Electronic Journal of Differential Equations,
Conference 07 (2001), pp. 47-59.
Title: Approximating parameters in nonlinear reaction diffusion equations
Author: Robert R. Ferdinand (East Central Univ. Ada, OK, USA)
Abstract:
We present a model describing population dynamics in an
environment. The model is a nonlinear, nonlocal, reaction
diffusion equation with Neumann boundary conditions. An inverse
method, involving minimization of a least-squares cost functional,
is developed to identify unknown model parameters. Finally,
numerical results are presented which display estimates of these
parameters using computationally generated data.
Published July 20, 2001.
Math Subject Classifications: 65N21, 65N30, 65N12, 35K05, 35K55, 35K57.
Key Words: Parameter estimation, inverse problem, Galerkin,
reaction-diffusion equation.