Questions tagged [differential-equations]

Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.

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Path of moon orbiting the Earth [closed]

I'm trying to make an animation showing the path of the moon orbiting around the earth, but I'm having some trouble plotting it. For some reason, Mathematica doesn't give me any error messages but ...
61 views

How to make integrals of interpolated matrices constructed by other interpolated quantities?

I have the following code producing an interpolated unitary matrix: ...
62 views

Kolmogorov forward equation with Mixed Dirichlet Neumann problem

I am trying to solve symbolically the Kolmogorov forward equation for the transition probability p(x,y,t), viz, ...
167 views

1D-waveequation with absorbing boundary condition: FEM solution?

I try to simulate the special absorbing(?) boundary condition Derivative[1, 0][y][1, t] + Derivative[0, 1 ][y][1, t] == 0` which only allows energy flow in ...
57 views

Exclude a term in a differential equation

How can I exclude this term (The red box) from derivation to make it consider it as a constant (Just a constant to be multiplied ), I am getting the differentiation for the whole equation but I want a ...
92 views

Avoiding instability and missing boundary condition errors when solving a system of 3 differential equations

I am trying to solve this system of equations: dw(v,t)/dt =2g(v,t) w(t,v) g(t,v)= Pi/2 (v^2)d g0(v,t)/dt d go(v,t)/dt + d/dv[dw/dt *1/v^3)]=0 with initial ...
108 views

Functions can graph but can't solve for partial derivatives

First I got a function g[xo,yo] by solving a system of partial differential equations ...
99 views

Solving boundary value problem with coupled odes at interface

I am trying to get the eigenvalues of the following differential system ...
226 views

3D stable fluids algorithm to simulate transition from laminar to turbulent flow

This algorithm is 3D extension of our 2D algorithm published on this page and here. We suppose that with this code we can simulate transition from laminar to turbulent flow. In this example we compute ...