Setting up jacobian pattern in odeset

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Deepa Maheshvare
Deepa Maheshvare 2021-2-17
编辑： Deepa Maheshvare 2021-2-17
Hi All,
I'm trying to evaluate the jacobian pattern for a toy model
x0 = [1 0 0 0 0 0 0 0 0 0]';
tspan = 0:0.01:5;
f0 = fun(0, x0);
J = odenumjac(fun,{0 x0}, f0);
sparsity_pattern = sparse(J~=0.);
options = odeset('Stats', 'on', 'JPattern', sparsity_pattern);
[t, sol] = ode15s(@(t,x) fun(t,x), tspan , x0);
plot(t, sol)
function f = fun(t,x)
mat1=[
1 -2 1 0 0 0 0 0 0 0;
0 1 -2 1 0 0 0 0 0 0;
0 0 1 -2 1 0 0 0 0 0;
0 0 0 1 -2 1 0 0 0 0;
0 0 0 0 1 -2 1 0 0 0;
0 0 0 0 0 1 -2 1 0 0;
0 0 0 0 0 0 1 -2 1 0;
0 0 0 0 0 0 0 1 -2 1;
];
mat2 = [
1 -1 0 0 0 0 0 0 0 0;
0 1 -1 0 0 0 0 0 0 0;
0 0 1 -1 0 0 0 0 0 0;
0 0 0 1 -1 0 0 0 0 0;
0 0 0 0 1 -1 0 0 0 0;
0 0 0 0 0 1 -1 0 0 0;
0 0 0 0 0 0 1 -1 0 0;
0 0 0 0 0 0 0 1 -1 0;
];
f(1,1) = 0;
f(2:9,1) = mat1*x + mat2*x;
f(10,1) = 2*(x(end-1) - x(end));
end
I get the following error and unfortunately I couldn't figure out how to fix this error
Not enough input arguments.
Error in Untitled>fun (line 36)
f(2:9,1) = mat1*x + mat2*x;
Error in Untitled (line 5)
J = odenumjac(fun,{0 x0}, f0);
Suggestions on how to fix this will be really helpful.

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