ddesd solver for discrete points

How to solve delay differential equation using ddesd solver at discrete points. For example

Solve y'(x) = y(x - sin(x)): y(0) = 0 and y(x)= 1 for x <0.

Solve the above equaton using ddesd solver at x = 0, 1, 2, 7, 8, 9, 11, 12.

This is an example. you can provide a generalized syntax also.

Answer 1

[Steven Lord]

This sounds like a homework assignment. If it is, show us the code you've written to try to solve the problem and ask a specific question about where you're having difficulty and we may be able to provide some guidance.

If you aren't sure where to start because you're not familiar with how to write MATLAB code, I suggest you start with the free MATLAB Onramp tutorial to quickly learn the essentials of MATLAB.

If you aren't sure where to start because you're not familiar with the mathematics you'll need to solve the problem, I recommend asking your professor and/or teaching assistant for help.

One hint from the documentation page for the ddesd solver:

ddesd returns the solution as a structure sol. Use the auxiliary function deval and the output sol to evaluate the solution at specific points tint in the interval tspan = [t0,tf].

yint = deval(sol,tint)

Answer 2

[RUPAL AGGRAWAL]

Hey! Thank you so much for your answer, Following are the codes.

%Main file to run

clear all;

clc;

tf = 5;

t = linspace(0,tf,10);

hist = 1;

sol = ddesd(@ddefunc, @delays, hist, t)

tint = [0.0312 0.0938 0.1562 0.2188 0.2812 0.3438 0.4062 0.4688 0.5312 0.5938 0.6562 0.7188 0.7812 0.8438 0.9062 0.9688];

yint = deval(sol, tint)

%Sepayat filefor ddefunc

function yp = ddefunc(t, y, yL)

yp = y - (y*(yL));

end

%Separate file foe delays

function d = delays(t, x)

d = sin(t);

end

COMMENT: y is 1. I am not sure if the codes are codes are correct neither i know the answer