Without knowing your equations, it is impossible to say for certain, but MATLAB
function pdepe is designed to solve systems of PDE like the one you
describe. Take a look at this documentation page:
http://www.mathworks.com/help/matlab/ref/pdepe.html
Bill
"Manish" wrote in message <l20vsi$t97$1@newscl01ah.mathworks.com>...
> Which course did you took to solve problems like these ? If you can tell me the textbooks, I will refer to your textbooks sir.
>
> Thanks,
> Manish
>
> TideMan <mulgor@gmail.com> wrote in message <40750210f192447c940ce4b911c8552c@googlegroups.com>...
> > On Thursday, September 26, 2013 7:43:08 PM UTC+12, Manish wrote:
> > > "Nasser M. Abbasi" wrote in message <l20k26$g43$1@speranza.aioe.org>...
> > >
> > > > On 9/26/2013 12:54 AM, Manish wrote:
> > >
> > > > > I am looking to solve 5 dependent partial differential equations and calculating
> > >
> > > > >5 variables in 2 dimensions (1 spatial and 1 time).
> > >
> > > > >
> > >
> > > > > Please tell me if the procedure I am following is right:
> > >
> > > > > 1. Specifying geometry in 1 D.
> > >
> > > > > 2. Initial Values
> > >
> > > > > 3. Meshing
> > >
> > > > > 4. Applying governing equations
> > >
> > > > > 5. Applying Boundary Values and solving.
> > >
> > > > >
> > >
> > > > > Can someone tell me what procedures should I be looking at, to solve the problem ?
> > >
> > > > >
> > >
> > > > > Regards,
> > >
> > > > > Manish
> > >
> > > > >
> > >
> > > >
> > >
> > > > FEM is normally used to solve elliptic type pde problems,
> > >
> > > > so for time dependent problems, you would need different time step
> > >
> > > > based integration method, then apply FEM again at the new time step,
> > >
> > > > and so on.
> > >
> > > >
> > >
> > > > i.e FEM is applied at each time instance, to obtain a solution
> > >
> > > > for that time instance, but need separate timedependent integration
> > >
> > > > to go to the next time step, using the state of the last time
> > >
> > > > step, and so on. i.e. marching in time step is separate from
> > >
> > > > solving using the FEM.
> > >
> > > >
> > >
> > > > But I am no expert on this, so I would suggest to use a good
> > >
> > > > textbook for these things.
> > >
> > > >
> > >
> > > > Nasser
> > >
> > > Dear Nasser,
> > >
> > >
> > >
> > > Thanks for your reply. You are right, FEM will work using numerical techniques.
> > >
> > > But how do I do the following in MATLAB:
> > >
> > > 1. Specifying geometry in 1 D
> > >
> > > 2. Initial Values
> > >
> > > 3. Meshing
> > >
> > > 4. Applying more than 4 interdependent governing equations
> > >
> > > 5. Applying Boundary Values and solving PDEs.
> >
> > I think you're asking a bit of much of this newsgroup.
> > I took a year's postgrad course to learn how to do this and you expect us to instruct you in a few lines?
> > Get a textbook or take a course, then come back here when you have formulated the numerical scheme and have a Matlab coding problem.
