17 May 2009 09:09:27 AM FD1D_BVP_TEST C++ version FD1D_BVP_TEST01 A1(X) = 1.0 A1'(X) = 0.0 C1(X) = 0.0 F1(X) = X * ( X + 3 ) * exp ( X ) U1(X) = X * ( 1 - X ) * exp ( X ) Number of nodes = 11 I X U Uexact Error 0 0 0 0 0 1 0.1 0.0988456 0.0994654 0.000619791 2 0.2 0.194265 0.195424 0.00115929 3 0.3 0.281868 0.28347 0.00160261 4 0.4 0.356107 0.358038 0.00193121 5 0.5 0.410057 0.41218 0.00212343 6 0.6 0.435154 0.437309 0.00215408 7 0.7 0.420894 0.422888 0.00199386 8 0.8 0.354478 0.356087 0.00160876 9 0.9 0.220405 0.221364 0.000959349 10 1 0 0 0 FD1D_BVP_TEST02 A1(X) = 1.0 A1''(X) = 0.0 C2(X) = 2.0 F2(X) = X * ( 5 - X ) * exp ( X ) U1(X) = X * ( 1 - X ) * exp ( X ) Number of nodes = 11 I X U Uexact Error 0 0 0 0 0 1 0.1 0.0989564 0.0994654 0.000509024 2 0.2 0.194477 0.195424 0.000947935 3 0.3 0.282161 0.28347 0.00130963 4 0.4 0.356455 0.358038 0.00158279 5 0.5 0.410429 0.41218 0.00175124 6 0.6 0.435515 0.437309 0.00179313 7 0.7 0.421208 0.422888 0.00168002 8 0.8 0.354711 0.356087 0.00137563 9 0.9 0.22053 0.221364 0.000834439 10 1 0 0 0 FD1D_BVP_TEST03 A1(X) = 1.0 A1''(X) = 0.0 C3(X) = 2.0 * X F3(X) = - X * ( 2 * X * X - 3 * X - 3 ) * exp ( X ) U1(X) = X * ( 1 - X ) * exp ( X ) Number of nodes = 11 I X U Uexact Error 0 0 0 0 0 1 0.1 0.0988972 0.0994654 0.000568213 2 0.2 0.194367 0.195424 0.00105727 3 0.3 0.282016 0.28347 0.00145438 4 0.4 0.356292 0.358038 0.00174549 5 0.5 0.410266 0.41218 0.00191419 6 0.6 0.435368 0.437309 0.00194046 7 0.7 0.421089 0.422888 0.00179915 8 0.8 0.354628 0.356087 0.00145814 9 0.9 0.220488 0.221364 0.000876155 10 1 0 0 0 FD1D_BVP_TEST04 A2(X) = 1.0 + X * X A2''(X) = 2.0 * X C1(X) = 0.0 F4(X) = ( X + 3 X^2 + 5 X^3 + X^4 ) * exp ( X ) U1(X) = X * ( 1 - X ) * exp ( X ) Number of nodes = 11 I X U Uexact Error 0 0 0 0 0 1 0.1 0.09838 0.0994654 0.00108537 2 0.2 0.193367 0.195424 0.00205725 3 0.3 0.280603 0.28347 0.002867 4 0.4 0.354572 0.358038 0.00346628 5 0.5 0.408372 0.41218 0.0038081 6 0.6 0.433462 0.437309 0.00384652 7 0.7 0.419353 0.422888 0.0035354 8 0.8 0.35326 0.356087 0.00282654 9 0.9 0.219697 0.221364 0.0016676 10 1 0 0 0 FD1D_BVP_TEST05 A3(X) = 1.0 + X * X for X <= 1/3 = 7/9 + X for 1/3 < X A3''(X) = 2.0 * X for X <= 1/3 1 for 1/3 < X C1(X) = 0.0 F5(X) = ( X + 3 X^2 + 5 X^3 + X^4 ) * exp ( X ) for X <= 1/3 = ( - 1 + 10/3 X + 43/9 X^2 + X^3 ) * exp ( X ) for 1/3 <= X U1(X) = X * ( 1 - X ) * exp ( X ) Number of nodes = 11 I X U Uexact Error 0 0 0 0 0 1 0.1 0.0984187 0.0994654 0.00104668 2 0.2 0.193444 0.195424 0.00198062 3 0.3 0.280716 0.28347 0.00275386 4 0.4 0.354719 0.358038 0.00331859 5 0.5 0.408578 0.41218 0.00360183 6 0.6 0.433719 0.437309 0.00358904 7 0.7 0.419631 0.422888 0.00325746 8 0.8 0.35351 0.356087 0.00257627 9 0.9 0.219858 0.221364 0.00150638 10 1 0 0 0 FD1D_BVP_TEST Normal end of execution. 17 May 2009 09:09:27 AM