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Solving two PDEs simultaneously in Matlab
HI I am trying to solve two partial differential equation simultaneously in matlab, but getting error, pl help
clc
clear all
m=50;
delx=1/(m-1);
h_int=0.0005e7;
final_time=1e7;
N_samples=(final_time/h_int)+1;
t0=0;
tf=final_time;
p_mat=zeros(m,N_samples);
p_mat(:,1)=2*10^5;
[t,p_mat] = ode15s(@GH,[t0 tf],p_mat(:,1));
T_mat=zeros(m,N_samples);
T_mat(:,1)=273;
[t,T_mat] = ode15s(@GH,[t0 tf],T_mat(:,1));
plot(t, p_mat); xlabel('time'),ylabel('pressure'); plot(t, T_mat); xlabel('time'),ylabel('Temp'); %% function F_X= GH(t,p,T)
m=50; delx=1/(m-1); F_X=zeros(m,2); dp_dt(i)=zeros(m,1); dT_dt(i)=zeros(m,1); % F_X = zeros(m,1); % for i=1 and m k=0.9810^-12; mu=0.001; phi=0.4; K1=k/((1-phi)mu); K2=1; pg=210^5; ph=3010^5; p(1)=pg; p(m)=ph; T(1)=273; T(m)=283; for i=2:m-1 dp_dt(i)=K1*((p(i+1)-2p(i)+p(i-1))/(delx)^2);% K1 is k/(1-phi)mu dT_dt(i)=K2((T(i+1)-2T(i)+T(i-1))/(delx)^2); F_X=[dp_dt(i) dT_dt(i)]'; end end