function solve_nonl_single1
8 h6 F( c$ ?# ^3 u% E6 Aclear all;clc
1 m& k7 W3 d# n# Q6 rformat long5 e7 ?) c& g! j) c! M6 ]& N/ u
global a' M. h" \; V/ u4 {" E; b4 r
a_span=linspace(-0.06,0.06,200);
2 T1 v7 M% f) |/ m" cn=length(a_span);. m0 x: L3 i3 N! X9 ]) R/ S
x0=1e-9;
) x2 ?6 A* w7 B% _4 Soptions=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);
6 t& G' ?0 J/ ifor i=1:n1 I, Q, v& U" C8 T
a=a_span(i);
' Q1 y: J' i, p- |$ I3 ?3 p, }5 r x(i)=fsolve(@nonl,x0,options);- j- _, A, I, T3 i
y(i)=nonl(x(i));
4 [0 M/ q- r, @0 p7 Q& N F' d' oend
) c' x" l* i' p+ f9 ta_span', x',y'& U) e! T+ T9 J3 l. q; m
function f=nonl(x)' i6 g* Q5 |8 w6 m- _
global a" c* Y; ~5 r# I9 P3 d4 W3 c9 `4 ]
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));3 j0 p! C' Z; p4 Q+ a2 L" [) m
: z+ T) Z/ B* a
运行结果 ans =
/ j( Q8 {% W& |) D& p8 s* Q -0.060000000000000
8 X+ F8 Z, S4 x- _( k# K0 u -0.059396984924623 `$ \5 o& W/ P1 k8 n+ T
-0.058793969849246
* h8 s& H) d9 J, s -0.058190954773869
% c" T# M4 U0 `. r -0.057587939698492
9 g- K, }. S; m2 V2 E. j. O Q -0.056984924623116
' N) j* K* C6 n -0.056381909547739! o' a4 S( L8 ~' M! x2 {
-0.055778894472362
( {# `. b* E& x( G9 B& R -0.055175879396985( f( J5 j/ y$ W( [2 y& o0 g
-0.054572864321608
' N' J* d6 ?7 R6 j/ Q* M' |8 p -0.053969849246231
, o. R6 |; s2 K4 _, H% \ -0.053366834170854
8 W2 Y6 S. J; u4 m ?( {3 G' j/ g9 v -0.052763819095477: t1 W$ @2 R# D5 O9 G% O
-0.052160804020100
& O5 [; R/ `4 } _: n8 R -0.051557788944724
( Z5 E4 k: d7 [8 B9 M! `7 A# v -0.050954773869347/ u4 [) ?7 t" I3 w# P% X( f+ G
-0.0503517587939702 r$ [* Y" y' m8 v
-0.049748743718593
7 o% {- }+ h2 r' J. a8 y -0.049145728643216
4 w$ f5 Q/ O& L7 N; o% k -0.048542713567839
* x& E+ a7 D; c1 U5 Z3 `# F; C -0.047939698492462
/ k% `9 ]; D6 q -0.047336683417085
: V6 o! t0 B2 G/ ?5 F -0.0467336683417098 g7 M/ r' |" V& A4 N W
-0.046130653266332- ]: X0 m# y1 K Y) `* E
-0.045527638190955
- D6 i `- `* b2 |2 F -0.0449246231155785 J4 L. v8 t0 A5 Y! g3 _$ s
-0.044321608040201
8 w( ]; |& Z$ f) S! h -0.043718592964824
' ^. V9 y4 }: J4 p) o9 W2 } -0.043115577889447
" w, I; u# N1 t$ j+ F -0.042512562814070
; |9 T$ w! E1 a' a0 K* `0 g0 J2 ^% I -0.041909547738693/ R! @/ I, Y5 W1 M, Z
-0.041306532663317
4 i# b8 M+ n+ q/ U5 P -0.040703517587940
! @+ x( h+ j0 s' A' ^+ \ -0.040100502512563
; B# A- v- E% _9 V5 \2 K -0.0394974874371860 e! e3 O9 W1 x7 K
-0.038894472361809% R; c- C6 L0 |+ @- J( h
-0.038291457286432. f: A. [" ?/ r# h; V$ m( b
-0.037688442211055
' `2 X' A0 d' I: A3 X7 D) C) N: G, b -0.037085427135678 p, ^4 ~$ X9 N/ h
-0.036482412060302
1 T9 M, S; w& V( c: a2 E2 w -0.035879396984925
) B. ]; X& M8 O4 t: b -0.035276381909548
" ^. p5 g& `2 Z, ] -0.034673366834171
5 p1 \: c* Y+ v( q( I -0.034070351758794
! T' p& C# J1 y% ^- x4 N; O -0.033467336683417
( m4 Y: ^/ N" q; z# ]( w: m -0.032864321608040. p. u) k# p% X, s- q% V8 [1 G
-0.032261306532663! W T/ U# V+ R0 y d
-0.031658291457286/ A, V0 o0 y9 E: C8 G! W
-0.031055276381910: i' B+ d; C; r. f: h
-0.0304522613065330 Z9 g& u+ _' q0 f
-0.0298492462311569 Q( h3 E$ L/ L
-0.0292462311557792 J9 g3 A2 p' x
-0.028643216080402
/ j5 N' U& B% t9 E6 w6 j0 j -0.028040201005025
3 L6 x( L$ d" B -0.027437185929648) h# k; n" z: ? t
-0.026834170854271
) w& K! o |1 N$ w -0.026231155778894
& w9 d' y- @' ]4 O6 U -0.025628140703518
: R5 ~5 P3 a5 ` -0.025025125628141
; ^' u% a; T: \* h2 c3 Z0 p n" j -0.0244221105527640 P# j% y+ n0 f
-0.023819095477387
" z( v. z! z' J' \* l -0.0232160804020100 T0 k2 u7 a5 C
-0.022613065326633
2 p+ |# N: R$ f5 ^ B/ r -0.022010050251256
& q/ u2 |3 n, M- r8 @ -0.0214070351758793 Q/ Y! X0 r0 L" }
-0.0208040201005030 r# x' n E m- N
-0.020201005025126% j) t7 s( i2 W3 r) W" S
-0.019597989949749% k4 G, [( U& n" y+ I ?: \
-0.0189949748743721 T# |& M: i' A0 l2 d4 D
-0.018391959798995 q+ P- D" }' d" G/ y
-0.0177889447236188 W1 h, O& S Q' T% Z) P- h" H
-0.017185929648241( {6 v6 q1 M4 |' D0 Z% _' l- ^0 B
-0.016582914572864
. E" o/ V2 _* x5 q% Q* s -0.015979899497487- \7 p; C; Z" h( o( d
-0.0153768844221111 b/ c0 E5 J! [2 }, T; t
-0.014773869346734
6 V! L4 V% v! j9 }4 {% a9 V -0.014170854271357
* o0 t' m; {7 n+ V# O -0.013567839195980
) H5 K! a' I( V' A. h2 d( J) F; H) R6 \1 B -0.012964824120603" z) U U8 {' o( j+ @% F
-0.0123618090452268 e! a* H7 u" g: v' F4 h D5 u
-0.011758793969849
$ u: q% Z$ l+ m) C, D -0.011155778894472# ^+ j4 e* |) E; h: g& s
-0.010552763819095
5 ]$ P$ p/ k, I -0.009949748743719
7 C: c4 ^$ ]" H- _ -0.009346733668342: W+ ^' H0 a2 I3 z* P
-0.008743718592965) S. p# D8 Q$ p# `
-0.008140703517588
- Z+ n# k' P9 R' X/ G -0.007537688442211
! n7 y _- N% C+ k/ X$ ] k -0.006934673366834' x; }1 D+ B+ u4 Y- }7 O" a
-0.006331658291457
, X+ k) ?! V7 h$ @ ^8 ^ -0.005728643216080
4 e1 ~5 J5 D2 ?- N' Z5 z( r* h7 f4 t2 Q+ D -0.005125628140704) C/ J$ b3 r) W
-0.004522613065327
6 Y# G, @* N2 C1 M b -0.003919597989950; z8 d% Y0 {9 @; B- d) X
-0.003316582914573
2 v w) |1 t+ z5 W& Z -0.002713567839196/ k1 X T; d8 n$ B! p
-0.002110552763819
0 l g7 R% |+ { -0.001507537688442# R+ Y4 ~! {1 [, x Y0 T
-0.000904522613065
% ~/ \; {5 [4 |* R3 b* j* _ -0.000301507537688# v# A# b- X/ c4 z
0.000301507537688& I- K1 b$ K/ c/ f' j# c: n+ b6 o2 p E' R
0.000904522613065
T5 i# Q) s, p; }8 ~$ d1 `& }% c5 c 0.001507537688442
; c4 K ^- a7 \) c' z 0.002110552763819/ B+ O( d$ t' _
0.002713567839196
% F: q) s; A* s& }% E6 T 0.003316582914573- {3 t1 b6 h8 u' x
0.003919597989950$ W7 M) j f$ F9 L- g3 m
0.0045226130653272 M3 I9 W2 I! R
0.0051256281407042 g$ G9 b( l6 z, W5 j7 z9 p
0.005728643216080
: _: C* D$ K, E" T0 z' u0 Y& ] 0.006331658291457
2 c7 X( m' C# M8 c' L5 x 0.0069346733668343 |0 v. U0 I7 J( C; k
0.007537688442211( U3 U7 o+ W2 ^
0.008140703517588" d5 Y: z) u( ]( D
0.008743718592965
" n3 i: P1 n. o c/ J% F 0.009346733668342) j6 P: L0 p; b
0.009949748743719
2 r8 M2 U5 n* d0 _! ~/ g 0.010552763819095
[! G X! y, y# S$ m 0.011155778894472
; f; j. |( q' }$ x7 {2 F 0.011758793969849
- ?3 L0 I* x" K0 Y 0.0123618090452261 r) R" n7 F# X4 [$ T
0.012964824120603
0 y( l/ X- M/ G& h6 \6 {* }: T 0.013567839195980
5 C3 C% |6 p7 k: f4 z 0.014170854271357
- Y' J4 B P5 v 0.0147738693467347 X9 n/ _! T8 g3 i
0.015376884422111
: A& ?0 C+ M9 ~& ]% Y& L% O 0.015979899497487
7 F4 i# c2 o Y) Z7 e6 ] 0.016582914572864+ m' z+ I% |# p; Z+ C
0.017185929648241
- {1 J3 H( I/ \7 s 0.017788944723618" S# X. n# G. g- t3 j$ E+ I% m
0.018391959798995+ p* _8 O( E" Q2 I
0.0189949748743727 T: x6 I, [7 D
0.019597989949749
& J6 P0 Y5 |2 f) |; I: p c, A* ? 0.020201005025126; m$ D( P3 D: B& X- {
0.020804020100503) B/ N6 r. @6 [1 A" s- J. |
0.021407035175879+ u# m) C6 Y) I" S
0.022010050251256
( B2 Z7 d7 c+ y! ?( @* I0 M 0.022613065326633
0 y! \( r X4 _ g: C/ t# k9 R$ S+ V! b/ V 0.0232160804020102 W7 i' ?' Y; S# d9 v. L8 p! x
0.023819095477387( H# p; }; [1 }2 v- W
0.024422110552764+ w* D' Y- b$ i8 u8 g
0.025025125628141" h/ I: b5 L/ l0 h
0.025628140703518* G; A! j! v& d$ E( ?% f( `% y
0.0262311557788941 y% L5 p& m! T. ]
0.026834170854271( @, ], L0 _+ W2 ?9 B3 P+ r
0.027437185929648
* e6 w* X8 b" d: y1 r4 \; V 0.0280402010050254 R* s% `& ]+ L' D o: U: m
0.028643216080402
5 ~( ~) ?' c3 x% e* ?" E5 M6 p 0.029246231155779" n; B2 d: I8 |( a: m; z; @( ]
0.0298492462311565 [) w% v4 q' m# p: Z
0.030452261306533
! V# v8 I1 O4 s5 f7 E; Z! ^ 0.031055276381910
9 k1 C( p4 F' R8 `; p 0.031658291457286* i2 S0 {' M/ S1 v
0.032261306532663
* z& j1 p9 \$ d. ?+ p, H. u 0.032864321608040. P+ D, p$ b @) f' l& G2 E
0.033467336683417
9 z! a4 q' u& {0 y9 a( s- {! B 0.0340703517587943 }$ A% ]' y7 O( a: M. o' `
0.034673366834171
- ^0 R: p$ \3 Q- l6 V/ B# ? 0.0352763819095487 r) M' ~0 k3 o
0.035879396984925
- s% X. g5 k D, q; |% e3 P 0.036482412060302
3 g5 \, i' b0 S- o& T# J, X 0.0370854271356788 n; X: H1 U- ]: A% j0 U( U
0.037688442211055
! w# O) b+ K; r7 [% ^; P! { 0.0382914572864328 b; F6 j+ U* |2 U/ G- A" } M
0.038894472361809; C x, f0 X( [% a
0.039497487437186$ ^4 P& E/ F; U6 @5 y! x, \4 x% U
0.040100502512563
$ z- A4 b" o, s, X6 r- b 0.040703517587940- j! H! y o, a, y8 g
0.041306532663317' ]6 }1 a. P7 \* r5 ~
0.041909547738693' m, N' G# Y! B2 K" r2 V0 V
0.042512562814070 S0 Q# U. o5 R
0.0431155778894470 M9 _2 W7 y4 F" j) f
0.043718592964824
# X) J7 r; G7 T; I0 c2 s3 `* K 0.044321608040201
$ o1 m C9 i) u: _ 0.0449246231155781 U ]2 x9 X2 D" E; y9 d
0.045527638190955' D7 @7 V7 }+ U
0.046130653266332
( T1 X0 z1 Y9 o! z/ g 0.046733668341709- ]- ?; P" T2 S0 C
0.047336683417085
/ c$ E! G7 S9 c* }1 z0 J 0.047939698492462
& Q' W/ h: B$ J, ~1 X 0.048542713567839
6 g# e6 u0 p ?9 T! \ 0.049145728643216
& [5 F( k* a& v 0.049748743718593; E8 j, Z _7 S% {# R+ m/ c
0.0503517587939702 j' ~7 O, S% R4 f1 l8 V7 U. \. l
0.050954773869347
u! C: K; U# n- F' O* m" y+ k 0.0515577889447240 z0 o5 r5 K, d; d1 K6 \" T
0.052160804020101. x0 B3 Z2 D# ^- Q
0.052763819095477! R: w- [, o' R& Y( r
0.053366834170854/ y& w* U/ x6 h$ c, v
0.0539698492462313 Y8 y% T1 t1 n% w
0.0545728643216088 S& {- X# a- o/ g$ V: t; d
0.055175879396985% a: x/ o' s. C& S3 i
0.055778894472362
& ?( o% _8 [3 ]& ? ? 0.056381909547739
/ O* N; L( v& w- l2 b 0.056984924623116) l1 { V2 z, I: [7 y( g- i# L
0.057587939698492
+ d- W: ~) n( X" N& A' S+ D 0.058190954773869
0 V7 @% B2 H0 i% `4 Z 0.058793969849246
1 b& M: G' t H/ T q, O+ j 0.059396984924623' O+ C0 R7 m* ?7 C0 h/ K
0.060000000000000; K2 S: F6 j- z' K" w! S( g
9 ? x: ~' S+ v8 _+ z1 E4 }0 F4 e9 a
7 s- t3 y& |" y: D, ]ans =
% o' r" V- N x+ {5 Q
1 V/ n: k! I9 M) H. u0 _% ]( L -1.033689540653716, b/ ~- b5 u, ?# O8 e
-1.013619827890691- K6 Z- }" Z* o, x) ?) J
-0.994621366531083
3 Y3 C+ D) j$ f -0.976510534039504) A4 K3 y: T& i+ J9 R) ?+ T/ O# @
-0.959151639002957/ ^7 Z+ E- R5 E
-0.942440908631668
5 e) K4 _, D9 z0 m( F, T -0.926296779035772$ U( V' z2 S* H- L! x# J$ v, g) v
-0.910653694311287$ r/ D- O5 A, |
-0.895457976752101' B7 _0 `; W. z2 l
-0.880664979264975( P& @6 Z; ^$ z M4 O
-0.866237063671064
1 A' U, j, K0 J+ `; e -0.852142129100671( r1 b; c7 e0 }
-0.8383525174605609 H( x2 g+ C0 S3 X5 @! c
-0.824844183890339
2 G( ?, o) E0 w -0.811596057546419
* c" T$ a# M, B5 p -0.7985895417462737 @7 D* _0 q$ g* O( v j
-0.7858081179181934 t7 ^9 v: l6 z. r$ @' U- p+ W. }
-0.773237028068739% M' S2 `/ l) W& Z( X( X4 \2 ?
-0.760863017467603
" V/ {3 P) L$ m) L# x* [3 ]$ g -0.748674124097121
- A3 W, U( m. R, e -0.7366595048354536 y M& P, n7 u- K
-0.724809290796292
+ d* {5 H; e5 w% b8 R( A) e -0.713114466033284
' Q9 j* g( a: k9 _, N -0.701566765133452$ T; l8 z) T# A- W
-0.690158586205827
2 H4 a; A u$ H& w1 q, x5 b -0.678882916512848( d6 c6 a3 z1 N, g' l' x
-0.667733268556930* c/ `% C5 h. J
-0.6567036248699299 ^; o5 C& a5 p' p) f
-0.645788390090937" U7 W l' f' M9 W
-0.634982349182892
9 o6 E, b: n9 j: U -0.624280630847343" P0 _! ~/ j/ ^' B# L* Z
-0.613678675363112! \, T+ z% ^) ?6 P8 N( W" |% W
-0.603172206207723
; h% {: y) Q, }7 d -0.592757204927887: I2 ?; h( q! f" c
-0.5824298888123605 C8 H! f! x+ ]+ J6 t
-0.572186690991612: h$ c! y. M4 E; J3 s$ T1 ~ d- H
-0.562024242646965& W( x& G/ |- Y3 I" i
-0.551939357060015
: h7 I9 x; k1 b9 j5 _0 Y -0.5419290152728402 S! \& C( Z$ r6 E6 s. I7 r& S" J; N
-0.531990353162879- Q6 u& g7 M8 A/ X
-0.5221206497638410 z! }; T, m$ A) [; E1 N
-0.512317316687512$ v1 E% ?2 u% W: ~$ ]( N
-0.502577888520921% F# s5 |; c! R" N# k- T
-0.492900014089836
, Q9 D' d9 B# D! r/ E" ^. l -0.483281448493885
7 P; ` K& O) [% v. J. Y- g5 h! b -0.473720045830499) }; ^+ p. |4 @/ u5 g$ {* i1 X
-0.4642137525352633 b+ c c1 X& O4 g
-0.4547606012750715 C. [8 @" y5 v8 M) h1 X2 X
-0.445358705338140
8 y4 C( x- `8 @- Q. H -0.436006253471471) v: _) \+ S; ~4 }% s
-0.426701505122098% v! c" ]) {" k- Z X1 D( M
-0.417442786043397
+ \7 ]$ [ V( ]) s& T" t' Z -0.408228484231992
# W% I) x/ m8 ^ Q$ c5 Z -0.399057046164675
; ]$ o+ D4 \& e# ~+ J$ s* } -0.389926973307911, E" |# L4 E* q) y4 X L2 Y" @: U( U. v) r
-0.380836818875499
0 x' H. A' w; T5 o! n -0.371785184812454
$ {+ \3 A" S4 K& o' Y8 J! q- `1 P! v -0.362770718985392- j, T! L' x( H# o) h
-0.353792112561766
% q n! d( D, o, v -0.344848097561934
' F2 W+ q$ H. Q% u -0.335937444569670
4 ~# @; v3 q3 h' Y, f0 z& X8 u( Z -0.327058960588106
7 c% h6 ?! f: y3 W& o, r -0.3182114870292654 W; Y* p2 x8 q( A, Z
-0.309393897826506
5 P* n5 d, O1 }, v, K0 u -0.300605097660121
/ z9 Y3 r2 f5 N -0.291844020287246$ l1 H$ l+ Y4 a% n% b" L4 M* k" J
-0.283109626967980/ y0 }* g# @' D9 p1 N4 Y
-0.274400904980369- B4 k5 m) }6 i; A
-0.265716866217476+ U: k9 V! j- y$ G
-0.257056545860381
. z3 |+ T$ N& [% g6 F* n7 V# c$ M -0.248419001121443
, K g; a7 S6 u. `- v -0.239803310052597: y9 [7 q: [, |8 ^8 Z
-0.231208570413935- v. n* Z) q" v7 g {: V" }* `* b
-0.2226338985981217 c+ c9 j' @' l+ \/ Z% q
-0.214078428606594. t: _) W# Q. f: @6 X( Z
-0.205541311073791/ S0 ]' L3 Q4 d* [1 q- [; U$ q
-0.1970217123359003 P; H/ z, V8 C P( Z- J
-0.1885188135409229 H; f J" _" \* G" c/ A$ Z
-0.180031809797061
9 _1 Z8 z2 y. }+ s9 Z' Y -0.171559909356608
2 R0 g. q7 \. ]' }/ i; a$ b -0.163102332832782
4 a0 _, [$ B7 @8 N' j -0.154658312447061
: S2 d8 e$ J5 _* W* R0 z -0.146227091304754
$ H5 u% t, M3 I+ H -0.1378079226966917 U1 Q& r/ r; O+ R+ I
-0.1294000694250414 Y- F0 \. ?* ? i2 z' Q
-0.121002803151371
$ S& A. M% e' ^1 C' n( U8 |! _" ? -0.1126154037652004 z9 b. s3 g3 [) N
-0.1042371587713627 V2 u7 ~( x- N3 l- p% `! D6 h
-0.095867362694613
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) z7 M( F$ ?: i* R
; ~" k+ V) }! t8 Y' y |
楼主: shouce
楼主