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10-Sep-2024 21:49:43

convergence_test():
  MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7
  Test convergence().

convergence_n_test01():
  A computation has been carried out with n=2^k intervals,
  where n = 8, 16, ..., 512, and for each n, the
  approximation error e(n) was computed.
  convergence_n() estimates the convergence order.

  The number of computations was 7
  The size n = 2^k was
     8    16    32    64   128   256   512

  The errors e(n):
    0.0117    0.0002    0.0001    0.0000    0.0000    0.0000    0.0000


    n(k)  error(k)   eoc

    8  1.17e-02  NaN
   16  1.76e-04  6.05
   32  9.94e-05  0.82
   64  2.40e-06  5.37
  128  2.02e-07  3.57
  256  6.46e-09  4.97
  512  3.07e-10  4.40

  eoc mean       4.20

convergence_n_test02():
  A computation has been carried out with n=2^k intervals,
  where n = 8, 16, ..., 512, and for each n, the
  approximation error e(n) was computed.
  convergence_n() estimates the convergence order.

  The number of computations was 6
  The size n = 2^k was
     4     8    16    32    64   128

  The errors e(n):
   1.0e-04 *

    0.6058    0.2048    0.0566    0.0147    0.0037    0.0009


    n(k)  error(k)   eoc(k)

    4  6.06e-05  NaN
    8  2.05e-05  1.56
   16  5.66e-06  1.85
   32  1.47e-06  1.94
   64  3.75e-07  1.97
  128  9.45e-08  1.99

  eoc mean       1.86

convergence_h_test01():
  A computation has been carried out with intervals,
  of size h(k), for k = 1 to 5.  For each h, the
  approximation error e(k) was computed.
  convergence_h() estimates the convergence order.

  The number of computations was 5
  The mesh sizes h(k):
    0.2500    0.1250    0.0625    0.0312    0.0156

  The errors e(k):
    0.0693    0.0186    0.0048    0.0012    0.0003


    h(k)  error(k)   eoc(k)

  0.250000  6.93e-02  NaN
  0.125000  1.86e-02  1.90
  0.062500  4.80e-03  1.95
  0.031250  1.22e-03  1.98
  0.015625  3.07e-04  1.99

  eoc mean       1.95

convergence_test()
  Normal end of execution.

10-Sep-2024 21:49:43