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Help with ODE solving using RK method in Matlab
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I have the following ode
$idot{x_n}(t)=-x_{n+1}(t)-x_{n-1}(t)+g~ x_n(t)$ with I.C. $phi(0)=-2cos(2.5)$ and $g=1$.
where $dot{x_n}=frac{dx_n}{dt}$, $n$ are discrete points in space, and $x$ is the value of field on each point.
However, I am unable to produce desired plot of $x_n$ (at a fixed time) along y-axis vs $n$ on x-axis.
I am trying to solve it via Matlab ODE45 but unable to get around it. We could take say $-5leq nleq5$, i.e., 11 total space points to start. Thanks
differential-equations numerical-methods matlab
asked 22 hours ago
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up vote
-1
down vote
favorite
I have the following ode
$idot{x_n}(t)=-x_{n+1}(t)-x_{n-1}(t)+g~ x_n(t)$ with I.C. $phi(0)=-2cos(2.5)$ and $g=1$.
where $dot{x_n}=frac{dx_n}{dt}$, $n$ are discrete points in space, and $x$ is the value of field on each point.
However, I am unable to produce desired plot of $x_n$ (at a fixed time) along y-axis vs $n$ on x-axis.
I am trying to solve it via Matlab ODE45 but unable to get around it. We could take say $-5leq nleq5$, i.e., 11 total space points to start. Thanks
differential-equations numerical-methods matlab
asked 22 hours ago
AtoZ
135
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
I have the following ode
$idot{x_n}(t)=-x_{n+1}(t)-x_{n-1}(t)+g~ x_n(t)$ with I.C. $phi(0)=-2cos(2.5)$ and $g=1$.
where $dot{x_n}=frac{dx_n}{dt}$, $n$ are discrete points in space, and $x$ is the value of field on each point.
However, I am unable to produce desired plot of $x_n$ (at a fixed time) along y-axis vs $n$ on x-axis.
I am trying to solve it via Matlab ODE45 but unable to get around it. We could take say $-5leq nleq5$, i.e., 11 total space points to start. Thanks
differential-equations numerical-methods matlab
asked 22 hours ago
AtoZ
135
I have the following ode
$idot{x_n}(t)=-x_{n+1}(t)-x_{n-1}(t)+g~ x_n(t)$ with I.C. $phi(0)=-2cos(2.5)$ and $g=1$.
where $dot{x_n}=frac{dx_n}{dt}$, $n$ are discrete points in space, and $x$ is the value of field on each point.
However, I am unable to produce desired plot of $x_n$ (at a fixed time) along y-axis vs $n$ on x-axis.
I am trying to solve it via Matlab ODE45 but unable to get around it. We could take say $-5leq nleq5$, i.e., 11 total space points to start. Thanks
differential-equations numerical-methods matlab
differential-equations numerical-methods matlab
asked 22 hours ago
AtoZ
135
asked 22 hours ago
AtoZ
135
asked 22 hours ago
AtoZ
135
asked 22 hours ago
AtoZ
135
asked 22 hours ago
AtoZ
135
135
add a comment |
add a comment |
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