Numerical Procedures For The Determination Of An Unknown Coefficient In Semilinear Parabolic Differential-Equations

    Authors

    J. R. Cannon; Y. P. Lin;S. Z. Xu

    Comments

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    Abbreviated Journal Title

    Inverse Probl.

    Keywords

    INVERSE PROBLEM; PARAMETER; Mathematics, Applied; Physics, Mathematical

    Abstract

    We consider a finite difference approximation to an inverse problem of determining an unknown source parameter p(t) which is a coefficient of the solution u in a linear parabolic equation subject to the specification of the solution u at an internal point along with the usual initial boundary conditions. The backward Euler scheme is studied and its convergence is proved via an application of the discrete maximum principle for a transformed problem. Error estimates for u and p involve numerical differentiation of the approximation to the transformed problem. Some experimental numerical results using the newly proposed numerical procedure are discussed.

    Journal Title

    Inverse Problems

    Volume

    10

    Issue/Number

    2

    Publication Date

    1-1-1994

    Document Type

    Article

    Language

    English

    First Page

    227

    Last Page

    243

    WOS Identifier

    WOS:A1994NF91100004

    ISSN

    0266-5611

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