Write Matlab function given an ODE and initial conditions

Question

Sara Westerlund 2022-3-2

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编辑： Torsten 2022-3-2

From this ODE

How do I write a Matlab program that calculates p at time 1.5 time units given a value of k3. I want to do a Matlab function that takes k3 as input and outputs p (1.5)?

Given the following s0 = 2.2, e0 = 2.8, k1 = 11 och k2 = 1.6.

With start values s (0) = s0, e (0) = e0, c (0) = c0 = 0 and p (0) = p0 = 0

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Bjorn Gustavsson 2022-3-2

Why not? They are developed by experts in the field, that have gone to some considerable lengths to provide a suite of different solvers for ODEs with most types of numerical characteristics. If you know the shortcomings of these solvers for your type of ODE then you should also have sufficient competence to "roll your own" solver, but that doesn't fit very well with your "have used Euler's method before".

Torsten 2022-3-2

编辑：Torsten 2022-3-2

Most probably, it's an assignment for which the OP has to program Euler's method.

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Answer 1

Bjorn Gustavsson 2022-3-2

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在 MATLAB Online 中打开

Have a look at the ODE-examples, both the demos and the corresponding code:

>> odeexamples

That should give you a good starting introduction to how you should go about implementing your ODEs. Then you can also look at the help and documentation to ode45 and its siblings.

HTH