system of two non linear second order equations

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chen 2015-1-3

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评论： Torsten 2015-1-5

Hi im having a problem for solving this set of equation and

i'm not that familiar with the ODE45 function in Matlab.

i would be glad if someone can help me with the following set of equations.

Thanks ,

Chen

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chen 2015-1-4

编辑：chen 2015-1-4

在 MATLAB Online 中打开

i have implemented the following for solving this system:

function xprime = Mirage(t,x);
k=2;
xprime=[x(1); k*(1-x(1).^2)./(1+k*x(2)); x(3) ; -(k*x(1)*x(3))./(1+k*x(2))];
end
x0=[1 1 1 1];
tspan=[0,20];
[t,x]=ode45(@Mirage,tspan,x0)

the program seems in infinite loop (Matlab stays"Busy"). where did i wrong?

Torsten 2015-1-5

I get

xprime=[x(2); k*(1-x(2)^2)/(1+k*x(1)); x(4) ; -(k*x(2)*x(4))/(1+k*x(1))];

for your system where x(1)=y, x(2)=y', x(3)=z, x(4)=z'.

Best wishes

Torsten.

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MATLAB Mathematics Numerical Integration and Differential Equations Ordinary Differential Equations

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