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Highlights from
Tutorial on solving DDEs with DDE23

  • exam1
  • exam1
  • exam2
  • exam2
  • exam3
  • exam3
  • exam4
  • exam4
  • exam5
  • exam5
  • exam6 This is a demonstration problem for CTMS/BD in
  • exam6 This is a demonstration problem for CTMS/BD in
  • exam7 An example from C. Marriott and C. DeLisle, Effects
  • exam7 An example from C. Marriott and C. DeLisle, Effects
  • exam8 This is the suitcase problem from Suherman, et al.,
  • exam8 This is the suitcase problem from Suherman, et al.,
  • exer1 Example 1 of K.W. Neves, Automatic integration
  • exer1 Example 1 of K.W. Neves, Automatic integration
  • exer2 Example of J.D. Farmer, Chaotic Attractors of an
  • exer2 Example of J.D. Farmer, Chaotic Attractors of an
  • exer3 Wheldon's model of chronic granuloctic leukemia
  • exer3 Wheldon's model of chronic granuloctic leukemia
  • exer5
  • exer5
  • exer6 Sample problem of ARCHI manual. The absolute error
  • exer6 Sample problem of ARCHI manual. The absolute error
  • exer7 Marchuk immunology model of E. Hairer, S.P. Norsett, and
  • exer7 Marchuk immunology model of E. Hairer, S.P. Norsett, and
  • prob1 This system of ODE's is taken from 'An Introduction to Nuermcial Methods
  • prob1 This system of ODE's is taken from 'An Introduction to Nuermcial Methods
  • prob2 This problem considers a cardiovascular model, which can be found in
  • prob2 This problem considers a cardiovascular model, which can be found in
  • prob2b This problem considers a cardiovascular model, which can be found in
  • prob2b This problem considers a cardiovascular model, which can be found in
  • prob3 This problem is epidemic model due to Cooke, more information can be
  • prob3 This problem is epidemic model due to Cooke, more information can be
  • prob4 This problem is an epidemic model due to Cooke et alia, more information
  • prob4 This problem is an epidemic model due to Cooke et alia, more information
  • prob5 This problem population growth model due to Cooke et alia, more information
  • prob5 This problem population growth model due to Cooke et alia, more information
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Tutorial on solving DDEs with DDE23

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22 Aug 2003 (Updated )

Solving delay differential equations with DDE23. Tutorial + Examples.

exer6
function sol = exer6
% Sample problem of ARCHI manual.  The absolute error 
% tolerance is set to 1e-9 to illustrate the use of 
% options.  Also, it is necessary to use the InitialY 
% option because the solution is not continuous at the
% initial point.

% Copyright 2002, The MathWorks, Inc.

options = ddeset('AbsTol',1e-9,'InitialY',[0; 0]);
sol = dde23(@exer6f,[1, 2],@exer6h,[0, 4],options);
figure
plot(sol.x,sol.y)
title('Sample Problem of ARCHI Manual.')
xlabel('time t');
ylabel('y(t)');

%-----------------------------------------------------------------------

function yp = exer6f(t,y,Z)
%EXER6F  The derivative function for Exercise 6 of the DDE Tutorial.
ylag1 = Z(:,1);
ylag2 = Z(:,2);
yp = [  ylag1(1)*ylag2(2)
       -y(1)*ylag2(2)     ];

%-----------------------------------------------------------------------

function y = exer6h(t)
%EXER6H  The history function for Exercise 6 of the DDE Tutorial.
y = [ cos(t); 
      sin(t) ];

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