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發(fā)表于 2015-11-17 22:57:48
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function solve_nonl_single10 K* l# ~8 ^5 B+ L) a2 x
clear all;clc
/ l! H) Q$ j- Z8 y' ?5 w0 [format long
. p7 L- h, A( B! Q2 ~ p3 o" Zglobal a) h3 ^ P8 M2 Y3 y# N: E$ A$ M. R
a_span=linspace(-0.06,0.06,200);
1 N6 t2 w+ D; ?( \& d% R/ a$ ~" [n=length(a_span);
* H) w e7 ` w4 C" ~8 P+ D: Ex0=1e-9;( j3 h, t _# f! W+ e6 t
options=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);# j4 S6 N: ]- r* ^
for i=1:n
# j( L+ u3 a! Q+ K$ t a=a_span(i);0 S6 m( v! i+ V/ o3 Q5 b
x(i)=fsolve(@nonl,x0,options);
4 b1 K7 a4 O3 C. ` y(i)=nonl(x(i));
" K8 Y3 }7 r4 X7 ?. `5 q M$ N2 ?! B9 Kend
0 t( Q$ O# p) i- @/ Ra_span', x',y'
* ~& b: r/ i& h5 j, Nfunction f=nonl(x). u R1 l/ }. z- {9 W$ e9 W/ |
global a
) z' W: C+ \& ]* H1 s, b' S( ]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));6 f8 E" o2 ~+ m1 Q
8 V# t* Q. h+ Z
運(yùn)行結(jié)果 ans =
0 Z$ E b0 k3 o/ A: j1 X -0.060000000000000
% ^5 K8 H( O* W) Y1 S -0.059396984924623
2 {7 l; x) j$ G) c3 D -0.058793969849246( ^% x/ ^& ?! k, t, R8 n
-0.058190954773869
! G% c2 j/ S+ V. M! q -0.057587939698492
3 Q" W) g, M$ X Z% I2 f) ]4 g -0.056984924623116! A9 t5 [ D7 S4 h
-0.056381909547739
- G2 N0 w2 d7 t2 ?- g. G -0.0557788944723629 ^: ]0 @# G& h, n/ z
-0.0551758793969854 g. E: z. r6 i9 i
-0.054572864321608/ f% F3 U P/ y$ s* R8 c
-0.0539698492462315 S9 u- O* E( a' S7 }& t4 y
-0.053366834170854
/ {: K. a- F) B, C! F8 `3 ~; E/ j -0.052763819095477; W2 F, l# M: b/ `- h2 y
-0.052160804020100
, j% Y% A4 j+ s3 K% q4 r -0.051557788944724
; }/ F: N: a# m. [! B -0.050954773869347
T$ H6 ^. l$ f' _/ s) W7 m -0.050351758793970
- }# L( o5 c3 c) i. i: R: N -0.049748743718593
, N# {% q4 f! A2 E! v -0.049145728643216
% f7 s+ q k/ m" ~ -0.048542713567839
$ W+ v6 ?; U b( d; O1 N -0.047939698492462
. u0 L9 q8 ~$ I9 D k$ V0 |. [: c -0.047336683417085' a( r; Z# B$ O- H
-0.046733668341709
: ^! |! K7 z. A9 T4 t+ R7 u/ Q" T -0.046130653266332
, T6 z( e" @0 Y -0.045527638190955: d4 U! i- j' ^) ^
-0.044924623115578
# Q- u" e' H: l- D( T -0.0443216080402019 n0 b- q. {6 a( X
-0.0437185929648244 d0 z+ }$ u3 I2 c$ }& z. i
-0.043115577889447- K$ b% ^2 y2 C3 a o' B. z
-0.0425125628140709 x) @* a- ~) {! e N" O
-0.041909547738693' E+ | n7 Q' `3 \9 u
-0.0413065326633174 R! ^, U4 h8 P/ Z8 }* k# e
-0.040703517587940) M4 ?# X _3 F! u6 |$ p
-0.040100502512563! r0 n9 C5 x; m/ k" ]4 r
-0.0394974874371869 _) d+ Q1 R: T" D
-0.038894472361809+ F0 B8 t' A! W, j" ^, R
-0.0382914572864329 ?8 t$ Y( O1 d0 E$ D4 G
-0.037688442211055
6 n" [" ?2 b0 K% ` -0.037085427135678
# P$ h2 e1 o+ s% p/ h5 a w -0.036482412060302) v7 z/ P' ]$ Q+ S4 Z. H
-0.035879396984925
, r+ w/ N1 U% c+ ~8 t -0.035276381909548
( {! ^8 L1 h) b+ l0 X# B1 I -0.034673366834171% R$ C$ L/ ]9 q; T' L q1 R
-0.034070351758794+ q0 X6 E8 u1 [, E: H$ W/ {
-0.0334673366834171 p6 W0 r3 l8 h, X3 o
-0.032864321608040
5 b# v0 A& G9 b0 C -0.032261306532663- `4 M' ?$ Z3 O( J/ y
-0.031658291457286
& K1 l) u. u4 G -0.031055276381910
6 |: I! i" k3 Q+ P -0.030452261306533* A0 O6 g4 x; F+ ]4 d% U
-0.029849246231156
$ h' O. p2 P9 q, h% \ -0.029246231155779/ e3 y+ e7 u; t k& P2 {- }
-0.028643216080402
- @5 i+ ?# y( o% l- c -0.028040201005025
; J0 q( O2 t1 I -0.0274371859296481 K8 T6 N& t' d7 B# Z3 p
-0.026834170854271" X- r! I8 }( U" {
-0.026231155778894
1 k a; e& ?7 @9 I" q -0.025628140703518
. `! ?+ X7 A6 M -0.0250251256281418 {3 t2 d1 R" Z5 q/ K
-0.024422110552764
~; _( k8 i; N& R9 g2 Z -0.023819095477387
; M. h( f; k }$ L: I K3 c8 G -0.0232160804020104 J) \4 f4 a9 @ O# Y
-0.0226130653266339 r) T, z1 Z8 l0 \* b" r4 I5 H) ~0 ?$ |
-0.0220100502512565 U6 }4 A- v" ]& j3 o/ B
-0.021407035175879
' F8 f% E- ?/ O9 T A+ n4 t7 d -0.020804020100503
/ o2 |7 v4 B/ N9 g -0.020201005025126
C. U* w/ A) x3 T3 v* | -0.019597989949749$ J& j% k/ }8 G3 `9 t* a$ K
-0.018994974874372
# F7 F5 V% f6 |$ E" v -0.0183919597989954 j1 f9 g& U/ L w! t
-0.017788944723618
7 r/ I$ A$ b! N `3 J$ e8 h8 ]0 S -0.0171859296482415 H4 a/ h u- i: }! C8 h
-0.016582914572864
: s: [! l5 P1 e" v3 L9 x1 g/ N -0.015979899497487
& y% j" C( W# U9 g& f2 p; e -0.015376884422111& F y3 E) y" ]0 o
-0.014773869346734* u2 Z2 O2 d o5 G6 B2 |( W2 I
-0.014170854271357
) p+ n9 U+ ~; n -0.013567839195980
: l1 Z1 |* [; u5 H; R4 O( ] -0.012964824120603
) A2 Z# \& v" L: }: C -0.012361809045226
% O& M8 b7 w) d( ^/ X6 A$ t -0.011758793969849& W6 \2 Q/ n% \% k$ |4 u- H
-0.011155778894472# M+ e7 a/ T$ C U6 p5 `
-0.0105527638190950 i; l J" d0 F/ d8 h& `) Y. O# D
-0.0099497487437199 N; j5 T6 L! G$ U
-0.009346733668342
) \% M% i% P2 S( B \1 }" |4 A -0.008743718592965
# o; r6 e# z6 O" B1 k -0.008140703517588
+ E0 ?+ E) u. y -0.007537688442211/ T( h5 B2 `7 c! b# H
-0.006934673366834
; s7 ?- M7 i7 h5 O& `5 j4 f) ] -0.006331658291457
- B* w6 s2 b/ L' B. e -0.005728643216080& I, A/ E& b8 l Q. E
-0.005125628140704! O9 j0 d* V# z0 _( o
-0.004522613065327
9 f5 S" u9 p3 }6 x. m -0.003919597989950
! N7 _/ E. W% y. _0 t5 X9 _$ O4 f -0.003316582914573
6 @" H$ i% L/ s4 c' |+ p6 B -0.002713567839196- ~! ^6 G: w% H3 U0 w* T7 B
-0.002110552763819
* C( B' K2 S z) a2 p7 h& F7 d -0.0015075376884425 W, d) C0 m+ k( l! y' c$ ^
-0.000904522613065
% D$ @: U& ]6 a7 I$ L# U -0.000301507537688+ g% V* Q% N6 A+ j" i3 U$ h- O
0.000301507537688
- N# L: h2 l1 \: A5 l, _2 ~8 Y; v: y 0.000904522613065' O( Z! f8 h" I8 a% s0 ?7 {* B% M
0.001507537688442+ y) o4 [: Z- z1 g0 D5 s$ E
0.002110552763819
. \) R( c- f! h5 s" X1 M 0.002713567839196
/ ^* U% g0 j7 [ 0.003316582914573
/ M" g/ M2 o* t8 j) S 0.003919597989950: Y: b0 _! g8 ] \" ], h
0.004522613065327! `) e9 R7 L) W/ M8 x7 S/ o$ O8 m
0.005125628140704; @% f; q! f4 E& W3 `
0.005728643216080
. V* D4 V) O% q# o9 ^ 0.006331658291457/ u; U- G4 V6 j4 o
0.006934673366834& v4 r) }+ Y# I/ A
0.007537688442211
; t P* r% u; `( `8 J2 V 0.008140703517588
5 d9 B& i# K- y' p 0.0087437185929651 z( e- z0 W6 I; I! f9 j
0.009346733668342
0 A) t/ u& X1 D6 G1 r 0.009949748743719# c) ?% Z: N5 P: j5 Q1 k6 ?# W
0.010552763819095
0 E3 B0 G$ j( D 0.011155778894472
. a% T: ]" K- ^' \9 q8 l2 Y3 E* n 0.011758793969849
4 ]- ^- L- ^7 @+ @! z" ]9 w 0.012361809045226+ g, q& q" q6 ]) e. L8 W+ h
0.012964824120603
2 {1 \; [8 r' L W" y1 d5 l 0.0135678391959808 E9 r# w8 L" k- A% O
0.014170854271357
/ Z: A- ~" m9 W* x# ]* _ 0.014773869346734& B1 l# u& I- |0 M* ^% B
0.015376884422111, C/ q: L0 M5 t1 ]' B1 H
0.015979899497487
2 \) N; l9 _9 @4 S9 ~ 0.016582914572864
2 k: L/ q* {! Z/ C 0.017185929648241
0 Y" |8 T# d% _+ r/ a% K7 q. N" ^- z0 L 0.0177889447236184 F3 s9 _- f# s: a# l
0.018391959798995/ j7 z3 S+ _# _& C! b
0.018994974874372
. g3 }, u5 {7 A5 \: ]3 _ 0.019597989949749
4 v' D4 R& w3 S6 H 0.020201005025126
! b2 }1 l7 p, S( L: n/ T 0.020804020100503
& O9 a) G9 J/ ~6 ? f4 h 0.0214070351758795 p/ w P+ i5 b |6 }2 D. ^5 b! A
0.022010050251256
6 D) {- v2 D" e/ v( N. w 0.022613065326633( l6 ^& z2 ]2 m: B' _$ R% m. t
0.023216080402010" T* _ ?9 ^% b
0.023819095477387
& X$ F! _+ _, k$ t/ B6 k1 Y) j 0.024422110552764* x% r; A1 a6 i3 A& i4 p
0.025025125628141
! ~, A1 m3 a8 B0 n 0.025628140703518
; R$ y$ L% s" ^4 | 0.0262311557788940 S: ^; X8 ~9 ]' L$ g
0.026834170854271
7 d* {1 O8 \; U$ z 0.027437185929648
; u" o2 M; r2 M& ]# p8 q 0.028040201005025
6 n1 t9 [: d4 y: K 0.028643216080402& X) ~2 u( a" Q3 h+ V# q
0.029246231155779
7 J, E/ L1 [, Y/ [ S: H 0.029849246231156
* b5 r, j8 E4 I* e( x f' Y 0.030452261306533
+ w4 p; s1 P+ Z! ] 0.031055276381910& G* ~9 I0 O* `! u* Q. }- X V
0.031658291457286
; q! j0 d% H7 y5 u: R4 a7 j R+ E 0.032261306532663" i, U% |0 Z m! ~# a6 H) C+ r
0.032864321608040& q: j) d. m" D6 l6 p l
0.0334673366834173 e& \4 z, g S1 [/ y' [( T
0.034070351758794
4 Z0 h2 u" y2 B: ^8 {# C 0.034673366834171# N1 p' A" d% P% ]$ M1 q2 b7 Q
0.035276381909548: M1 ^+ h# Q! U, V) c' b$ z
0.035879396984925
& V8 x1 C+ ~' f$ f+ q; K 0.036482412060302! a6 k0 o) e5 Y1 X: ~; m0 S
0.037085427135678
" l4 ]; h8 E+ [6 Y$ P9 ?# i 0.037688442211055$ _+ q/ f- }. @8 M: R% g( }
0.038291457286432( U" y3 a" f' O7 W* W. z* D
0.038894472361809
* x: @; S" Z* g. Z5 C6 I& R% M. c 0.039497487437186& q3 ]/ m3 ^* M9 ~3 }
0.040100502512563
2 _/ L. x5 F* m0 m+ t! X( y 0.0407035175879408 m/ D+ \! @* ~/ a- H/ t8 {
0.041306532663317
0 X1 C* L* F/ m3 d. y 0.041909547738693
% ^. E! ?! n; S, N, C0 F1 h9 \, K 0.042512562814070
& n; V# o' s$ [6 ?: K1 C7 L1 {& k 0.0431155778894471 f3 R4 w9 k$ }; c- y
0.0437185929648240 @* j" L, a' }! P
0.044321608040201$ m k& Y# N4 `2 i' Y$ P. H
0.0449246231155781 Y: X) c" \1 B! h; k
0.045527638190955/ j! E3 }1 A( s2 I3 {7 i
0.0461306532663322 ~. A, y/ H" c) M; a, m! v/ v, c' d
0.046733668341709
1 h6 w+ Y! e7 f; T: o, }1 d. v! n 0.047336683417085* O2 L* G) [* P) k4 P
0.047939698492462
7 K; m. {5 v/ c r5 n0 P, ^$ h ] 0.048542713567839
* [9 n% B% ]8 T6 K q% T 0.0491457286432161 r! l0 L' R6 B
0.049748743718593
& B) x& {" ?. X+ [% r9 U' }6 C 0.050351758793970
. v! f7 S: ]7 k# u; b8 ]- g( g 0.050954773869347- ~2 x" _! d/ w5 v! o
0.051557788944724! ^. c6 h; z& N7 q7 ^
0.052160804020101
! g4 ~0 u, j6 ~- s; h 0.052763819095477% T6 y+ Y- V* @$ C* z
0.053366834170854
; @/ G1 `' ~0 r& f9 b( h 0.053969849246231
# X1 G) b) S$ W3 s6 Q1 a 0.054572864321608+ O/ C3 Y8 v9 @6 p$ [
0.055175879396985
4 T" s' w/ p1 ?% ^$ {5 {2 k( @+ n# l 0.055778894472362+ J* ~: a' g" _
0.0563819095477392 M: u5 F$ Z2 H4 {3 e6 |
0.056984924623116
. y% m4 L% M" g ]) [/ s5 N 0.057587939698492+ H; b' c( a- o/ {7 S% j8 i
0.058190954773869
- y7 l- h4 _) s3 ~- z- Z E 0.058793969849246
& c; F& D/ ~# [6 R3 u! |+ T 0.059396984924623
* o8 |: Z& S, @) J; J; ]9 J: x 0.060000000000000
7 f1 O& {7 g- Y& V' u% R" w) l& \3 R7 [5 V5 X
m z$ A# P( y* m4 {: Nans =
% ^, L) k; M6 U' G+ f8 L
9 C1 h! \) L; d# } v% h! Q" B -1.0336895406537167 x6 P$ H' S- C) s
-1.013619827890691
4 n% m- G+ E# p, \. U' a -0.994621366531083
) C; O0 U3 m* a0 O -0.976510534039504
; m/ r& I1 K/ N -0.959151639002957
3 V- g1 E9 L5 q -0.942440908631668, C$ X* o: l, D5 R9 d
-0.926296779035772& e0 O, h" O+ x% l
-0.910653694311287
! ]' m2 @/ f# W/ ]% t h2 Y0 V' c -0.895457976752101
8 V" y2 P' z$ @$ q+ @ -0.880664979264975
2 I6 C4 S! X \; V$ A4 z* E! y -0.866237063671064
3 D9 U* D% |7 @5 M -0.852142129100671
& \4 n$ p o! {6 ? -0.8383525174605608 E' M# g8 i/ O4 J
-0.824844183890339
& m/ ?3 v2 G- E8 X0 F+ m, K -0.811596057546419
7 M4 v9 J8 V. [4 Y -0.798589541746273
) j% h. z5 H- _5 r4 X -0.785808117918193
6 v2 m& B$ c( q -0.7732370280687397 j* `' Y. ~$ j4 ]- M9 R
-0.760863017467603! ~& Z! b. g- v# o. ?0 ~
-0.748674124097121
/ e' X: q# L2 Y5 k) U' S" o# k6 i -0.736659504835453
) K7 x$ J! C+ C+ j# u- E$ [ -0.724809290796292/ x5 z+ R5 S' q5 N! ^; s
-0.713114466033284
6 E# k- t4 y- D4 v/ G3 W d* x -0.7015667651334522 U+ w+ ^, Q% q; t, M P: D6 c
-0.690158586205827! D' L4 Z( J8 }% R2 h- P {" E
-0.678882916512848
8 A, ?4 A# @9 C7 w- ^ -0.667733268556930
' ^# V" ~$ S* ^5 f# L# v3 H -0.656703624869929+ ]# z" }2 P, A( \: \1 H' F: S: P
-0.645788390090937& _5 X! h2 l" M9 z4 F
-0.634982349182892, q" S' `6 h2 G! `# A, q
-0.624280630847343. d `7 M: _4 k: m( s8 z( U
-0.613678675363112
# M- C8 D" k6 y -0.603172206207723
/ ]( \4 r/ |5 ~5 K* |! p -0.5927572049278872 h& O. ?8 b, m' C! B
-0.582429888812360; v: a) m6 m8 e- ]& Y: k; N3 u
-0.572186690991612
1 l9 c6 d" N# i, Y- a2 n; q -0.562024242646965- j+ q$ p8 o7 ]! H) {
-0.551939357060015
1 A2 W* q8 y; g -0.541929015272840
1 g+ n) k4 P; W& y- ]1 \1 H -0.531990353162879
3 I: e2 u" B) j! S8 R9 A) o -0.522120649763841+ G, P" M' A s7 ?$ _
-0.512317316687512
$ h! I0 O5 r: l) w% `8 t& R! m -0.502577888520921
7 O% s- @% x7 l: n" H0 A' W -0.4929000140898365 Z2 [6 ?! ]4 Y
-0.483281448493885: X7 z, x0 v E$ e3 J# `8 ?/ F
-0.473720045830499, L# W" I; W# o2 R9 _
-0.464213752535263
. |) M6 P( x- {$ ?. V& ] -0.454760601275071
3 G# w' M& ^+ o# V6 U4 C' k- W -0.4453587053381400 j* f7 g# p% h& x, {) m/ Z* ?
-0.436006253471471# T) r2 F: A7 U) F2 F/ q4 \
-0.426701505122098
* n- B3 T! X4 `0 H0 e -0.4174427860433970 ~0 m7 h9 O* B$ K+ `
-0.4082284842319920 i# v9 t* R0 S! D. X& y- ]
-0.399057046164675
2 z) f& h8 e M( Z -0.389926973307911
4 g$ }+ ?, h, p0 j -0.380836818875499
( I" N2 S h" F; N -0.371785184812454
9 a# ?5 b. l/ H% x/ C -0.362770718985392
7 `: Y: r, K# A8 l -0.353792112561766
; ?% ^- U6 c( {# Q1 j0 ` -0.344848097561934% c/ M. E' b/ p; X2 j- i- ^; @
-0.335937444569670- f; U" I9 y. J# f( K+ b& U" l
-0.327058960588106+ h" d' G/ W3 q! c% D k: p
-0.318211487029265+ q) o, [7 f$ n: G5 c
-0.309393897826506# j& w. g$ f$ |; r
-0.3006050976601217 y* p* u0 o1 a: g4 M
-0.291844020287246
% w/ [! v B4 P/ ~8 y' x -0.283109626967980, f5 p5 } X7 n$ p$ o ]9 C% K
-0.274400904980369% [3 u% {0 Z( n6 q- c
-0.265716866217476( k4 h- H! F6 W2 E7 F2 f3 |
-0.257056545860381# G' I5 c9 [1 k7 b3 `5 k; [) I
-0.248419001121443/ x( T( l7 b; |6 J
-0.239803310052597. o7 e) \/ ?3 ?' ?
-0.231208570413935- W6 P; y3 H2 d+ x |
-0.222633898598121
8 q& q+ V+ L t/ } -0.2140784286065946 A( F5 X6 e y5 ^& x
-0.2055413110737912 _* g! G0 E" R( i
-0.197021712335900* @/ y2 u: Y6 c' C! j! F0 ~6 ^
-0.188518813540922
7 c9 A; W4 t0 t t -0.180031809797061( `- J! y+ m% G$ b- U* V) v: P
-0.171559909356608- K! {! v& Z8 S. ?9 e& z
-0.163102332832782
: n" z1 w" f) N$ K' d5 P -0.154658312447061
S& b# u! q6 \ -0.146227091304754
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3 e6 ?% k$ v+ Q& d2 g$ C |
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樓主: shouce
