Mixed boundary condition in pdepe solver

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Deepa Maheshvare
Deepa Maheshvare 2019-10-29
编辑： Deepa Maheshvare 2019-10-30
I'm solving the following 1D convection diffusion system in pdepe solver.
I've to impose no-flux boundary condition at both left and rigth boundary.
function sol=main(Input)
format short
global D v
m = 0;
D = Input.D;
v = Input.v;
x = Input.xmesh;
t = Input.tspan;
sol = pdepe(m,@pdefun,@icfun,@bcfun,x,t)
function [g,f,s] = pdefun(x,t,c,DcDx)
g = 1;
f = D*DcDx;
s = -v*DcDx;
end
function c0 = icfun(x)
c0 = Input.c0;
end
I'm not sure how to implement the no-flux boundary condition according to the general form given here
Is it correct to re-write the BC: - vC + DdC/dx = 0
as
C -( D/v) dC/dx = 0
where p = C
q = -(1/v)
f = DdC/dx
Is the following correct?
function [pl,ql,pr,qr] = bcfun(xl,cl,xr,cr,t)
pl = cl;
ql = -1/v;
pr = cr;
qr = -1/v;
end
or
function [pl,ql,pr,qr] = bcfun(xl,cl,xr,cr,t)
pl = -cl;
ql = 1/v;
pr = -cr;
qr = 1/v;
end

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