MATLAB: How do i solve this boundary value ode

boundarydifferential equationsequationsodeproblem

Hello,

I am trying to solve an ode with two boundary conditions, one of which is applied to the first derivative of the function. The differencial equation is: u''=-b/A(x) ; and the boundary conditions are: [u(0)==0, u'(1)==1/A(1)]. I haven't seen how to solve this problem, just the initial value problem and essential boundary conditions, so help will be appreciated.

Best Answer

Take a look at the example

"Compute Fourth Eigenvalue of Mathieu’s Equation"

under

https://de.mathworks.com/help/matlab/ref/bvp4c.html

It contains conditions on the derivative at the right boundary.

Best wishes

Torsten.

Related Solutions

MATLAB: How to solve a second order ODE with boundary conditions

Use "dsolve".

Best wishes

Torsten.

MATLAB: How to plot an ODE

Use for loop to solve equation 5 times for each n

n = [1 2 3 5 inf];
f = @(t,y,n) 1-t/n+y;
for i = 1:length(n)
    [t,y] = ode45(f,[0 5],ic,[],n(i));
    line(t,y)
end

Best Answer

Related Solutions

MATLAB: How to solve a second order ODE with boundary conditions

MATLAB: How to plot an ODE

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