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Solving Coupled Differential Equations
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So, I have two programs, a runner and a function. I am fairly new to MATLAB so any help would be nice. I am not getting calculated values for N(:, 2) and N(:, 3).
Runner:
tspan = [0 10];
global B11;
B11 = 10^-6;
N0 = [1; 1; 1];
global B12;
B12 = 2.8*10^2;
global B22;
B22 = 10^-6;
global I;
I = 10^9;
global v0;
v0 = 1.4*10^-20;
[t,N] = ode45(@bimodaltest, tspan, N0);
Nt = N(:, 1) + N(:, 2);
Vt = N(:, 1).* v0;
plot(N(:, 3), N(:,1), N(:,3), N(:,2));
legend('N1','N2');
.
Function:
function dNdt = bimodaltest(t, N);
global B11;
global B12;
global B22;
global r;
global k;
global v0;
if N(1)>0
r= N(3, :)/((N(2, :))^2 * v0);
else
r = 2;
dNdt = [1; 1; 1];
k = 0;
end
global I;
dNdt(1) = (-.5.*B11)*(r./(r-1)).*(N(1)^2) - B12*N(2).*N(1) + I;
dNdt(2) = (- 0.5*B22).*(N(2)^2) + (0.5.*B11)*(N(1).^2).*(1./(r-1))+I;
dNdt(3) = (.5*B11*(r/(r-1))*(N(1)^2))*v0 + B12*N(1)*N(2)*v0;
dNdt = dNdt';
If you guys could tell me ASAP what's wrong with my code, I'd really appreciate it.
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