I am trying to solve fourth order differential equation by using finite difference method. I have 5 nodes in my model and 4 imaginary nodes for finite difference method. Therefore, I have 9 unknowns and 9 equations. I would like to write a code for creating 9*9 matrix automatically in MATLAB. But I am not sure how to create this matrix (9*9) automatically. I know that I need to create a loop but I do not know how to do that. I will be very glad for any help. Thank you very much in advance.
Hi why do not try to use more classical existing integrators such as ode45? The 4th order ode has simply to be converted in a system of 4 odes of first order.
Take a look at Lecture 10 here:
http://emlab.utep.edu/ee5390cem.htm
I think if you watch the video and look through the electronic notes, you will know what to do.
Hi Friend;
I adress U 2 Matlab codes: bvp4c and bvp5c for solving ODEs via finite difference method.My notes to ur problem is attached in followings, I wish it helps U.
if your diffeq is linear then you should look at my papers on "high precision FDM" in research gate. if it is 2D and also linear and you are interested in high precision solutions you should definitely look at my papers. particularly if your boundary might be curved.
best of luck
david
Dear sir,
how to solve the finite difference scheme given below.
kindly help me sir
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