Thu Mar 12 11:52:18 2026

collocation_test():
  matplotlib version: 3.5.1
  python version:     3.10.12
  numpy version:      1.26.4
  Test collocation().

collocation_test01():
  Collocate the equation F(X)=SIN(X)
  Let N be the number of collocation points.
  Choose N points X in [0,2Pi].
  Let G(X) be a polynomial of degree N-1.
    G(X(1:N)) = SIN(X(1:N))
  is N equations for the N unknown coefficients in G.
  Graphics saved as "test01.png".

collocation_test02():
  Collocate a two point boundary value problem.
  Let N be the number of collocation points.
  Choose N points X in [0,2].
  Let G(X) be a polynomial of degree N-1.
    G(X(1)=0.0) = 1.0
    G"(X(2:N-1)) = G(X(2:N-1))
    G(X(N)=2.0) = exp(2.0)
  is N equations for the N unknown coefficients in G.
  Graphics saved as "test02.png".

collocation_test03():
  Collocate a two point boundary value problem.
  Let N be the number of collocation points.
  Choose N points X in [0,2].
  Let G(X) be C1+C2*X+C(3:N)*SIN((1:N-2)*PI*X/(N-2)).
    G(X(1)=0.0) = 1.0
    G"(X(2:N-1)) = G(X(2:N-1))
    G(X(N)=2.0) = exp(2.0)
  is N equations for the N unknown coefficients in G.
  Graphics saved as "test03.png".

collocation_test04():
  Collocate a second order initial value ODE.
  Let N be the number of collocation points.
  Choose N points X in [-3,2].
  Let G(X) be a polynomial in X of degree N.
    G(-3) = A
    G(-3) = B
    G"(X(I)) - 6 G(X(I) + 13 G(X(I)) = 0, I = 2...N
  is N equations for the N unknown coefficients in G.
  Graphics saved as "test04.png".

collocation_test():
  Normal end of execution.
Thu Mar 12 11:52:20 2026