D03PFF Example Program Results Example 1 Number of mesh points used = 101 Relative tolerance used = 0.100E-03 Absolute tolerance used = 0.100E-04 t x Approx u Exact u Approx v Exact v 0.100 0.0000 1.0615 1.0613 -0.0155 -0.0150 0.2000 0.9892 0.9891 -0.0953 -0.0957 0.4000 1.0826 1.0826 0.1180 0.1178 0.6000 1.7001 1.7001 -0.0751 -0.0746 0.8000 2.3959 2.3966 -0.2453 -0.2458 1.0000 2.1029 2.1025 0.3760 0.3753 0.200 0.0000 1.0957 1.0956 0.0368 0.0370 0.2000 1.0808 1.0811 0.1826 0.1828 0.4000 1.1102 1.1100 -0.2935 -0.2938 0.6000 1.6461 1.6454 -1.2921 -1.2908 0.8000 1.7913 1.7920 -0.8510 -0.8525 1.0000 2.2050 2.2050 -0.4222 -0.4221 Number of time steps (nearest 5) = 55 Number of function evaluations (nearest 50) = 250 Number of Jacobian evaluations (neaerst 10) = 10 Number of iterations (nearest 50) = 150 Example 2 Number of mesh points used = 151 Relative tolerance used = 0.100E-04 Absolute tolerance used = 0.100E-04 x -1.0000 -0.9600 -0.5200 0.0000 0.4800 0.9600 1.0000 u(t= 1.000) 3.0000 3.6221 3.8087 4.0000 4.1766 4.3779 5.0000 u(t=10.000) 3.0000 3.9592 4.0000 4.0000 4.0000 4.0408 5.0000 Number of time steps (nearest 5) = 505 Number of function evaluations (nearest 50) = 1200 Number of Jacobian evaluations (neaerst 10) = 30 Number of iterations (nearest 50) = 1050