Solving of integro-differential equation

How one can solve numerically using MatLab the second order integro-differential equation of the type y''-a*integral(f(t-t1)*y'*dt1)-b*y=0 ? Any suggestions are highly appreciated. Thanks in advance.

Answer 1

[Claudio Gelmi]

Hi, try using this solver developed in MATLAB:

"IDSOLVER: A general purpose solver for nth-order integro-differential equations": http://dx.doi.org/10.1016/j.cpc.2013.09.008

MATLAB solver here for download (free): http://cpc.cs.qub.ac.uk/summaries/AEQU_v1_0.html

Best wishes,

Claudio

[bloodtalon]

Just a link like this isn't helping. Could you actually give some instructions on how to use it and/or some examples, preferably of the one in the question?

[Mohan Aditya Sabbineni]

Please help me in solving this integro differential equation. I am unable write a code for this.

∂f/∂t−(H(f)(∂f/∂x)=0

where [H(f)] is hilbert transform of 'f.'

and f=f(x,t) and initial condition is f(x,0)=cos(x) and also has periodic boundary conditions given by F{H{f(x′,t)}}=i⋅sgn(k)F{f(x,t)}, where F(f(x,t) is fourier transform of f(x,t).

and here ''t'' runs from 0 to 1.3 seconds

so I think we have to use iterations on basis of 't' while solving this equation.

And suggestions are highly appreciated.