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Runge kutta method matlab

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Gerard Rojo
Gerard Rojo 2020-9-19
编辑： Wan Ji 2021-8-20
Hello,
I am trying to make a runge-kutta code that solves a coupled ode by taking initial values (x0 and y0). Can you please guide me on this
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Gerard Rojo
Gerard Rojo 2020-9-19
I forgot to mention i haven't plotted x and y values for all 20 initial conditions. I have only done it for first 10 initial conditions.
the cyclist
the cyclist 2020-9-19
I don't have a solution to your main question, but just wanted to point out that you can do all 20 plots with this one line of code:
figure;
plot(x_rk', y_rk','y', 'MarkerSize',5);

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Wan Ji
Wan Ji 2021-8-20
编辑：Wan Ji 2021-8-20
Use arrayfun to obtain your solutions and Plot them!
x0y0 = [20x2] array?
tspan = [0:dt:t_end];
[tsol, xysol] = arrayfun(@(i) ode45(@odefun, tspan, x0y0(i,:)), 1:20, 'uniform', false);
arrayfun(@(i)plot(xysol{i}(:,1), xysol{i}(:,2),'b'), 1:20);

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