I need to solve an integro differential equation in Matlab

I am trying to input a integro differential equation into matlab. I do not know what steps to take. I want to learn how to do this. It can be any integro differential equation for example could you help me with the Smoluchowski Equation?

The equation is attatched.

Really appreciate your help

[Torsten]

You should consult the literature about the methods commonly used to solve your equation.

As a second step, you can check whether the suggested methods can be implemented in MATLAB.

Best wishes

Torsten.

Answer 1

[Claudio Gelmi]

Take a look at this solver:

"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: http://cpc.cs.qub.ac.uk/summaries/AEQU_v1_0.html

Best wishes,

Claudio

[karthick james]

https://in.mathworks.com/matlabcentral/answers/384820-how-to-solve-fractional-nonlinear-integro-differential-equation-matlab

[Mohamad Arnaout]

The above technique could be used for a system of integro-differential equations?

Thanks in advance.