I've encountered a problem while trying to use the answer from a NDSolve in two separate plot commands. To illustrate the problem, I'll use a simple differential equation and only one plot command. If I write something like this: {Plot[x[t], {t, 0, 10}], x[4]} /. NDSolve[{x'[s] == - x[s], x[0] == 1}, x, {s, 0, 10}] It solves the equa...
I am working on a project (C# and .NET Framework) which requires me to solve some partial differential equations. Are there any specific libraries based on .NET Framework that I could see and make my work simpler? I have worked with MATLAb and solving partial differential equations is very straightforward there. How can I solve this pro...
I'm implementing a series of Partial Differential Equations solver / numerical algorithms. I'm trying to figure out what algorithms can be easily discretized + solved as linear systems. Anyone have pointeres to books / articles on this? Thanks! ...
hi every one! when i solve numerically a system of two differential equations: s1:=diff(n[Di](t), t)=...; s2:=diff(n[T](t), t)=...; ics:={...}; #initial condition. sys := {s1, s2, ics}: sol:=dsolve(sys,numeric); with respect to "t",then the solution (for example)for "t=4" is of the form, sol(4): [t=4, n1(t)=const1, n2(t)=const2]. ...
i have a problem. that is : y"^2 + 2*y'+ 3*y = sin(x), y'(0)=0, y(0)=1 I want solve this problem with MATLAB but I can't. Can you help me ? ...
hi, i am solving a system of ordinary differential equations using the odeint function. Is it possible (and if yes how) to parallelize easily this kind of problem? ...
I'm trying to develop a physics simulation and I want to implement a fourth-order symplectic integration method. The problem is that I must be getting the math wrong, since my simulation is not working at all when using the symplectic integrator (as compared to a fourth-order Runge-Kutta integrator that works reasonably well for the simu...
Hi all, I have the following ODE: b'(t) + k16*b(t) = k15*a(t) where k15 and k16 are constants. Any idea on how to solve it? Thanks! Amit ...
Okay, I have this not so pretty 2nd order non-linear ODE I should be able to solve numerically. f''(R)+(2/R)f'(R)=(.7/R)((1/sqrt(f))-((0.3)/sqrt(1-f))), f'(0)=1, f(1)=1 I was thinking of breaking this guy up into a system of two first order ODE's and then solve, but I have no idea how to set this up. What method should I use to set up ...
Hi, I'm trying to solve this non-linear differential equation using substitution y/x to t. However, I can't solve this equation. xy' = (y/x)^3 + y How to solve this equation and what's the general solution? Thanks. ...