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Shooting Method Boundary Conditions not Implementing

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Mayokun Ojediran
Mayokun Ojediran 2019-7-3
Hello, I am trying to implement the shooting method for in the cods shown.
function Shooting_Method_code1
clc
clear all
x = [0.5 0.5];
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]);
[t,u] = ode45(@equation, [0,1], [1 x(1) 0 0 x(2)], options);
s = length(t);
F = [u(s,1)-1, u(s,4)-0];
figure(1)
plot(t,u(:,1), t, u(:,4))
end
function dy = equation(t,y)
n = 0.4;
Bo = 0.01322917839;
dy = zeros(5,1);
dy(1) = y(2);
dy(2) = ((2*n+1)*y(3)*y(2)*Bo^(2/(n+1))/(n+1))/0.2e1;
dy(3) = y(4);
dy(4) = y(5);
dy(5) = ((-y(4)^2*n+2*y(3)*y(5)*n+2*y(1)*n-y(4)^2+y(3)*y(5)+2*y(1))/y(5)^(n-1)/n/(n+1))/0.2e1;
end
The graphs for are not taking the form they're supposed to take. It's a Boundary layer equation.
3 initial conditions are given: eta=0, f(0)=0, f'(0)=1,theta(0)=1
The boundary conditions that needs to be satisfied are: f'(eta=inf)= 0 and theta(eta=inf)=0 as eta=inf.
Any Help would be greatly appreciated.

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