Plot multiple lines on the same plot at specific time points

16 vues (au cours des 30 derniers jours)
Jennifer Yang
Jennifer Yang le 25 Juil 2018
Hello,
I'm solving for a time dependent pde. I was wondering how do I plot multiple lines on the same plot at specific time points (ex. at t=0,0.01,0.1,1)?
function simple_time_dependent_pdepe
clear all; close all; clc;
D_ij = 1*10^-6; %Diffusion coefficient D (3.0*10^-7 cm^2/s -> 30 um^2/s)
L0 = 1; %c0 [nM]
x_f =0.02; %Length of domain [um]
maxt = 1; %Max simulation time [s]
m = 0; %Parameter corresponding to the symmetry of the problem
x = linspace(0,x_f,100); %xmesh
t = linspace(0,maxt,100); %tspan
sol = pdepe(m,@DiffusionPDEfun,@DiffusionICfun,@DiffusionBCfun,x,t,[]);
u = sol;
% Plotting
hold all
for n = linspace(1,length(t),10)
plot(x,sol(n,:),'LineWidth',2)
end
title('Time Dependent')
xlabel('Distance (\mum)')
ylabel('Concentration (nM)')
axis([0 x_f 0 L0])
function [c,f,s] = DiffusionPDEfun(x,t,u,dudx)
D = D_ij;
%Rate constants
k_1 = 0.25;
R_L = -k_1.*u;
% PDE
c = 1;
f = D_ij.*dudx;
s = R_L;
end
function u0 = DiffusionICfun(x)
u0 = 0;
end
function [pl,ql,pr,qr] = DiffusionBCfun(xl,ul,xr,ur,t)
c0 = L0;
pl = ul-c0;
ql = 0;
pr = 0;
qr = 1;
end
end

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