From: Sean Flynn on
Hi,

I am using ode45 to solve an initial value problem. I am trying to solve the ordinary differential equation diff_eq defined below, for p as a function of u. My tspan is from
-1.828427124746190 to 3.828427124746190. My initial condition is
p0 = -1.828427124746190 - value
value can take on any positive value. When I try value = 0.8 ==> initial condition is
-2.628427124746191. I get a solution curve up to a certain point, and then it returns NaN. I'm wondering exatly why is it returning NaN. Does that mean that there is no solution there? Thank you very much in advance for you help.

All the best,
Sean

function [dp] = diff_eq(u,p,params)
mean_x = params(1,1);
var_x = params(2,1);
var_z = params(6,1);
mean_u = params(7,1);
var_u = params(8,1);

b = var_z/(var_u);
eval_pt = p-b*(u-mean_u);

density = normpdf(eval_pt,mean_x,sqrt(var_x));
cum_density = normcdf(eval_pt,mean_x,sqrt(var_x));

dp = b* density*(u-p)/(density*(u-p)-cum_density);
From: Steven_Lord on


"Sean Flynn" <smflynn26(a)yahoo.com> wrote in message
news:i3fgtb$gjm$1(a)fred.mathworks.com...
> Hi,
>
> I am using ode45 to solve an initial value problem. I am trying to solve
> the ordinary differential equation diff_eq defined below, for p as a
> function of u. My tspan is from -1.828427124746190 to 3.828427124746190.
> My initial condition is p0 = -1.828427124746190 - value
> value can take on any positive value. When I try value = 0.8 ==> initial
> condition is -2.628427124746191. I get a solution curve up to a certain
> point, and then it returns NaN. I'm wondering exatly why is it returning
> NaN. Does that mean that there is no solution there? Thank you very much
> in advance for you help.

It likely means that the value of dp in your function has become Inf or NaN
at some point. Set an error breakpoint that looks for Inf or NaN values
then run your function. You can then figure out for what values of u and p
your function is being called that result in the nonfinite value.

http://www.mathworks.com/access/helpdesk/help/techdoc/matlab_env/brqxeeu-175.html#brqxeeu-242

--
Steve Lord
slord(a)mathworks.com
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