27-Mar-2026 13:00:42

bvp_shooting_test():
  MATLAB/Octave version 11.1.0
  Test bvp_shooting()

  A simple example of the shooting method,
  in which a boundary value problem (BVP) is solved
  using an initial value problem (IVP) solver,
  a guess for the missing initial condition ALPHA
  and a nonlinear equation solver.

bvp_shooting_test01():
  Seek the initial condition for y'(a) to determine
  the solution of a two point boundary value problem:
    y"=3/2 y^2, y(0)=4, y(1)=1.

  Iteration  Alpha  YB(Alpha)  F(ALPHA)

  -1  0  87.0722  86.0722
  0  -1  59.4109  58.4109
  1  -3.11165  26.6709  25.6709
  2  -4.76735  13.4165  12.4165
  3  -6.31838  5.95914  4.95914
  4  -7.34982  2.62795  1.62795
  5  -7.85389  1.33872  0.338723
  6  -7.98632  1.03108  0.0310764
  7  -7.9997  1.00067  0.000674096
  8  -7.99999  1  1.38178e-06
  9  -7.99999  1  6.16125e-11
  Graphics saved as "bvp1.png"

bvp_shooting_test02():
  Seek the initial condition for y'(a) to determine
  the solution of a two point boundary value problem:
    y"=3/2 y^2, y(0)=4, y(1)=1.

  Iteration  Alpha  YB(Alpha)  F(ALPHA)

  -1  0  -130.104  -125.248
  0  -1  -132.109  -127.254
  1  62.4608  -4.84423  0.010942
  2  62.4554  -4.85518  -4.19776e-06
  3  62.4554  -4.85517  3.46834e-12
  Graphics saved as "bvp2.png"

bvp_shooting_test():
  Normal end of execution.

27-Mar-2026 13:00:44