01 again the selection of these parameters is rather

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Unformatted text preview: 0.799 0.737 0.010 10 0.0 0.200 0.397 0.582 0.728 0.787 0.728 Table 2.3.1: Solution of Example 2.3.1 using the forward time-centered space scheme (2.3.3a) with = 0 1. = 0 0.1 0.2 0.3 0.4 0.5 0.6 =0 1 2 3 4 5 6 0.0 0 0.0 0.2 0.4 0.6 0.8 1.0 0.8 0.01 1 0.0 0.2 0.4 0.6 0.8 0.6 0.8 0.02 2 0.0 0.2 0.4 0.6 0.4 1.0 0.4 0.03 3 0.0 0.2 0.4 0.2 1.2 -0.2 1.2 0.04 4 0.0 0.2 0.0 1.4 -1.2 2.6 -1.2 Table 2.3.2: Solution of Example 2.3.1 using the forward time-centered space scheme (2.3.3a) with = 1. = 0 3( = 3) = 0 5( = 5) t n x j r : t n x j r t n x : j x j 3 ; 3j n u U n : j j 5 ; 5nj n u U 0.005 5 0.0008 0.023 0.01 10 0.004 0.016 0.1 100 0.011 0.012 Table 2.3.3: Errors at = 0 3 ( = 3) and = 0 5 ( = 5) for the solution of Example 2.3.1 using the forward time-centered space scheme (2.3.3a) with = 0 1. x : j x : j r : shown in Tables 2.3.1 and 2.3.2 for a few time steps. Errors of the solution with = 0 1 at = 0 3 and 0.5 are presented in Table 2.3.3 for a few times. The solutions are also shown in Fig...
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