nblib.library.kz - /elib/library.kz/jurnal/d_2007_2/

2007. 2

REFERENCES

1. ., ., .

. , 2001. 148 c.

2. Verzhbitskaya I.S. The steady-state and dynamic analysis of a fixed-bed catalytic reactor // Proceeding of “International conference on non-linear dynamics”. Charkov, 2004. . 84-91.

3. ., .

// . 2005. 4. . 10-24.

4. Chemical Engineering. Oxford University Press. 1998. V. 2. 400 p.

5. ., ., . . : , 1989. 179 .

6. ., . . .: , 1981. 200 .

7. . . .: , 1977. 653 .

, 1-

. 1-

. ,

, .

.

. ,

. 27.03.07 .

. . , . .

. ,

.

3 3

1 1 1 1 1

0 ˆ , 1, 0, 0 ,

n n n n n n

t x x h h h h

v v v f l v l v (1)

1

1 1

1

ˆ 0, ( ,1) 0.

h

N

n n

t h

k

div v h (2)

, – , B – v.

. 0 ,

,

, ⁰ ₀

0 0

Sh

n

h v

x v

v (3)

( -

) . , 0, 0,

( ). -

[4] -

, (5.1), (5.2) -

y

yt .

(1)–(3). ⁿ¹ vⁿ¹ v,

1

1 n

n n1 n1

1

1 1 1

1

ˆ 0, ( ,1) 0,

h

N

n n n

t h

k

div v h (5) 0

) 1 ( , ,

0

, 2

4

0 0

0 0

0

Sh

v n

v . (6)

D – , L₂( _h),

uD

uD

u Du, )

( . ^* 0,

u2

, )

,

( ²

1 1 2 0

2 u u u

u (7) 1

,

0 ₁

0 – .

1. ^* ₀v² v², -

)

0(

. 1 ),

( ^{2 2}

2 2 1

2 1 2

1 ⁿ q ^{n n} q

n

. (1) 2 v^{n 1}h³, 2 h^{2 n 1}, .

. 0 ) , ( 2 2

2 1 2 1

12

2 1 2 1

2 1 12

n n n

n n

n

n n

n n n

l (8)

. ,

) ,

( v v ₁v_{1 0} v² v²

v (9)

(8):

1 1 1

1 1 1 1

, , ,

( ), ( ) ,

n n n n n n n n

n n n n n n n

l l l

l l

2 2 2

1 1 1 1 1 0 1

0 1

1 .

4 2

n n n n n n n n

C

n

(9)

1 2 1

1 n

n C .

2 2 2 2 2 2 2

1 1 1 1 3 1

0 1

1 2 2 0.

2

n n n n n n n

t C t (10)

(4)

ˆ

^{n 1}

h ,

1 1 1 1

0 0 1

.

n n n n n

N

t

,

2007. 2

. 2

) 2 ( 4

2 )

2 ( 4

4

2 2 1 0 2 2

1 1 2

2 2 1 2 1

1 0 2 0

1 2 2 2

1 2 2 2

1 2 1

1 0 2 0

2 2 1 2 2 2

1 2 1

1 0 2 0 1 2

n t n

n n

t

n n n

n n

t

n n

n n

t n

C N

N N

(11)

(11) ₀ ² , (10), ₀ – ,

2 2

1 2 2 2 2 2 1

0 0 0 0 0 0

1 8 4

2

n n n

N N t (12)

2 2 2 2

2 2 2 1 1 1

0 0 0 1 0

2 C 4N (1 ( 2 ))C ⁿ (1 ) ^{n n n} .

0 0 – , ₀,u ,

, 0 2 ) ) 2 ( 1 ( 4

2

, 0 4

2 8 1

0 2

2 0

2 0

0 0 2 0 2

0 2 0 2 0

C N

C

N N

(13)

. )

1 (

2 ² ₀ ^{12 2 2}

1 1 0 2

12 n n n n n

n

. )

1 ( )

1

( ² ₀ ^{1 2 2 2}

1 1 0 1 2

1

0 n n n n n

(14) (14)

2,

2 2 1 1 0 12

12 1

n n

n n

n (15)

1 1

, 1

min ₀

1 0

1 .

(15) ₁,

2 2 2 2 2 2 2

1 1 0 1 0 1 0

1 1

1 1 1 1

1 .

n n n n n n n

2 ,

2 0 1 0 1 2 0 2 0

1 1 1 2 0

12 n n n

n q (16)

1

q 1 .

, (1)–(3). -

: , (1)–(3), , B

. , , ₁ . (2) ^{n 1}, (1)

3 3

1

1 1 1 1 1

0

1

1 ˆ ˆ 1 ˆ .

N

n n n n n n n

t x x h h h h h h

k

v v v div v h l v l v f (17)

(17) v^{n 1} vⁿ v^{n 1},

3 3

3 3

1 1 0

1 33

1 ˆ ˆ ˆ ,

.

k N

n n n n n

x x h h h h h h

k x x

v v div v h l v f

v v

(18)

1 33

1

ˆ

^N

ˆ

h h h

k

h div l

,

3 3

1 1

0

1 1

1 1

1

1 ˆ ˆ ˆ ,

1 ˆ .

n n N

n n n n n

x x h h h h h

k N

n n n

k

v v

v v div v h l v f

divv h

(19)

A B

1 0 33

1

ˆ ^N ˆ

h h h

k

h div l . (20)

,

v

ⁿ

, q

ⁿ v^{n 1},q^{n 1}

(19),

v

^{n 1},

q

^{n 1} (19)

. , « -

», . . (1)–(3)

0

* ,

1 0 33

1

0, ˆ ˆ 0

N

h h

k

h div (20) , A

.

2. ^* ₀. 0

( )

,

1 0 33

1

ˆ ˆ

( )

N

h h h

k

h div -

(1)–(3) -

.

. , ^*

0

,

2

1

,

,

) (

)

( _{0 33 2 0 33}

1 h h , (26)

2

1

,

, ,

1

0 33 1 0 33

1

0 33 1 0 33 1 0 33

1 1 1

ˆ ˆ

( ) ( )( )

( ) ( )( ) ( )( ),

N

h h h h

k

h h h

h div

2007. 2

,

min ₀

1 . ( _{h 0 33}) 0, A

,

, ,

. 1 )

1

( ₁

1

(27)

)

(

0 1 (1)–(3)

.

.

, ₁, , ₂. ₁, ₂,

h, h.

A , ₁

,

₂ h .

1. . . , 1978. 124 .

2. . . ., 1991. 156 .

3. . . .

, 1976.

4. . // . 1972. . 3. 5.

5. ., ., . . ,

1983. 305 .

. -

. Summary

In this work convergence of one class of an iterative method for model of ocean is investigated. It is proved that the decision of an iterative method converges with speed of a geometrical progression.

3.06.07 .

. 517.95

. .

. . )

.

. -

– , .