How to enter large functions in pdetool of MATLAB

Question

I am working with pdetool of MATLAB for solving certain parabolic pde. As you know there are prescribed format in pdetool for example in the parabolic case we have $$du^{'}+{\rm div}(c*{\rm grad}(u))+a*u=f$$
where the values of $d,c,a,f$ should be specified.

My question is that can we enter $f$ or other parameters as a MATLAB function?

for example Dirac delta or anything else.

Thanks a lot for your kind attention.

in the field for $f$ you should be able to enter a mathematical function (for example sin(x).*cos(y)) — GaussTheBauss, Feb 23 '16 at 20:39
I know, but I want to include more complex function that is programmed as m file — All, Feb 23 '16 at 21:22

score 1 · Accepted Answer · answered Feb 23 '16 at 21:28

1

Suppose you define a function $f(x,y) = y^2\tan(x)$ via

function fcn = fcn(x,y)

fcn = tan(x).*y.^2;

end

then when you solve the PDE, define $x$ and $y$ as symbolic variables, and do the following:

syms x y

c = 1;

a = 'x.*y'; % for example

f = 'fcn(x,y)';

d = 1;

u = parabolic(u0,tlist,model,c,a,f,d);

answered Feb 23 '16 at 21:28

GaussTheBauss

2,283

@All You are very welcome! – GaussTheBauss Feb 24 '16 at 00:24

How to enter large functions in pdetool of MATLAB

1 Answers1