==== DIRICHLET - NEUMANN PROBLEM ====
  ---- GALERKIN WEIGHTING FUNCTION----
  APPROXIMATING FUNCTION: F0(X) + A1*F1(X)
  WHERE F0(X) = U0-SL(X/L)(1-X/L)
  AND   F1(X) = (X/L)*(1-X/L) + (X/L)
  X AT LEFT  END =  0.000000000000000E+000
  X AT RIGHT END =  0.500000000000000     
  ALPHA =   2.00000000000000     
  NUMBER OF SEGMENTS =         100
  DX FOR DERIVATIVE EVALUATION =  5.000000000000000E-004
 U(X) AT X=0 =   1.00000000000000     
 S    AT X=L =  0.500000000000000     
   -2.133333     * A1 +  0.8041667     =  0.5000000    
  U(X) = F0(X) +   0.6113281     * F1(X)
X=   0.000000       U(X)=   1.000000       DU/DX=   1.945313    
X=  0.5000000E-01   U(X)=   1.093652       DU/DX=   1.800781    
X=  0.1000000       U(X)=   1.180078       DU/DX=   1.656250    
X=  0.1500000       U(X)=   1.259277       DU/DX=   1.511719    
X=  0.2000000       U(X)=   1.331250       DU/DX=   1.367188    
X=  0.2500000       U(X)=   1.395996       DU/DX=   1.222656    
X=  0.3000000       U(X)=   1.453516       DU/DX=   1.078125    
X=  0.3500000       U(X)=   1.503809       DU/DX=  0.9335937    
X=  0.4000000       U(X)=   1.546875       DU/DX=  0.7890625    
X=  0.4500000       U(X)=   1.582715       DU/DX=  0.6445313    
X=  0.5000000       U(X)=   1.611328       DU/DX=  0.5000000