Questions tagged [differential-equations]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
3
votes
0answers
343 views

MATLAB: solving multiple ODE systems in parallel

I have a system of parameterized ODEs that I would like to solve using MATLAB and its ode45 solver, and was wondering if it is possible to perform such a task in ...
3
votes
2answers
2k views

Small errors accumulate while solving ODE of motion

I'm trying to solve the ODE of motion: $$ \begin{align} x''=&\ -myu \frac{x}{r^3} \left(1+\frac{3}{2} {J_2} \left(\frac{{r_{\text{eq}}}}{r}\right)^2 \left(1-\frac{5z^2}{r^2}\right)\right) \\ ...
0
votes
1answer
163 views

Numerical solution of nonlinear thermoconductivity equation

I have to find and plot a numerical solution for the following equation (I have to write a solver): $$u_{t} = (u^2 u_x)_x$$ with the following conditions $u(0,t) =0, u(1,t) = \sqrt{\frac{2c-2}{t}}, u(...
1
vote
2answers
202 views

Can Runga-Kutta method be used to solve non-linear differential equations?

Consider two-body central force problem in polar co-ordinates $r,θ$. Corresponding 2nd order differential equation is obtained by using conservation of angular momentum. This equation is : $ d^2r/dt^...
3
votes
1answer
83 views

Finding Numerical Stability of Simple System with Integral Term Due to Low Pass Filter

As a toy problem, I was looking at a classical second order system of the following form: \begin{align} \ddot{x}(t) + c \dot{x}(t) + k x(t) = 0 \end{align} Instead of the basic system above, I want ...

1 2
3