Modern
information technologies / 3. Software
Akmoldina Anara
Kostanay State University of A. Baitursynov,
Kostanay
Approximate method for
determining the coefficient of permeability
I
consider the problem of determining the coefficient of permeability of the
layer with data the part of the border. Proposing the iterative method, i prove
its convergence and write algorithm of implementation on a computer.
The problem with the return time
Coefficient
of piezoconductivity looking for iteratively. To do this, set the starting
value 
, and the following value 
is determined from the monotony of functional
Let the
solution with 
and 
solution of the same task with 
. Then the difference 
it turns out the task
(1.1)
(1.2)
where 
. The system (1.1)-(1.2) includes case, when 
.
Multiply (1.1) of
an arbitrary function 
and integrate all the internal points of 
. Then
Here are the
following notation
.
Suppose that 
. Then, given the initial-boundary conditions (1.1), we have the
equality
The first component
on the right side of the equal sign again to integrate by parts. That is
.
Collecting similar
values and given the boundary conditions of the (1.2), get
Assumes equality
for any 
from the field 
. Then
.