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發(fā)表于 2015-11-17 22:57:48
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function solve_nonl_single1, T8 H% k7 W$ h- ?8 z7 ^1 k
clear all;clc* P0 u2 p3 B' o# u5 `, |
format long
, r0 A: l$ V, P) ^global a2 T) j: g4 \3 m4 C9 k
a_span=linspace(-0.06,0.06,200);
5 m, G! @ Y4 ~! Bn=length(a_span);
) J- Y* C r+ Z9 d w( vx0=1e-9;
, ]1 C: R! A6 e$ E$ F& S, K" voptions=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);
5 M5 z" L/ _( D6 ^! }/ J) A' ~: mfor i=1:n
5 P+ |4 Z- r G8 U; y a=a_span(i);& J# M6 e6 q3 y' S. P
x(i)=fsolve(@nonl,x0,options);
8 b7 c+ Z% |. u* D8 Z1 D, p# Y/ ~ y(i)=nonl(x(i));
, a# p/ J9 {& x% zend1 d# P% B% G2 y( n9 g- |6 U
a_span', x',y'9 V W( }0 j3 I
function f=nonl(x) ?( \+ T; T; ~) M& e
global a: C; m# o0 l- ?
f=1/2*(285+60)*3000*sin(x)-1/2*(25*sin(x)*sin(a)+(60-25*cos(x))*cos(a))*3000*sin(x)+60^2*25*sin(x)*a*sin(a)-60^2*25*cos(x)*a*cos(a)-60*285*(25*cos(x)*sin(a)+25*sin(x)*cos(a));1 E {8 z& P3 |* L4 V, X
7 `' ?+ M% N- q
運(yùn)行結(jié)果 ans =
" M* B& d4 Y- S -0.060000000000000
3 Y) u! G& F9 C% z3 E" V( L+ |6 h& c -0.059396984924623% d1 m- o) C2 @% I1 ~
-0.058793969849246
7 P' h5 u( a7 n* x0 \2 {0 f' c -0.058190954773869
* o" j* A1 [6 {! }4 D/ m -0.057587939698492; \" G( V7 P7 O0 H* E1 K
-0.056984924623116
' e; u- c$ H$ C3 } I, x5 _ -0.056381909547739, g0 ?! s$ C# r+ W' _
-0.0557788944723625 `" x* B- Q& ?; D- U+ U _ h
-0.055175879396985+ f3 I2 H0 _8 E' T
-0.054572864321608; z' ^& \2 u8 q8 b
-0.053969849246231
N7 Q- B! w1 o; k -0.053366834170854
/ {) I0 T$ o5 K( |9 x/ J+ t ` -0.052763819095477
, G D: H1 E; R' v) Q( v1 p -0.052160804020100
+ U% S) B4 K5 d$ V/ Y -0.051557788944724
* Z$ S6 Q( o- c$ F) y. {* ^ -0.050954773869347
3 H9 c2 ^8 R& s+ P$ Z' s1 H! ~9 U -0.050351758793970
& D: g |- V: [& ?$ P -0.049748743718593; o6 a- \( S/ P' V% e
-0.049145728643216+ f. {9 B% n, H" w
-0.048542713567839
% D. I3 w# d/ o& X% {! B7 [ r! w -0.0479396984924626 K2 H4 H+ c+ H/ K7 e
-0.047336683417085
$ j+ O/ i- Q) H5 Z) M -0.046733668341709$ |, _4 K2 w1 A+ k
-0.046130653266332
- }$ p7 i4 z5 f3 e3 m$ d -0.0455276381909556 X$ q' W' r8 E. t- l
-0.044924623115578
( h2 Q. Q0 D! J% x4 Q -0.044321608040201* N* F" ~: c- A ~
-0.043718592964824
# a% o% |- K I5 {' k$ n2 b# y0 x -0.043115577889447# y# i. E$ {* S) d1 {6 b( x7 }) Z
-0.0425125628140702 @( g; ]. e! ]( ~, z9 G
-0.041909547738693. G. _8 k: h! F- T, G2 n6 A) `) \) l
-0.041306532663317
3 S5 Q2 v( z7 I4 V -0.040703517587940
- a2 ^; D7 L0 @9 H4 ` P -0.040100502512563
F* F C' G ?; ], p -0.0394974874371863 l, Y6 o+ v5 u, e
-0.038894472361809$ Q/ q5 N0 I, k7 Z
-0.038291457286432
4 N6 ?6 Y# `, s5 O- ?3 ?! @ _ -0.037688442211055
* `$ Q- p/ j) ^ Q; H1 { -0.037085427135678
% q. n) C, ]) c: v' j0 s5 g -0.0364824120603023 E; b, p2 A3 q2 [. R& L t8 U' L
-0.035879396984925
6 L2 N# H; [9 a: H! \6 D* o -0.0352763819095489 n- s7 z+ A$ H& d
-0.034673366834171
2 |8 |+ h: Y4 s7 J -0.034070351758794* Z4 ~& @7 K1 [4 F9 ]5 N$ A3 Z( O
-0.033467336683417) ?6 b2 N6 X& |9 }3 z. z# X
-0.032864321608040 [! A9 [- V* H' F
-0.032261306532663
# k% v- m; S% G# E5 I' n2 t! Y: X -0.031658291457286$ z% e( s6 K/ F9 d! E6 |
-0.031055276381910
$ L3 p# B6 c, B" m -0.0304522613065332 R* l2 s& P+ K1 M- N
-0.029849246231156. O& p3 ^) Y9 Y
-0.0292462311557791 Z& b9 R2 d+ {( v2 m! d& T8 u
-0.028643216080402
! {3 N: n7 N+ s) h& |/ L ~ -0.0280402010050252 a- s' P9 C1 \8 D8 D( @6 R
-0.027437185929648, ?& U9 y$ n; w6 l
-0.026834170854271 w/ l8 J; b, n* |5 R
-0.026231155778894
9 p7 S& i2 H* i0 D -0.025628140703518% d/ z# n7 c0 g7 h7 |% d4 m
-0.025025125628141
1 \7 i- S' C+ y2 `4 b -0.024422110552764( @, P6 h+ ^# ~' a0 _
-0.023819095477387
" j5 W" {% b% R/ y -0.023216080402010% L4 Z, l- V7 E G+ V
-0.022613065326633, Q4 k1 {+ L K x
-0.022010050251256
& l. h# Q& J) R$ B' P -0.021407035175879
$ k5 G" u% |- K( q; Y' p -0.020804020100503
5 k+ X5 u- C# N) X/ O( b# B -0.0202010050251266 B5 [. x% I* L9 U( h4 B9 G9 S5 v
-0.019597989949749+ q/ R! m6 r) U# L* `
-0.018994974874372$ D8 J# T' ^" t% y
-0.018391959798995
+ N p7 G* k# J+ n) e7 P -0.017788944723618* ]1 V2 v: v8 ?; Y
-0.017185929648241+ m+ J3 J% W$ v! {
-0.016582914572864+ D }! O* V$ j$ M8 B2 E
-0.0159798994974871 Q H+ B" u6 y, b' m: W3 L. @0 H/ H
-0.015376884422111
6 H8 ~) K. }8 z) l) t -0.014773869346734
/ J( x( G4 X- f+ `1 U. a/ b$ @% V+ { -0.014170854271357
% u1 t; [. m( k i+ A -0.013567839195980
9 z5 |* S2 ]! m -0.012964824120603
" f' q) ?7 c5 C6 m* r0 ~ -0.012361809045226) N7 g4 g ]0 n9 L: F- l' o; ^
-0.0117587939698490 R; |: k3 i; A, T( S% p
-0.0111557788944727 ]6 W# O6 w8 j% e6 S1 s; ^/ V
-0.010552763819095; R% n, z& u: ^% t% {1 i
-0.0099497487437199 W# W0 I/ a0 g x( ]$ @
-0.009346733668342" @3 U: u3 \8 ^6 O! ^' e* x# c8 {
-0.008743718592965
: F8 Z9 ]: H. E r/ K4 H S ?6 y -0.008140703517588
3 B# Y3 ~' A2 u, J: \3 Y -0.0075376884422110 E4 C" B7 r: N- |9 t( N
-0.006934673366834" K! R% K# P( S6 a
-0.006331658291457( h3 Z) E7 W# v$ c. @$ y1 b
-0.005728643216080( i% Z/ ?! ^! H: v, \' I- j
-0.005125628140704
# l E: i' A! s- V, } -0.004522613065327
# }% k: Y% t9 N9 ~( z -0.003919597989950
7 ?! K# [: A) E& |- ?1 B; X -0.003316582914573
1 V+ W# m& _5 p R -0.002713567839196' a, G$ ]) m4 x; z: z, X+ u' Q6 K
-0.002110552763819
2 A2 g+ ?1 t( c8 w) S/ G, g4 l -0.001507537688442# p8 w( u+ k i
-0.0009045226130651 M# O# C/ i* N2 N! v
-0.000301507537688* c+ @5 g" F* X
0.000301507537688
! m* }" N7 V1 a4 p+ S 0.000904522613065. |! f; {! g8 X7 o# ]2 U
0.001507537688442
) [. u2 q( ?* H 0.002110552763819
. _& B1 x$ x! `3 Z; _0 k) Z" M 0.002713567839196' \# B. U7 n k8 D q0 m2 S
0.0033165829145736 q9 m& G0 B) z* U0 O
0.003919597989950# N8 x. p; M0 V) b+ B
0.004522613065327# U" I$ ?8 ^& y/ E' G" P1 T$ G
0.005125628140704
7 d" d( a9 b. b: q1 G8 g 0.005728643216080
% _9 e! |1 C, s1 q" ~% _ E1 o* x 0.006331658291457
& n* v8 M# S2 h& U/ F' V 0.006934673366834
; N4 g3 p [* Y2 g6 }3 y- z: ^ 0.007537688442211
+ o' ], c% z Z; r. F& c+ i- u 0.008140703517588
4 P7 Z4 h6 k) P; Q* l 0.0087437185929650 ^. z H6 A3 T
0.0093467336683423 {) u6 z: N0 C% N$ W3 P2 ~
0.009949748743719
/ ~1 b) l s. r3 \* I5 L 0.0105527638190952 F8 z5 C0 B" o" Q
0.011155778894472
3 K& L9 }, [2 j 0.011758793969849: A# N o0 r% V, |) E' Z
0.012361809045226
5 {) _8 K9 X M 0.012964824120603" c6 b, X- F7 u! h8 P+ w/ s; B
0.013567839195980, E( y& _; ^. j. [+ ? i
0.014170854271357
9 @: f- n5 J: K/ g 0.014773869346734
. b+ f" Q. n# a# H! t2 J 0.015376884422111: h/ @/ @6 c$ j9 Q# K
0.015979899497487. R5 a- ]0 K% H" W( I! \* Y$ C
0.016582914572864
2 S9 i1 u* E# u+ ]0 C 0.017185929648241
( ^( C& X$ p' D 0.017788944723618 w T8 W$ O+ }/ f; g1 z, A
0.018391959798995
0 Z. |$ q& X0 x# W) L 0.0189949748743724 t! m) U9 u" j
0.019597989949749
9 w! u3 `& ~$ F7 [( s- Q! E4 u6 Q# ^ 0.020201005025126
( o% V7 T; {- n5 K# \3 k% b 0.020804020100503
& o+ L- e- Z- a2 D# A 0.021407035175879
& }7 J ^) D) e7 Y& L7 Q 0.022010050251256
& C& z M4 R/ M1 X7 H# _4 n9 I 0.022613065326633* W: P. {( W7 [: B. [, o3 L
0.023216080402010
! g Z, h2 ~( q$ d, D; _1 q% D4 c 0.023819095477387 f k, \7 s- D( P: w# s Y1 o
0.024422110552764
, g* b4 x6 r! k! q4 Q( {! s 0.025025125628141
- n# J4 S& h2 c E, E% O 0.025628140703518- D3 M: W9 d* e- u
0.026231155778894
" N' {+ r5 X, O- _: F! ]# h 0.026834170854271
0 d3 O9 Q: v* p; }1 A! A1 W 0.027437185929648& X5 O; L, y4 Q) Z/ y0 G
0.028040201005025
6 y" T w2 I6 o' b, o0 X5 k+ ?# e 0.028643216080402
5 F* V% t1 ^- U" y 0.0292462311557793 W: Z4 c! B+ z% J
0.029849246231156' R( |* I, [, q% w: w" L
0.030452261306533
$ S* Y1 Z1 X) ^/ Z 0.031055276381910
1 V' T1 z2 z8 s 0.031658291457286& v% B) C- g. e+ T" t$ P" B4 |0 ^
0.032261306532663
u; r% }# v3 S# e 0.032864321608040' I0 Z; N' j4 i6 w9 P6 m o* y0 R
0.033467336683417
$ R9 I$ F' u9 A( _ 0.034070351758794
8 T6 [5 [% ~& y 0.034673366834171* O# @/ e( s& {" Q
0.035276381909548- N$ c6 t r" Y, \/ C
0.035879396984925, F, }% I0 r( i% }5 I# _2 ]0 H
0.036482412060302
+ Z+ y) _* q9 P3 p. c1 i+ y 0.037085427135678
9 q. H) B6 Q6 G2 R( d* ?0 o j 0.037688442211055
, T g9 E0 g* y3 i 0.038291457286432
5 p* s( ^5 a4 P! l& s# f5 e; _1 n 0.0388944723618097 H6 V# D, v. G2 a' }5 B1 c
0.039497487437186% Q$ ]1 \ s5 b% T# d
0.040100502512563
d4 ?+ H" d" R! P7 ~ 0.040703517587940: y7 Y2 P! V0 X- t2 X& o' T6 I3 }
0.041306532663317
# [ ?% p3 j8 D d+ I9 b% S4 C# D* a 0.041909547738693
) S( ~( e9 V& ^- T7 J 0.042512562814070
% V) Q' x3 O$ j7 h3 D 0.043115577889447
' k- c" x o1 O! ^# W 0.0437185929648245 T8 Y' |4 y3 g( @ g
0.044321608040201
5 C+ z( }5 p# N3 n( p5 B( V 0.044924623115578
: a% K! d, v) i 0.045527638190955
9 o* j! O9 I- k 0.0461306532663325 [7 M% c, j: I; v2 o- i" j
0.046733668341709
+ Q& c: U0 ?$ d% ?2 A. w3 ~ 0.0473366834170857 _" w8 A6 c) Y! v8 E6 ^' W2 |
0.047939698492462
& }# Z- D: {. p8 G7 w( [" f 0.048542713567839 q" U. f6 e" x. _4 _( x" K8 u
0.049145728643216* @0 w4 d# M' ~- W& Z! f
0.0497487437185937 p3 v. ^$ u1 m" U' S! d* i
0.050351758793970
2 M R' O) a( V 0.050954773869347
% k8 O& s3 ]9 S: [7 ~- n 0.051557788944724
) [* Z0 Q# Y! W1 a1 S 0.052160804020101- ?0 B, f$ D6 a
0.052763819095477
% I8 r3 ~+ r4 @$ q: N 0.053366834170854
* M G$ s" X* A! ?' E1 u 0.053969849246231& u8 M' v! u/ _$ `
0.054572864321608( X+ U* ]( F$ e- _1 Z' o; d
0.055175879396985
. Y/ U: o/ b6 l7 a0 _: ]6 @ 0.0557788944723624 J9 ~# q+ \, B$ P2 B; {* o
0.056381909547739
. C i1 ^; V0 R$ L. [+ K, }+ { 0.056984924623116: Z- M7 W: Y7 e! A
0.0575879396984922 |: `( x0 W5 K
0.0581909547738693 L7 t! a3 m8 |. i: V0 \' }* T- }
0.058793969849246
( z9 ~% d$ N% @+ D; m+ ? 0.059396984924623
& h) X( m8 e T! L! c6 r( \ 0.060000000000000- q6 R4 J7 _( V6 q
4 [, m- q4 A8 T/ N( L0 j1 g
% ^; i2 n! v0 J8 Rans =+ X4 N9 _3 {2 q( T8 H, N
- c# P, A! B" s5 \' `% R* N2 [/ z
-1.033689540653716+ o$ i& ?' c- _1 U- D v$ C; s
-1.013619827890691
$ {! q3 q* ^) ~9 G; G3 Q. s -0.994621366531083
8 j7 s7 W7 E! | -0.976510534039504
5 O- F3 L5 N% P% b" B& A% u$ k9 G -0.9591516390029577 d. t9 z1 w- j8 N8 ]/ `3 ]
-0.942440908631668/ h" {7 E! [ l" _
-0.926296779035772
' z, i. {& H: G9 F I -0.910653694311287
8 N3 L# P" u1 C w+ D4 L7 n8 U -0.8954579767521012 j! Z6 ^. H W# ]9 V
-0.880664979264975
' T8 b$ D& J, p& n* j -0.866237063671064
+ y* V- W z' f% b; o -0.852142129100671
7 R: ^0 b3 _ n -0.838352517460560
' _% }/ o- s# j' ^/ B/ J -0.824844183890339+ f8 j8 U8 r8 a+ ]3 z. A3 @3 ]. v
-0.8115960575464192 N9 c2 g6 Q# h% x6 t4 J" k, I
-0.7985895417462736 B* B0 V4 ]: C. o/ C/ `+ q& g
-0.785808117918193
3 b4 Q4 f' r( M5 S -0.773237028068739: m" ]2 x' X( w! W
-0.760863017467603
7 q! g8 p. A! @$ s/ H" P+ q -0.748674124097121
9 g3 ^ ~. A* x& z -0.736659504835453
5 y; R3 E, x. Q2 ? -0.724809290796292, C! ^6 ^* L4 [' C. O9 `9 j( D
-0.713114466033284
, [0 l: D3 G* ]$ A+ c! \ -0.701566765133452, Q& _4 }6 s' A- Y( s+ F/ ], n
-0.690158586205827
- u& L/ x9 a. @' G -0.678882916512848# p# s+ P& ^! X
-0.667733268556930
# z2 `1 G% d. p- a -0.656703624869929
" M3 m8 Q! X- d' v0 }5 J -0.645788390090937) s4 j7 |% b9 E* U+ N
-0.634982349182892
# U9 ~7 b5 w7 ~" m6 D n -0.624280630847343
4 _, e9 Y* G( s8 J e6 v, q- D1 M, e -0.613678675363112
1 k# [9 e( P3 }$ G0 ^4 N6 s -0.603172206207723
- j! p$ y- F% M, P$ D5 S; j* o% ? -0.592757204927887
) r2 s1 A% h3 E# G- E -0.5824298888123606 M) }4 I- d3 G2 Y, I N5 l& y9 r
-0.572186690991612
1 o! Q5 ?& I1 b2 ^) ]1 | -0.562024242646965; {, S1 B5 A" k; U: I
-0.551939357060015
, L+ r* m9 O' \6 {2 } -0.541929015272840 m+ R; X; k4 k! R* O
-0.531990353162879
K- S% h! o% q- N -0.522120649763841) ^3 ?8 R/ y7 f" B! E7 B
-0.512317316687512
' b- z; X# _% ~, P6 h -0.5025778885209217 a5 Z. ? f" x( y P2 J
-0.492900014089836
6 K0 S: `: g6 B) `( D, d* o7 i -0.4832814484938858 R- y) z1 Z5 A
-0.473720045830499
" E: f3 ^1 M, @# o: M -0.464213752535263
! t7 J: C2 U; a3 ~, E+ r -0.4547606012750713 W' I3 @& n( k5 Y
-0.445358705338140& v% d, @" H% T
-0.4360062534714716 F' h+ m- C8 E+ T7 F. G0 {4 R
-0.426701505122098
2 Q+ B0 B; b( J# _4 J, ~" m -0.417442786043397
; {. ]! Q8 d6 \# M. \ -0.4082284842319921 O/ j9 r- X( x. h/ F
-0.399057046164675* e3 j+ l! ?* R6 f" y
-0.389926973307911# Q3 A% f4 p2 Z$ M1 u' |7 h9 O$ n
-0.380836818875499
8 F' z6 W V3 e. Y -0.371785184812454
) Q# N$ R# s- q6 E" f -0.362770718985392
" h* Q( Z. X: l, g1 j' g) g -0.353792112561766
) a3 F5 e* r m! C S1 O# i -0.344848097561934' w/ c6 J; A/ ?% F; d
-0.335937444569670- w4 d, s: R% v% @& ^- m* U
-0.327058960588106( h3 W/ t: t9 l$ w$ y
-0.318211487029265
% ~: ^( `8 P: x+ ]& z$ L- p -0.309393897826506
1 d8 d# a6 i+ ~, V1 q -0.300605097660121- j* n, s( I+ W _
-0.291844020287246
' L9 L: o: V3 m' n! R -0.283109626967980' v& x& i6 k" {) j; @9 d0 {- L
-0.274400904980369. J( [. ^: a& F" M8 k, P
-0.265716866217476
# g3 A" H( a( k# O; S3 C -0.257056545860381/ s6 H3 x: G! {. k' L+ W, w- O+ J/ ~
-0.248419001121443
6 N0 {8 Y! x- k7 O* R0 \ -0.239803310052597/ w5 L! w" o5 W
-0.231208570413935
( m' a" U% E! y/ S: @0 U -0.222633898598121
- l" K l; _1 c; ^- Y0 }0 S -0.214078428606594
1 i/ G3 e R2 I% A -0.205541311073791
. y; N6 l7 ^: N' k' a -0.197021712335900) c F# D4 i( R3 l* G
-0.188518813540922
! G; ~* k3 ]5 s -0.180031809797061
p3 [* k2 I8 d3 F5 q -0.171559909356608 H+ }5 g+ P% h; |8 A- `, @$ D
-0.163102332832782
, C' Y. w5 h5 R -0.154658312447061. C+ r/ M9 V* l! y" A
-0.146227091304754: x0 d+ ~8 V8 @ t' Y% I
-0.137807922696691% J4 h; F8 S, w- B$ x, ^
-0.129400069425041
, t/ e7 Y8 _0 d8 G+ ^" d( ? -0.121002803151371
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( q( E3 \* Y7 ?0 z+ m k7 I
4 }" \9 c0 p4 C# j/ v" D |
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樓主: shouce
