Shooting Method coding in MATLAB (ode45 | fzero)

fzero() can be used either to find a zero of a single functions and or to find the intersection point of 2 functions.

The function must be an interval arithmetic function. Optional parameters are the function's derivative DF and the maximum recursion steps OPTIONS .MaxIter ( ...

Find a zero of a univariate function. fun is a function handle, inline function, or string containing the name of the function to evaluate.

x = fzero( fun , x0 ) tries to find a point x where fun(x) = 0 . This solution is where fun(x) changes sign— fzero cannot find a root of a function such as x^2 ...

Octave can solve sets of nonlinear equations of the form F (x) = 0 using the function fsolve, which is based on the MINPACK subroutine hybrd.

I'm guessing that Octave's fzero uses a different routine to find a bracket for a root when only a single initial guess is supplied.

如何建構矩陣以及加減乘的計算、建構zero matrix、建構identity matrix、建構矩陣的transpose matrix ... 這章節沒有額外的octave技巧，會用到的計算方式都已經在前面 ...

First things first. Your two files weren't equivalent, therefore a direct comparison of the underlying algorithms was difficult.

To initialize an options structure with default values for fzero use options = optimset (fzero) . On exit, the function returns x , the approximate zero point ...

Octave can solve sets of nonlinear equations of the form F (x) = 0 using the function fsolve, which is based on the MINPACK subroutine hybrd.