I need some guidance regarding numerical ordinary differential equation
I have nine simultaneous first order differential (OD) equations which can be combinedly written as: dY/dt = A*Y + b where Y is a vector consisting of 9 terms and A is a matrix of size 9,3.
Can someone suggest me how should I start?
The paper that, I am looking at, briefly explains the procedure as: “The problem can be analytically without further simplification with the use of Matlab built-in function of matrix left division (\) and matrix power (expm 1) “ Regards, DK
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A should be a 9x9 array
write and save this function as myeq.m
function dY=myeq(t,Y) A=randi(9,9,9) ; % Example b=1; dY=zeros(9,1) ; dY = A*Y + b;
Then call it
y0=zeros(9,1)% Initial conditions tspan=[0 10]; [t,y]=ode45(@myeq2,tspan,y0)