MathGroup Archive 2007

[Date Index] [Thread Index] [Author Index]

Search the Archive

Hysteresis in pde/ode


I am trying to solve a two-space-dimensional and one time-dimension
PDE for a displacement variable u(r,z) , something like c*d^2u/dt^2 =
d^2(ru)/dr^2 + d^2u/dz^2 + f(u,t) where f(u,t) is a hysteresis term
that accounts for the fact that if (du/dt) > its neighbor's values
del^2(du/dt) < 0 then f=+1 and if del^2(du/dt) > 0 then f=-1.  This is
a sort of binary link with its neighbors.  Are there any similar
problems out there from which I might get some guidance for solving
this numerically?  Other than this, the problem is simple in that the
boundary conditions are fixed values at finite distance.

Thanks



  • Prev by Date: Re: ListPlot3D on 3 by 3 Arrays
  • Next by Date: Re: activate more than one core in Mathematica 6.0 (for win)?
  • Previous by thread: Re: Integro-differential analog of Love's equation via power series
  • Next by thread: question about Mathematica integration function