TITLE:
Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
AUTHORS:
Maria B. Pintarelli
KEYWORDS:
Generalized Moment Problem, Integral Equations, Inverse Problem, Parabolic PDEs, Truncated Expansion Method
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.3,
March
26,
2018
ABSTRACT: The problem is to considerer a parabolic equation depending on a coefficient a (t), and find the solution of the equation and the coefficient. The objective
is to solve the problem as an application of the inverse moment problem. An
approximate solution and limits will be found for the error of the estimated
solution using the techniques of inverse problem moments. In addition, the
method is illustrated with several examples.