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When the solution, which describes the displaceable part of the equation

(i.e.

∂Y

∂t

+

V

∂Y

∂ξ

= 0)

, is obtained, it is possible to approximate the

“retrievable” distribution using the distribution

Y

(

ξ, η

)

. Then it is possible

to determine the average value

˜

Y

of function

Y

(

ξ

)

in different intervals:

for the interval

ξ

i

+1

/

2

− |

V

|

t, ξ

i

+1

/

2

, if

V >

0

:

˜

Y

L

i

+1/2

(

|

V

|

t

) =

1

Ψ

ξ

i

+1/2

Z

ξ

i

+1/2

Ψ

Y

(

ξ

)

=

Y

i

1

,j

+

+

ϕ

(

Y

i

1

)

 

F

2

,i

1

˜

ψ

2!

Δ

ξ

2

2

∂Y

∂ξ

i

1

F

3

,i

1

˜

ψ

3!

Δ

ξ

2

3

2

Y

∂ξ

2

i

1

2

3!

2

Y

∂ξ

2

i

1

Δ

ξ

2

3

F

4

,i

1

˜

ψ

4!

Δ

ξ

2

4

3

Y

∂ξ

3

i

1

F

5

,i

1

˜

ψ

5!

Δ

ξ

2

5

4

Y

∂ξ

4

i

1

,j

2

5!

4

Y

∂ξ

4

i

1

Δ

ξ

2

5

F

6

,i

1

˜

ψ

6!

Δ

ξ

2

6

5

Y

∂ξ

5

i

1

F

7

,i

1

˜

ψ

7!

Δ

ξ

2

7

6

Y

∂ξ

6

i

1

2

7!

6

Y

∂ξ

6

i

1

Δ

ξ

2

7

 

;

for the interval

ξ

i

+1/2

, ξ

i

+1/2

+

|

V

|

t

, if

V <

0

:

˜

Y

R

i

+1/2

(

|

V

|

t

) =

1

Ψ

ξ

i

+1/2

Z

ξ

i

+1/2

Y

(

ξ

)

=

Y

i

+

+

ϕ

(

Y

i

)

 

F

2

,i

˜

ψ

2!

Δ

ξ

2

2

∂Y

∂ξ

i

+

+

F

3

,i

˜

ψ

3!

Δ

ξ

2

3

2

Y

∂ξ

2

i

2

3!

2

Y

∂ξ

2

i

Δ

ξ

2

3

+

+

F

4

,i

˜

ψ

4!

Δ

ξ

2

4

3

Y

∂ξ

3

i

+

F

5

,i

˜

ψ

5!

Δ

ξ

2

5

4

Y

∂ξ

4

i,j

ISSN 0236-3941. HERALD of the BMSTU. Series “Mechanical Engineering”. 2014. No. 1 13