Find intersections of curves

3 次查看（过去 30 天）
SAM
SAM 2022-4-24
编辑： Torsten 2022-4-24
Ran in:
hello, I have the following two formulas and I want to know How can I find the intersection point of the two curves and how to mark it on the graph?
syms bL
ab=8.0901*10^(-5);
f12=ab*sinh(2*bL);
f22=sin(2*(ab)*bL);
fplot(bL,f12,'-or');
hold on
fplot(bL,f22,'-ob');
thank you

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采纳的回答

Matt J
Matt J 2022-4-24
编辑：Matt J 2022-4-24
Ran in:
syms bL
ab=8.0901*10^(-5);
f12=ab*sinh(bL);
f22=sin(2*(ab)*bL);
bLmax=fzero(matlabFunction(f12-f22) ,2 );
rts=[-bLmax,0,+bLmax];
fnum=matlabFunction(f12);
fplot(bL,f12,'-r');
hold on
fplot(bL,f22,'-b');
plot(rts,fnum(rts),'ok','MarkerFaceColor','k')
hold off
xlim([-3,3])
ylim([-0.001,0.001])

更多回答（2 个）

Torsten
Torsten 2022-4-24
bL = 0 is the intersection point.
hold on
plot(0,0,'.')
  2 个评论
SAM
SAM 2022-4-24
I want a value other than 0
Torsten
Torsten 2022-4-24
编辑：Torsten 2022-4-24
a = 8.0901e-5;
fun1 = @(a,x) a*sinh(x);
fun2 = @(a,x) sin(2*a*x);
f=@(a,x)fun1(a,x)-fun2(a,x)
x1 = fzero(@(x)f(a,x),[2,2.5])
x2 = fzero(@(x)f(a,x),[-3,-2])
x=-2.5:0.01:2.5;
plot(x,fun1(a,x))
hold on
plot(x,fun2(a,x))
hold on
plot(x1,fun1(a,x1),'.')
hold on
plot(x2,fun1(a,x2),'.')
hold on
plot(0,0,'.')

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Sam Chak
Sam Chak 2022-4-24
编辑：Sam Chak 2022-4-24
@Shahd Kasas
Try performing analysis on the problem first, before quickly attempting to solve it. The hyperbolic sine is unbounded. Do you think there are intersections other than the trivial solution at bL = 0? Seems there are another two at .

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