# Questions tagged [wave-equation]

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### Solving a 3+1D Wave Equation

I am having some problems with finding the solution to the magnetic field, B[x,y,z,t]. Is there anything I can change to my code to obtain a solution of B[x,y,z,t] with the initial conditions and ...
102 views

### differential wave equations [closed]

By seeking a solution of ∂u ∂t = c 2 ∂ 2u ∂x 2 in the form u(x,t) = X(x)T(t), obtain and solve ordinary differential equations satisfied by X(x) and T(t). Hence write down possible solutions for u(x,t)...
74 views

### Solving equation using mathematica

How I can solve the equation : $$R -\tan^{-1}[(m1/m3)*(k3/k1)] - \tan^{-1}[(m1/m2)*(k2/k1)]=0$$ I tried on it using findroot as following : ...
579 views

### How should I define the boundary conditions of free end and fixed end scenarios for 1D Wave Equation?

The 1D wave equation is $$\frac{\partial^2 u(x,t)}{\partial t^2} = c^2 \frac{\partial^2 u(x,t)}{\partial x^2}$$ where $c$ is the wave speed, $c^2=E/\rho$, $E$ is the Young's modulus and $\rho$ is the ...
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### Solving equation by mathematica and Finding value of b in an equation

I have an equation and I have tried solving it to find values of b but it doesn't give me any values The equation that I have tried to solve is : ...
554 views

### Using Neumann boundary conditions for the wave equation

I have the following code to solve the wave equation in 2D: ...
253 views

### Simulating a gaussian pulse for the wave equation

In the process of investigating diffraction of waves, I am starting with a simple problem consisting in injecting a gaussian pulse at the boundary x=0 of a square domain and then solving the wave ...
71 views

### How do I add a velocity boundary condition with specific time period

I have a wave equation for displacement and velocity, I want to add this boundary condition $v(x=0,\,t>0)=1$ My mathematica code is ...
I'm trying to solve the spherically symmetric wave equation $$0 = (\partial_t^2 - \partial_r^2 + 1)\phi(t,r)\,,$$ where $\phi(t,0) = 0$. Without doing anything fancy, we can solve this equation "...