Parameter Estimation in Moving Boundary Problems

Abstract

We describe an approximation scheme which can be used to estimate unknown parameters in moving boundary problems. The model equations we consider are fairly general nonlinear diffusion/reaction equations of one spatial variable. Here we give conditions on the parameter sets and model equations under which we can prove that the estimates obtained using the approximations will converge to best-fit parameters for the original moel equations. We conclude with a numerical example. Keywords: Mathematical models; Reprints.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1988
Accession Number
ADA218901

Entities

People

  • K. A. Murphy

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Coefficients
  • Convergence
  • Differential Equations
  • Diffusion Coefficient
  • Equations
  • Inverse Problems
  • Mathematics
  • North Carolina
  • Scientific Research
  • Sequences
  • Topology

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Regression Analysis.
  • Statistical inference.