# Questions tagged [boundary-condition-at-infinity]

Tag for differential equations satisfying boundary conditions at infinity, or with open boundary conditions, or defined on an unbounded domain.

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### Solve Differential Equation Numerically

I investigated my system and encountered differential equation such as $y''(x) = e^{y(x)}-e^{-2y(x)}-e^{y(x)-y(x+d)}$, where $d$ is a constant. The boundary condition is $y'(0) = 30$ $y'(\infty)=0$. I ...
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### solving a system of partial differential equations

My naive code looks like the one in the picture My problem is when I run it, I dont get any result. No error is thrown my way either. I just get a typesetted version of the NDSolve command. How do I ...
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### Numerical solution of a nonlinear PDE that develops a growing piecewise linear region

I am trying to improve the numerical solution of some PDEs that develop a piecewise behavior during their evolution. The simplest example of one such PDE is for a function $u(t,x)$ with $t \in [-T,T]$ ...
1 vote
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### Plotting of graph after solving system of ODEs using NDSolve command

In the present question, I am trying to solve a system of ODEs with corresponding boundary conditions. After that, I tried to find Q, which is firstly dependent on z and then on M. Then, after using ...
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### Non-minimal coupling ξ , Minkowski false vacuum decay case (shooting method) (An update to the previous question)

I asked a few days ago this question: Non-minimal coupling ξ - numerical bounce solutions (shooting method, false vacuum decay) Alex Trounev helped me improve my code building based on this paper (...
1 vote
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### Non-minimal coupling ξ - numerical bounce solutions (shooting method, false vacuum decay)

I have the potential below: $$V(\phi)=-\frac14 a^2(3b-1)\phi^2+\frac12 a(b-1)\phi^3+\frac14 \phi^4 +a^4c$$ This potential has 2 minima, the false vacuum $\phi_f=0$ which tunnels to the global minimum, ...
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### How do I pose Neumann boundary condition to suppress particles flux into zero point?

This is continuation from my previous post How to ensure for a solution of NDSolve to be positive? [https://mathematica.stackexchange.com/questions/278777/how-to-...
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### Analytical solution of second order linear differential equation with boundary at infinity

I am a new user to Mathematica and I would like to solve a simple second-order differential equation as follow: $y''[x]+\frac{(D-1)}{x}\times y'[x]=k\times y[x]$, where $D$ and $k$ are just two ...
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### NDsolve to solve Nonlinear Schrödinger or Gross–Pitaevskii Equation?

I am trying to used NDsolve to solve Nonlinear Schroedinger Equation: ...
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### Solving an ODE with parameters and taking the limit of the solution

I am very new to Mathematica and already spent a lot of time trying to do this but failed. I am trying to solve an ODE: ...
1 vote
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### How to solve this nonlinear boundary value problem?

I am new to Mathematica (or computations for that matter), can one please tell me how to solve these coupled differential equations, with boundary conditions on infinity, using NDsolve? ...
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### How do I enforce this boundary condition?

I am solving this differential equation: (1 - 2 M/r) D[(1 - (2 M)/r) D[q[r], r], r] - (1 - 2 M/r) ((l (l + 1))/r^2 - (6 M)/r^3) q[r] with the boundary conditions ...
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### Trouble with the shooting method for boundary value problem of a 4th-order ODE

This is a question about the fluid mechanics equation, which is solved by a similarity solution ($f(t)$, here). I'm trying to solve the following boundary value problem with shooting method (taken ...
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### Coupled second order differential equation with NDSolve

I am trying to solve a 2nd order ODE to reproduce a plot. Here are the equations: ...
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### Analytical Solution to Laplace over Irregular Domain using DSolve

I would like to find an analytical solution to a Laplace equation over the following irregular domain using a mix of Dirichlet and Neumann boundary conditions. I've spent a lot of time trying to use ...
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### Fix boundary condition at infinity

I am working with this complicated PDE: ...
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### How to plot this BVP using shooting technique there is a problem in selecting the initial guess

I am trying to solve the flow and heat transfer problem. I am using the following code ...
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