==== 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 = 1.00000000000000 NUMBER OF SEGMENTS = 100 DX FOR DERIVATIVE EVALUATION = 5.000000000000000E-004 U(X) AT X=0 = 1.00000000000000 S AT X=L = 0.000000000000000E+000 -2.400000 * A1 + 0.3333333 = 0.000000 U(X) = F0(X) + 0.1388889 * F1(X) X= 0.000000 U(X)= 1.000000 DU/DX= 0.5555556 X= 0.5000000E-01 U(X)= 1.026389 DU/DX= 0.5000000 X= 0.1000000 U(X)= 1.050000 DU/DX= 0.4444444 X= 0.1500000 U(X)= 1.070833 DU/DX= 0.3888889 X= 0.2000000 U(X)= 1.088889 DU/DX= 0.3333333 X= 0.2500000 U(X)= 1.104167 DU/DX= 0.2777778 X= 0.3000000 U(X)= 1.116667 DU/DX= 0.2222222 X= 0.3500000 U(X)= 1.126389 DU/DX= 0.1666667 X= 0.4000000 U(X)= 1.133333 DU/DX= 0.1111111 X= 0.4500000 U(X)= 1.137500 DU/DX= 0.5555556E-01 X= 0.5000000 U(X)= 1.138889 DU/DX= 0.000000