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% Differential Equations, W.H. Most likely there is a pole and NaN or Inf is the correct numerical value. Here is my code (attached "za_sajt.m"), that would be "1. aprox" plot. This way, "sol" has stored the first-order derivatives of y(1)-y(4) in y(5)-y(8) which can now be differentiated by a call to "deval". Notes: Providing the function to be integrated as CHAR vector is outdated for almost 20 years now. But I don`t know how to find the second derivative numerically. fn = 1/(rho(1)*Y(1))*(1.113-2.14*Y(1)+2.81*Y(1)^2-1.76*Y(1)^3+0.396*Y(1)^4+0.08694*Y(1)^5-0.0579*Y(1)^6 +0.0077*Y(1)^7); But the output vector consists of Nan values ; where as its returining numerical values on using the command window. While I run a simulink model in MATLAB, I get an error saying "dbOK does not exist" under "model error" heading..it said either Nan or inf value is taken at the input of model..Can you please help to resolve it? You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. As in making the coefficients of y(i) in both the equations of the same range. This page contains two examples of solving nonstiff ordinary differential equations using ode45. When Matlab stops, check the value of the trajectory. % L. F. Shampine and M. K. Gordon, Computer Solution of Ordinary. Solve the nonstiff Euler equations by calling the rigidode function. To get the second derivative, the first derivative must be part of the solution "sol". For this case I also have analytical solution, and my goal is to compare analytical solution and numerical solution of the second derivatives. What do you think, does ode15s is ok to use instead ode45, if I am looking for Runge Kutta solver? Each row in y corresponds to a time returned in the corresponding row of t. The first column of y corresponds to , and the second column to . https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#answer_333700, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_602624, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_602635, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_602645, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_602656, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_602658, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_602683, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_602952, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_602976, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_604038, https://ch.mathworks.com/matlabcentral/answers/415813-how-to-find-second-derivative-as-output-of-ode45#comment_604338. The resulting system of first-order ODEs is, The system of ODEs must be coded into a function file that the ODE solver can use. ode45 is designed to handle the following general problem: dx dt That is, the function must accept both t and y as inputs, even if it does not use t for any computations. A brief introduction to using ode45 in MATLAB MATLAB’s standard solver for ordinary di erential equations (ODEs) is the function ode45. But I got in the first case - first equation in my system -that analytical and numerical solution are not the same. for using anonymous function to provide parameters. @Moumita Ghosh: I cannot follow you. must be a structure returned by a differential equation solver. So, I need to find numerically the first and the second derivative of my values according to time. Choose a web site to get translated content where available and see local events and offers.

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