Solving a linear ode in matlab using RK method of order 4 and 5

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solving this linear ode. I'm a beginner in matlab so provide a code for system of equations.solving a linear ode in matlab using RK method of order 5.provide a MATLAB code for my system of ode's $$dx/dt= lambda-sigma*x(t)-c*v(t),\ dv/dt= k*v(t)-a*z(t),\ dz/dt= h*x(t)-tau*v(t)$$ with initial conditions $x(0)=x_0$, $ v(0)=v_0$, $ z(0)=z_0$. Where $lambda = 0.25$, $sigma= 0.0028$, $c=0.013$, $k=0.0065$, $a=0.0013$, $h= 0.0000006$, $tau=0.0000085$, $v=0.00045$.




differential-equations




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    Is it order 4 or order 5? Do you have a link to a Butcher tableau that represents the method? Use the search field for [matlab] rk4 here and on stackoverflow for other examples.
    – LutzL
    Jul 22 at 18:26










  • Or do you want to use the matlab solver ode45 which implements an embedded RK method of orders 4 and 5?
    – LutzL
    Jul 22 at 18:29










  • Yes to be solved using ode 45 sir.
    – Sugny
    Jul 22 at 18:31










  • Have you read the documentation and studied the examples there? If you search for ode45 and systems you should find many examples.
    – LutzL
    Jul 22 at 18:34










  • They have applied fitting method in matlab to solve this equation.
    – Sugny
    Jul 25 at 17:53















up vote
0
down vote

favorite












solving this linear ode. I'm a beginner in matlab so provide a code for system of equations.solving a linear ode in matlab using RK method of order 5.provide a MATLAB code for my system of ode's $$dx/dt= lambda-sigma*x(t)-c*v(t),\ dv/dt= k*v(t)-a*z(t),\ dz/dt= h*x(t)-tau*v(t)$$ with initial conditions $x(0)=x_0$, $ v(0)=v_0$, $ z(0)=z_0$. Where $lambda = 0.25$, $sigma= 0.0028$, $c=0.013$, $k=0.0065$, $a=0.0013$, $h= 0.0000006$, $tau=0.0000085$, $v=0.00045$.




differential-equations




share|cite|improve this question

















  • 1




    Is it order 4 or order 5? Do you have a link to a Butcher tableau that represents the method? Use the search field for [matlab] rk4 here and on stackoverflow for other examples.
    – LutzL
    Jul 22 at 18:26










  • Or do you want to use the matlab solver ode45 which implements an embedded RK method of orders 4 and 5?
    – LutzL
    Jul 22 at 18:29










  • Yes to be solved using ode 45 sir.
    – Sugny
    Jul 22 at 18:31










  • Have you read the documentation and studied the examples there? If you search for ode45 and systems you should find many examples.
    – LutzL
    Jul 22 at 18:34










  • They have applied fitting method in matlab to solve this equation.
    – Sugny
    Jul 25 at 17:53













up vote
0
down vote

favorite









up vote
0
down vote

favorite











solving this linear ode. I'm a beginner in matlab so provide a code for system of equations.solving a linear ode in matlab using RK method of order 5.provide a MATLAB code for my system of ode's $$dx/dt= lambda-sigma*x(t)-c*v(t),\ dv/dt= k*v(t)-a*z(t),\ dz/dt= h*x(t)-tau*v(t)$$ with initial conditions $x(0)=x_0$, $ v(0)=v_0$, $ z(0)=z_0$. Where $lambda = 0.25$, $sigma= 0.0028$, $c=0.013$, $k=0.0065$, $a=0.0013$, $h= 0.0000006$, $tau=0.0000085$, $v=0.00045$.




differential-equations




share|cite|improve this question













solving this linear ode. I'm a beginner in matlab so provide a code for system of equations.solving a linear ode in matlab using RK method of order 5.provide a MATLAB code for my system of ode's $$dx/dt= lambda-sigma*x(t)-c*v(t),\ dv/dt= k*v(t)-a*z(t),\ dz/dt= h*x(t)-tau*v(t)$$ with initial conditions $x(0)=x_0$, $ v(0)=v_0$, $ z(0)=z_0$. Where $lambda = 0.25$, $sigma= 0.0028$, $c=0.013$, $k=0.0065$, $a=0.0013$, $h= 0.0000006$, $tau=0.0000085$, $v=0.00045$.





differential-equations





share|cite|improve this question












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edited Jul 22 at 19:34
























asked Jul 22 at 18:23









Sugny

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11







  • 1




    Is it order 4 or order 5? Do you have a link to a Butcher tableau that represents the method? Use the search field for [matlab] rk4 here and on stackoverflow for other examples.
    – LutzL
    Jul 22 at 18:26










  • Or do you want to use the matlab solver ode45 which implements an embedded RK method of orders 4 and 5?
    – LutzL
    Jul 22 at 18:29










  • Yes to be solved using ode 45 sir.
    – Sugny
    Jul 22 at 18:31










  • Have you read the documentation and studied the examples there? If you search for ode45 and systems you should find many examples.
    – LutzL
    Jul 22 at 18:34










  • They have applied fitting method in matlab to solve this equation.
    – Sugny
    Jul 25 at 17:53













  • 1




    Is it order 4 or order 5? Do you have a link to a Butcher tableau that represents the method? Use the search field for [matlab] rk4 here and on stackoverflow for other examples.
    – LutzL
    Jul 22 at 18:26










  • Or do you want to use the matlab solver ode45 which implements an embedded RK method of orders 4 and 5?
    – LutzL
    Jul 22 at 18:29










  • Yes to be solved using ode 45 sir.
    – Sugny
    Jul 22 at 18:31










  • Have you read the documentation and studied the examples there? If you search for ode45 and systems you should find many examples.
    – LutzL
    Jul 22 at 18:34










  • They have applied fitting method in matlab to solve this equation.
    – Sugny
    Jul 25 at 17:53








1




1




Is it order 4 or order 5? Do you have a link to a Butcher tableau that represents the method? Use the search field for [matlab] rk4 here and on stackoverflow for other examples.
– LutzL
Jul 22 at 18:26




Is it order 4 or order 5? Do you have a link to a Butcher tableau that represents the method? Use the search field for [matlab] rk4 here and on stackoverflow for other examples.
– LutzL
Jul 22 at 18:26












Or do you want to use the matlab solver ode45 which implements an embedded RK method of orders 4 and 5?
– LutzL
Jul 22 at 18:29




Or do you want to use the matlab solver ode45 which implements an embedded RK method of orders 4 and 5?
– LutzL
Jul 22 at 18:29












Yes to be solved using ode 45 sir.
– Sugny
Jul 22 at 18:31




Yes to be solved using ode 45 sir.
– Sugny
Jul 22 at 18:31












Have you read the documentation and studied the examples there? If you search for ode45 and systems you should find many examples.
– LutzL
Jul 22 at 18:34




Have you read the documentation and studied the examples there? If you search for ode45 and systems you should find many examples.
– LutzL
Jul 22 at 18:34












They have applied fitting method in matlab to solve this equation.
– Sugny
Jul 25 at 17:53





They have applied fitting method in matlab to solve this equation.
– Sugny
Jul 25 at 17:53
















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