ode with varying constant
8 views (last 30 days)
Show older comments
i have one differntial eqation and in that i have two constants one is scalar and one is vector i have to solve diffential equation for each value of vector means i got no of diff equation= no of elements in vector now i have to plot each solution of each de with time
function [dydt] = diffvar(t,y)
dydt=-k*y+a;
end
3 Comments
Answers (1)
Star Strider
on 21 Oct 2020
Interpolating a time-domain vector in a differential equation is essentially described in the ode45 (and other solvers) documentation. This simply re-states it in the context of the current problem.
Try this
ic = 0;
tspan = [0 10];
k = 42;
av = rand(1,10); % Vector Defining ‘a’
a = @(t) interp1(linspace(min(tspan),max(tspan),numel(av)), av, t); % Function Interpolating ‘a’
[T,Y] = ode45(@(t,y)diffvar(t,y,k), tspan, ic);
figure
plot(T, Y)
grid
function [dydt] = diffvar(t,y,k)
dydt=-k*y+a(t); % Call ‘a’ As A Function
end
Use your own vector for ‘av’ and your own constant for ‘k’.
0 Comments
See Also
Categories
Find more on Ordinary Differential Equations in Help Center and File Exchange
Products
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!