TITLE:
Parabolic Partial Differential Equations as Inverse Moments Problem
AUTHORS:
Maria B. Pintarelli
KEYWORDS:
Parabolic PDEs, Freholm Integral Equations, Generalized Moment Problem
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.1,
January
25,
2016
ABSTRACT: We considerer parabolic partial differential equations under the conditions on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse moments problem. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on moments problem. Also we consider the one- dimensional one-phase inverse Stefan problem.