Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical methods for reconstruction of source term of heat equation
  from the final overdetermination   This paper deals with the numerical methods for the reconstruction of source
term in linear parabolic equation from final overdetermination. We assume that
the source term has the form f(x)h(t) and h(t) is given, which guarantees the
uniqueness of the inverse problem for determining the source term $f(x)$ from
final overdetermination. We present the numerical methods for both free
boundary and Neumann boundary situations. Moreover, we show that the solution
of the boundary conditions problem has the form of the free boundary solution
problem by using the extension method. Numerical experiments are done for the
inverse problem with the boundary conditions.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat