How to Solve 13 ODEs simultaneously by ode45
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i need to solve 13 ODEs ,all are interdependent, i need to solve it using ode45 and tgen plot it but the error is it says index is more than 12
Any help on this is highly appreciated.
qgin=12;
c_g_in=[1 2 3 4 5 6 ];
c=zeros(13,1);
c_l_in=[1 3 5 7 3 5 ];
vg=27;
kla=[13 34 5 6 7 7 ];
vl=65;
m=[23 3 5 2 1 4];
ql=123;
v_max=[1 2 3 5 7 1];
for i=1:6
v(i)=-v_max(i).*c(i);
end
xp=45;
yxco=12;
yxh2=5;
mu=-v(1)*yxco-v(2)*yxh2;
kd=15;
c0=[1 2 3 0 0 0 0 0 0 2 5 6 13];
c0g=c0(1:6);
ngout=qgin*sum(c_g_in,'all')-kla(1)*((c(1)/m(1))-c(7))*vl-kla(2)*((c(2)/m(2))-c(8))*vl-kla(3)*((c(3)/m(3))-c(9))*vl+kla(4)*((c(10)/m(4))-c(4))*vl+kla(5)*((c(11)/m(5))-c(5))*vl+kla(6)*((c(12)/m(6))-c(6))*vl;
qgout=ngout*R*t/(sum((psat.*c0g),'all'));
f=@(t,c)[((qgin.*c_g_in(1)-qgout.*c(1))./vg)-kla(1).*(vl/vg).*((c(1)./m(1))-c(7)),
((qgin.*c_g_in(2)-qgout.*c(2))./vg)-kla(2).*(vl/vg).*((c(2)./m(2))-c(8)),
((qgin.*c_g_in(3)-qgout.*c(3))./vg)-kla(3).*(vl/vg).*((c(3)./m(3))-c(9)),
((qgin.*c_g_in(4)-qgout.*c(4))/vg)+kla(4).*(vl/vg).*((c(10)./m(4))-c(4)),
((qgin.*c_g_in(5)-qgout.*c(5))/vg)+kla(5).*(vl/vg).*((c(11)./m(5))-c(5)),
((qgin.*c_g_in(6)-qgout.*c(6))/vg)+kla(6).*(vl/vg).*((c(12)./m(6))-c(6)),
((ql/vl).*(c_l_in(1)-c(7))+kla(1).*((c(1)./m(1))-c(7))+v(1).*c(13)),
((ql/vl).*(c_l_in(2)-c(8))+kla(2).*((c(2)./m(2))-c(8))+v(2).*c(13)),
((ql/vl).*(c_l_in(3)-c(9))+kla(3).*((c(3)./m(3))-c(9))+v(3).*c(13)),
((ql/vl).*(c_l_in(4)-c(10))-kla(4).*((c(10)./m(4))-c(4))+v(4).*c(13)),
((ql/vl).*(c_l_in(5)-c(11))-kla(5).*((c(11)./m(5))-c(5))+v(5).*c(13)),
((ql/vl).*(c_l_in(6)-c(12))-kla(6).*((c(12)./m(6))-c(6))+v(6).*c(13)),
((ql/vl).*(-c(13).*xp)+mu.*c(13)-kd.*c(13))]
tspan=[0 600];
[t,c]=ode45(f,tspan,c0);
error is as follows
f =
function_handle with value:
@(t,c)[((qgin.*c_g_in(1)-qgout.*c(1))./vg)-kla(1).*(vl/vg).*((c(1)./m(1))-c(7));((qgin.*c_g_in(2)-qgout.*c(2))./vg)-kla(2).*(vl/vg).*((c(2)./m(2))-c(8));((qgin.*c_g_in(3)-qgout.*c(3))./vg)-kla(3).*(vl/vg).*((c(3)./m(3))-c(9));((qgin.*c_g_in(4)-qgout.*c(4))/vg)+kla(4).*(vl/vg).*((c(10)./m(4))-c(4));((qgin.*c_g_in(5)-qgout.*c(5))/vg)+kla(5).*(vl/vg).*((c(11)./m(5))-c(5));((qgin.*c_g_in(6)-qgout.*c(6))/vg)+kla(6).*(vl/vg).*((c(12)./m(6))-c(6));((ql/vl).*(c_l_in(1)-c(7))+kla(1).*((c(1)./m(1))-c(7))+v(1).*c(13));((ql/vl).*(c_l_in(2)-c(8))+kla(2).*((c(2)./m(2))-c(8))+v(2).*c(13));((ql/vl).*(c_l_in(3)-c(9))+kla(3).*((c(3)./m(3))-c(9))+v(3).*c(13));((ql/vl).*(c_l_in(4)-c(10))-kla(4).*((c(10)./m(4))-c(4))+v(4).*c(13));((ql/vl).*(c_l_in(5)-c(11))-kla(5).*((c(11)./m(5))-c(5))+v(5).*c(13));((ql/vl).*(c_l_in(6)-c(12))-kla(6).*((c(12)./m(6))-c(6))+v(6).*c(13));((ql/vl).*(-c(13).*xp)+mu.*c(13)-kd.*c(13))]
Error using odearguments (line 113)
Inputs must be floats, namely single or
double.
Error in ode45 (line 115)
odearguments(FcnHandlesUsed,
solver_name, ode, tspan, y0, options,
varargin);
Error in gshs (line 36)
[t,c]=ode45(f,tspan,c0);
2 件のコメント
James Tursa
2021 年 2 月 23 日
編集済み: James Tursa
2021 年 2 月 23 日
Please format your code so that it is readable. Also copy & paste the entire error message for us to read, including the offending line.
回答 (1 件)
James Tursa
2021 年 2 月 23 日
編集済み: James Tursa
2021 年 2 月 23 日
Your c0 has only 12 elements. It needs to have 13 elements.
5 件のコメント
James Tursa
2021 年 2 月 24 日
Most contributors here don't like to make assumptions about code ... especially when the entire code isn't shown and there are errors involved. We prefer to copy & run complete code that reproduces the error so that we can decipher for sure what is causing the error.
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