Thank you, this tutorial is very useful.

Thanks

I have an example for using bvp4c
consider we will solve a bvp problem like this
y"+y'=x
y(0)=-1
y(1)=4
Matlab code:
dydt=@(x,y)[y(2); -6*y(2)+x];
bc=@(ya,yb)[ya(1)+1; yb(1)-4];
yinit=@(x)[exp(-x); -exp(-x)];
solinit=bvpinit(linspace(0,1,20),yinit);
sol=bvp4c(dydt,bc,solinit);
% "sol" callback you three part:x,y,y'
plot(sol.x,sol.y(1,:))

These tutorials are excellent, but I still need help in solving a system of coupled differential equations using bvp4c.Ref. (ex8bvp)

(1+N)f'''-f'^2+ff''-NLf''^2f'''-R(1+N)f'+(RNL/3)f''^2f'+g+Kh=0
g''+P(2fg'-f'g)+Kh''=0
h''+c(2fh'-f'h)+Sg''=0
with
f(0)=0, f'(0)=0,g(0)=1,h(0)=1,f'(infinity)=0,g(infinity)=0, h(infinity)=0

Could anyone help me solve this problem:
Equation : d2y/dx2 + y = f(x)
Restrains: y(a) = m; y(b) = n.

Thank you so much for your help.

How do I actually watch this file? Website is taking me in circles.

Why in the example 8 they can have more boundary conditions than equations?. I want to do something similar; solve a system of two equations with 4 boundary conditions, but matlab only let me put 2 boundary conditions.

There is a bug in example 4, which cause it to not follow the boundary values,
the correct res. function should be:
res = [ ya(1)
yb(1)
(ya(2)-yb(2)) ];
which is not dependent on T, instead of
res = [ya(1) - yb(1)
ya(2) - yb(2)
T*(-1/3)*(ya(1) - 0.7 + 0.8*ya(2)) - 1];

Its good for beginners

I can't understand how can I chose the right guess... and for examples the two guesses in example 1. Can somebody help me?

I was wondering to solve:

y1'=A1*y2'+B1*y3+C1*y4
y2'=A2*y1'+B2*y3+C2*y4
y'3=0
y'4=0

but I could not use the tutorial,

downloading problem

bvp4c is really helpful in bvps. I have a question,
to solve a bvp like
d^y/dx^2 + y=0 where y and x are both vectors how can I modify the code?

helpful, thx

with ode45 solving initial value problems I have no problem,but to use bvp4c I have some problem,most of time I receive the message,
??? Error using ==> bvp4c
Unable to solve the collocation equations --
a singular Jacobian encountered.I try to change initial guess but I'm reiceving the same message.bvp4c need to be improved in order to help user strigling to solve two-point boundary value problems.

Hello, I want to solve 24 diffrential equations in matlab using BVP4C but it says singular jacobian . could you please help me

Excsellent

Excellent

Poor
Needs Improvement

You strongly help me to solve my numerical problem

I hope people with basic knowledge of pure mathematics will find it quite useful.

Its a very good tool fou boundary value problem. One can learn a lot of from this m.code.

It is a very good resource. However, the m files of examples could have more comments. For example, in example 1 it does not explain what is used as initial guess.

F.L. Lewis , Optimal Estimation , NY John Wiley & Sons, 1986

I am working on CFD(non-Newtonian). The tutorial by Dr.Jacek helped me a lot to improve my skills.

Mr.Kierzenka,thanks a lot.The tutorial is very useful.

Helped me a whole lot!! - from zero knowledge of Matlab to calculation of the polyelectrolyte density distributions in colloid crystals (involving nonlinear coupled systems of BVP's) in 3 weeks! Without bvp4c and this tutorial, i'd be torturing Fortran, c++ and myself as we speak.

Summarize everything you need to know

perfect to learn.

good

i ned matlab r14, because i will do the project with the the help of this software

much helpful to begineers