Passing additional iteration-dependent inputs to ode45 - matlab

Question

I'm trying to solve differential equation using the ode45 function. Consider the following code,
[t1,X2] = ode45(#(t,x)fun(t,x,C1,C2,C3,C4),t0,X01);
where parameters C1, C2, C3 and C4 are column vectors, which should be available to the function that ode45 is referring to (fun.m). I want the values to change after every iteration, so for example, at the beginning the entry of C1 I want in is C1(1), in the next iteration it's C1(2), etc.
How can I implement that?

Answer 1

You may have noticed that the official docs are not too helpful in this scenario (as they pretty much force you to use global variables - which is doable, but discouraged). Instead, I'll show you how this can be done with classes and function handles. Consider the following:
classdef SimpleQueue < handle
%SIMPLEQUEUE A simple FIFO data structure.
properties (Access = private)
data
position
end
methods (Access = public)
function obj = SimpleQueue(inputData)
%SIMPLEQUEUE Construct an instance of this class
obj.data = inputData;
rewind(obj);
end % constructor
function out = pop(obj, howMany)
%POP return the next howMany elements.
if nargin < 2
howMany = 1; % default amount of values to return
end
finalPosition = obj.position + howMany;
if finalPosition > numel(obj.data)
error('Too many elements requested!');
end
out = obj.data(obj.position + 1 : obj.position + howMany);
obj.position = finalPosition;
end % pop
function [] = rewind(obj)
%REWIND restarts the element tracking
% Subsequent calls to pop() shall return elements from the beginning.
obj.position = 0;
end % rewind
end % methods
end % classdef
How to use this? Simple:
C1q = SimpleQueue(C1);
C2q = SimpleQueue(C2);
C3q = SimpleQueue(C3);
C4q = SimpleQueue(C4);
[t1,X2] = ode45(#(t,x)fun(t,x,#C1q.pop,#C2q.pop,#C3q.pop,#C4q.pop),t0,X01);
As you can see, inside fun we use C1q() instead of C1.