A problem of coefficient determination in parabolic equations solved as moment problem

20171006 https://doi.org/10.14419/ijamr.v6i4.8319 
Generalized Moment Problem, Integral Equations, Inverse Problem, Parabolic Pdes, Truncated Expansion Method. 
Abstract
The problem is to find a(t) y w(x; t) such that wt = a(t) (wx)x+r(x; t) under the initial condition w(x; 0) =fi(x) and the boundary conditions w(0; t) = 0 ; wx(0; t) = wx(1; t)+alfa w(1; t) about a region D ={(x; t); 0 <x < 1; t >0}. In addition it must be fulfilledÂ the integral of w (x, t) with respect to x is equal toÂ E(t) where fi(x) , r(x; t) and E(t) are known functions and alfa is an arbitrary real number other than zero.
The objective is to solve the problem as an application of the inverse moment problem. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on moments problem. In addition, the method is illustrated with several examples. 
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How to Cite
Pintarelli, M. B. (2017). A problem of coefficient determination in parabolic equations solved as moment problem. International Journal of Applied Mathematical Research, 6(4), 109114. https://doi.org/10.14419/ijamr.v6i4.8319Received date: 20170903
Accepted date: 20170929
Published date: 20171006