==== 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