Shooting method for boundary value problems

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Aaditya
Aaditya 2019-3-11
回答： Basavaraj 2024-10-29
I use ODE45 and the shooting method to solve boundary value problems. There was a specific case in second order differential equations, where an unknown initial condition (which is to be found using shooting method) is a part of the expression of the second derivative, something like the following code. I want to know how to include it in the function and do I need to use any looping statements for it.
funtion dy = diffe(x,y)
l = 2;
p = 3;
dy = [y(2); p*x^2+2*y(1)+y0];
end
So in this code, value of dy/dx at x=0 is known but the value of y at x=0 is not known, but the value of y at x=1 (second boundary is known). This function is to be called like this:
funtion odesolver
dy0 = 0;
[x,y] = ode45(@diffe, [0 1], [y0, dy0]);
end
If someone can recommend a solution to this, that'll be very helpful.

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回答（1 个）

Basavaraj
Basavaraj 2024-10-29
funtion dy = diffe(x,y)
l = 2;
p = 3;
dy = [y(2); p*x^2+2*y(1)+y0];
end
funtion odesolver
dy0 = 0;
[x,y] = ode45(@diffe, [0 1], [y0, dy0]);
end

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