How do I use 'deval' or any equivalent kind in the code for shooting method using 'ode15s'
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Hello,
I need to find out the value of y(3),y(5), y(7) at x=0,
There is an option 'deval' eg. deval(sol,0), which I used in bvp4c solver, but I have no idea how to use it in this particular solver i.e ode15s
Following is my code:
function shooting_method
clc;clf;clear;
global lambda gama Pr Rd Lew Nb Nt Mn
gama=1;
Mn=1;
Rd=0.1;
Pr=10;
Nb=0.2;
Lew=10;
Nt=0.2;
lambda=0.5;
x=[1 1 1];
options= optimset('Display','iter');
x1= fsolve(@solver,x);
end
function F=solver(x)
options= odeset('RelTol',1e-8,'AbsTol',[1e-8 1e-8 1e-8 1e-8 1e-8 1e-8 1e-8]);
[t,u]= ode15s(@equation,[0 4],[0 1 x(1) 1 x(2) 1 x(3)],options)
s=length(t);
F= [u(s,2),u(s,4),u(s,6)];
%deval(0,u)
plot(t,u(:,2),t,u(:,4),t,u(:,6));
end
function dy=equation(t,y)
global lambda gama Pr Rd Lew Nb Nt Mn
dy= zeros(7,1);
dy(1)= y(2);
dy(2)= y(3)*(y(3)^2+gama^2)/(y(3)^2+lambda*gama^2);
dy(3)= y(2)^2/3-(2*y(1)*y(3)*(y(3)^2+gama^2))/(3*(y(3)^2+lambda*gama^2))+Mn*y(2);
dy(4)= y(5);
dy(5)= -(2*Pr*y(1)*y(5))/(3*(1+Rd)) - (Nb*y(5)*y(7))/(1+Rd) - (Nt*y(5)^2)/(1+Rd);
dy(6)= y(7);
dy(7)= -((2*Lew*y(1)*y(7))/3)+ (Nt/Nb)*((2*Pr*y(1)*y(5))/(3*(1+Rd)) + (Nb*y(5)*y(7))/(1+Rd) + (Nt*y(5)^2)/(1+Rd));
end
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