIES/sim_eulercauchy.sce | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) create mode 100755 50/DEPENDENCIES/sim_eulercauchy.sce (limited to '50/DEPENDENCIES/sim_eulercauchy.sce') diff --git a/50/DEPENDENCIES/sim_eulercauchy.sce b/50/DEPENDENCIES/sim_eulercauchy.sce new file mode 100755 index 000000000..b16af4509 --- /dev/null +++ b/50/DEPENDENCIES/sim_eulercauchy.sce @@ -0,0 +1,24 @@ +function [u,v,t] = simeulercauchy(u0,v0,t0,tn,h,f1,f2) + + +// du/dt = f1(t,u,v), dv/dt = f2(t,u,v) with initial +//conditions u=u0,v=v0 at t=t0. The +//solution is obtained for t = [t0:h:tn] +//and returned in u,v + + +umaxAllowed = 1e+100; + +t = [t0:h:tn]; u = zeros(t); n = length(u); u(1) = u0; + +for j = 1:n-1 + k11=h*f1(t(j),u(j),v(j)); + k21=h*f2(t(j),u(j),v(j)); + k12=h*f1(t(j)+h,u(j)+k11,v(j)+k21); + k22=h*f2(t(j)+h,u(j)+k11,v(j)+k21); + u(j+1) = u(j) + (k11+k12)/2; + v(j+1) = v(j) + (k21+k22)/2; + +end; + +endfunction -- cgit