711396
--1
:9/10/1395 :27/4/1396
:--
.O h 4
.
-O h 6-- .
. .
. :--
.
)2010( :15650665.
1-
.
1- :
118
. .1
2-34-5-6 .
.
.
.78-910-12
.--
.11 .-
u u uu F u x a b t tt x x
2
2 (1)
u x t f t x (2)Bu x t g t x t t (3)
B
xBu u x t u x t1 212.F u u u1-
.F u u u u1-: .
F u u u u23 1- .
F u .1) 1 (
119-...
.) 1 (
1.) 1(-)3 (
.13 .14
.5)1(-)3. (
-) 1(-)3 ( .
, .
.
.15-17.18-19
- . .
20-21 .
22 .
.
.-
. .
120
.
. :
.- .
- .
. .
.
2-m
t j jtt TT tk
m .
jju x u x t j 1 .
:
j
jt
tt
q x t q x jt k
1 211 2
(4)
qj j jtq x q x q x1 .) 4 (
) 1 (:
xx xu u u u u F u x a x bk2 (5)
2
22
1 11 1 12
2
j j jx xx
j jj j j
u u u u u ux x
x u u u u F ux x k
121-...
:
jBu x g t x a b (6)
.
3--)5) (6 (
.x na x x x b1b ahn
a bn
i i iI x x1 .r
rr:
i
rr x rI
SP Q C a b Q i n1 1
-x x x2 1n n nx x x1 2 .
nx i ix 2
2a b-x .
x-rSP .-
:
ii
x IB x
ow11
-r 123:
r iir i r i r i
r i i r i i
x xx xB x B x B x rx x x x
11 1 1
1 11 2 (7)
122
) 7 (-:
n
k kk
s x c B x1
31
kc .
.
.s x
i is x u x i n 8
i i ihs x u x u x i n
45 918
.) 8) (9 ( ..
1:x
:
i i i i is x s x s x s x s x i nh h1 13 212 6 1 (10)
i i i i is x s x s x s x s x i nh h1 126 2 1 (11)
:ip x:
i i i i i i i ip x a x x b x x c x x d3 2 12
iaibicid .s:
123-...
i ii x xs x p x i n
11
ip x:
i i i i i i
i i i i i i
p x s x p x s x
p x s x p x s x
ip x:
i i i i i i i ia s x b s x c s x d s x1 16 2
)12(:
k ki i i ip x p x k1 1 2
ij 1j 1) 10) (11 (.
1:s xu C a b8
)8(-)9 ( .:
i i ihs x u x u x O h i n
45 6
180 (13)
i i i ih hs x u x u x u x O h i n
2 44 6 6
12 360 (14)
:24:
i i i i is x s x s x s x s x i nh1 1 1 134 1 1
) 8(suix:
i i i ihs x u x h u x u x O h i n
42 3 5 66 1 120 (15)
i i i if x f x f x f x1 14 .f C a b8:
124
i i i i
i
hf x f x f x h f x
h f x O h i n
45 2
45 6
6180
1 120
(16)
uf) 16 () 15(:
i i ihu x u x s x O h i n
45 6 1 1180
(17)
i i i ihr u x u x s x
45
180) 17 (
)9 (:
n
i
r r
r O h i n6 1 1 (18)
A:A 1 12 .:
ir O h i n6
) 13 () .14 (1:
i i i i is x s x s x s x s x i nh h1 13 212 6 1
i i i i is x s x s x s x s x i nh h1 126 2 1
hu u O h4
5 6
180s
) 14 (i n. :1
.) 5 (x
125-...
i
i xx x ix
u u x u x u x u x F u x xk2 (19)
Bu x g x a b (20)u x
s x1h 2) .13) (14 (
riu x r 4 5 6
.i is s x:
1 2 3 4 5
1 1 2 3 4 5
2 2 1 1 2
3 1 2 3 4 5
3 14 26 24 11 22 9 16 14 6
4 6 44 14 20 15 6
i i i i i i i
i i i i i i i
i i i i i i
i i i i i i i
v v v v v v vv v v v v v vv v v v v vv v v v v v v
riu r 4 5 6
.2:su C a b8
) 8(-)9 (riu r 4 5 6:
4 432
4 41 12
4 43 52
1
1 2 1 11
i i i i
n n
u s O hh
u s s s O h i nh
u s O hh
4 24
4 214
4 254
1 11 2 2 5 61 1
r ri i
r ri i
r ri n i n
u s O h ih
u s O h i n rh
u s O h i n nh
126
:14
.2) 13 (
) 14 (O h 6 .
O h 2
O h 4 .O h 6 .
.1:xs SP3:
ix
j
s i n
Bs g t x a b (21)
1 :sO h 2.2 : .iu
4is
41 12
4 43 3 52 2
1 2 1 11 1
i i i i
n n
u s s s i nh
u s u sh h
) 5 (
1 1
3 3 5
1 2 1 1121 1
12 12
i i i i
n n
i
n
s s s i n
s s
:xs SP3:
ix
j
i n
B
s
s g t x a b (22)
127-...
2 :sO h 4.3 : .r
iur 5 6isis
44
414
454
1 1
1 2 2
1 1
r ri i
r ri i
r ri n i n
u s ih
u s i nh
u s i n nh
1) .5(
1 1
0
5 55
1 2 2360 1801
360 1801
360 180
ii i
n
n
i
n nn
i
n
ss s
ss
i n
s
s s ss
11 1 1 1
11 1 1 5 1 5
1360 180
1360 180
nn n n n
ss s
ss s
:xs SP3
ix
j
i n
B
s
s g t x a b (23)
3 :sO h 6.3 :sss13u) 5(-)6 . (
128
) 8(-)9 (i n
i i
i i
i i
s x x O h
x xs
s
O h
x x O h
2
4
6
4- .
uBuG x t .u v
:b b
a a
G x tu x G x t v t dt u x v t dt
x (24)
C a b C a b:b b
a a
b b
a a
G x tg G x t g t dt g t dt
x
G x t g t dt F G x t g t dtk2
) 5 (:v v (25)
npC a bxSP .ns v:n n np v v) 21(
:
n n n nv p v p (26)
129-...
2:)25(u x) 5(-)6 . (
xx z z z F zk2
zxz
xa x b u x z u x z
u)6( .
x
xx
u x z z z F z uk
x z z z F z uz k
2
2
u x) 5(-)6 (xs SP3) 26 (
nsu.3:xha b
h .s)5(-)6() 21 ( .2
:2 1 2k ku x s x O h k (27)
2 1 2k ki iu x s x O h k (28)
:u C a b4)5(-)6(s .wu
) 8) (9 ( .nwBw O h 2 .u
xB Bw O h 2O h 2 .nw
B w2:
130
2 1 2k ki iu x s x O h k (29)
) 29) (26 (:
n nI p w I p s O h 2
:
n nw s p w p s O h2
u:
12
12
2
1
1
n
n
n
w s p ts t w w s dt O h
p ts t w dt w s O h
p w s O h
.np2nI p 1
:2
n nv O h (30)
n nw s vB w s:
1 2kb
kn nk
a
G x tw s x v dt k
x (31)
) 30(a b:
2 1 2kw s O h k (32)
:kk k k k k k k k ku s u w w s u w w s
131-...
) 32 (1:
k ku s O h k2 1 2
.4:3
:kk ku x s x O h k4 1 2 33kk
i iu x s x O h k4 1 34
i iu x s x O h 2 35:3 .5:3
:4 1 2 36k k ku x s x O h k
6 1 37k ki iu x s x O h k
4 38i iu x s x O h
2 39i iu x s x O h
:3.
5---
..
.
.
132
.
1:) 1(-)3 (1F u u u u1 .
1
12 2 4 1 1 2 1
1
u x t x t
x t T
2 4 1 .- .n 16k 0 01
12 .T .
..
) 1 :(10 001
T( ) 116 68 610 6
0 05E3 74 101 61E1 72 8E1 73 8E4 68 8E1 73 80 10E5 72 101 86E2 87 8E2 88 8E2 88 8E2 88 81 00E7 31 106 41E4 68 8E4 68 8E4 68 8E4 68 8
) 2:(10 0013.
T( ) 1110 60 051 57E7 931 8E3 672 6E3 672 60 101 76E9 213 8E6 101 6E6 101 61 006 23E2 612 7E9 907 6E9 907 6
133-...
2 .) 1(-)3 (1 1 .
1
11 12 2 2 1 1
1
u x t x t
x t T
) 3:(0 001
T242 12262 1226
0 001E3 3 16E9 1 15E9 7 15E7 7 16E3 1 14E3 3 140 005E6 6 16E4 4 14E4 1 14E1 7 15E1 5 13E1 6 130 010E6 6 16E8 8 14E9 1 14E2 9 15E3 1 13E3 2 130 500E7 3 16E1 0 12E1 0 12E6 1 15E3 8 12E3 8 121 000E8 1 16E1 0 12E1 0 12E8 4 15E3 9 12E3 9 12
) 4:(1
T242 12262 1226
0 2E5 3 11E7 8 7E2 5 6E2 2 11E2 9 6E1 7 604E3 5 11E1 1 6E4 2 6E5 4 11E3 1 6E4 1 7
0 6E2 6 11E1 4 6E3 5 6E4 6 11E2 3 6E2 4 60 8E2 2 11E1 4 6E1 4 6E3 1 11E1 3 6E2 3 61 0E1 8 11E1 3 6E5 5 6E2 7 11E6 5 7E1 4 6
- .n 16k 0 01
345 .
134
T .
.n 16T 0 001 1 00351 526 47.
) 5:(10 0025
T242 12262 1226
0 1E1 2 15E1 9 11E2 8 10E1 5 15E1 7 12E3 9 100 2E1 2 15E2 7 11E3 8 10E2 2 15E2 3 12E5 4 100 3E2 1 15E2 9 11E4 2 10E3 1 15E2 6 12E5 9 100 4E2 2 15E3 1 11E4 3 10E4 0 15E2 7 12E6 1 100 5E2 5 15E3 1 11E4 0 10E4 9 15E2 8 12E6 1 10
Physics Letters A
Physics Letters A,
Physics Letters A,
Applied Mathematics and Computation,
Applied Mathematics and Computation,
Physics Letters A,
135-...
Advances in Difference Equations,
Journal of Computational and Applied Mathematics,
Journal of Computational and Applied Mathematics,
International Journal of Computer Mathematic,
Numerical Methods for Partial Differential Equations
Applicable Analysis,
Journal of Physics A: Mathematical and General.,
Journal of Physics A: Mathematical and General ,
The Computer Journal
Journal of the Institute of Mathematics and its Applications,
136
O h
BIT Numerical Mathematics
Mathematical Sciences
Journal of Computational and Applied Mathematics,
Journal of Computational and Applied Mathematics
International Journal of Computer Mathematic,
Numerical Algorithms,
Journal of the Institute of Mathematics and its Applications,
USSR Computational Mathematics and Mathematical Physics
Applied Mathematics and Computation,
137-...
O h
O h
Top Related