Error in KPZ (line 13) surf(x,t,w)
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Dear friends. I am trying this but there is a problem in all "s"
What should I do in order to dial with this situation?
opts = odeset('RelTol',1e-8,'AbsTol',1e-8);
N=200; xi=0.02; xf=0.5; ti=1; tf=100; TIME=tf-ti;
%x=1:0.5:15;
%t=1:100:28800;
x = linspace(xi,xf,N);
t = linspace(ti,tf,200);
m = 0;
tic
sol = pdepe(m,@heat1D,@heatIC,@bcfun,x,t);
toc
w = sol(:,:,1);
surf(x,t,w)
xlabel('x')
ylabel('t')
zlabel('w(x,t)')
view([40 55])
%plot(w(200,:))
function [c,f,s] = heat1D(x,t,w,dwdx)
D=0.5; %0.2;
c = 1;
f = 1/2.*D*dwdx;
s = 100*dwdx.^2; %% NO NOISE
%s = 0.5*dwdx.^2 + 0.5/t; %%White
%s = 0.5*dwdx.^2 - 1/(x*sqrt(t)); %%Pink
%s = 3*dwdx.^2 - 0.1/(x*x); %%Brown
%s = -55/2*dwdx.^2 - 0.1*exp(-x*x/t)/t; %%Gauss
end
function w0 = heatIC(x)
%w0 =2;
w0=0.1*sin(2*x)+0.1*cos(2*x);
%w0=-0.5-0.3/(x+0.1)^2;
end
function[pl,ql,pr,qr]=bcfun(xl,ul,xr,ur,t)
pl = ul;
ql = 0;
pr = 0;
qr = 1;
end
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