Electronic Journal of Differential Equations
16th Conference on Applied Mathematics, Univ. of Central Oklahoma,
Electron. J. Diff. Eqns., Conf. 07, 2001, pp. 3945.
Approximating parameters in nonlinear reaction diffusion equations
Robert R. Ferdinand
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 leastsquares 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.
Subject lassfications: 65N21, 65N30, 65N12, 35K05, 35K55, 35K57.
Key words:Parameter estimation, inverse problem, Galerkin,
reactiondiffusion equation.
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Robert R. Ferdinand
Department of Mathematics
East Central University
Ada, OK 748206899 USA
email: robert.ferdinand@ecok.edu 
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