Numerical methods for parameter identification in a convection-diffusion equation

Abstract

We use a recently developed Sinc-Galerkin method for the solution of non-self-adjoint equations to solve a parameter identification problem arising from the one-dimensional convection-diffusion equation. This method is well suited for unbounded domains and certain singularities in the coefficients, as we illustrate by several examples. Practical aspects of implementation of this method are considered in detail.