Matlab Solving Differential Equation using Runge Kutta
1 visualización (últimos 30 días)
Mostrar comentarios más antiguos
clc;
h = 50;
x = 0: h: 0.025;
w = 3553.6312;
M = 110.361;
f = 0.02;
A = 24;
Cd = 0.32;
P = 1925.637;
F = 16.80444124;
x(1) = 700; % initial condition
F_yx = @(y, x)(P - f.*w - 0.00118.*Cd * A * y ^ 2) / (M); % function
for i = 1: (length(x) - 1) % calculation loop
k_1 = F_xy(x(i), xy(i));
k_2 = F_xy(x(i) + 0.5 * h, y(i) + 0.5 * h * k_1);
k_3 = F_xy((x(i) + 0.5 * h), (y(i) + 0.5 * h * k_2));
k_4 = F_xy((x(i) + h), (y(i) + k_3 * h));
y(i + 1) = y(i) + (1 / 6) * (k_1 + 2 * k_2 + 2 * k_3 + k_4) * h; % main equation
end
syms y(x)
ode = diff(y, x) - F * y == 0;
ySol(x) = dsolve(ode);
fimplicit(y(x))
0 comentarios
Respuestas (1)
James Tursa
el 25 de Oct. de 2019
In this line:
k_1 = F_xy(x(i), xy(i));
You've got xy(i) as an argument, but there is no xy variable. I think you meant y(i) here.
In this line:
F_yx = @(y, x)(P - f.*w - 0.00118.*Cd * A * y ^ 2) / (M); % function
You've got the order of the inputs as (y,x), but in your downstream code you have the order of the inputs as (x,y). Change your function to use the (x,y) order.
This initial condition:
x(1) = 700; % initial condition
I suspect should apply to y(1), not x(1). You already have the x vector defined above.
0 comentarios
Ver también
Categorías
Más información sobre Ordinary Differential Equations en Help Center y File Exchange.
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!