Extend Example 3 as follows.(a) Verify the values in Table 21.13 and show them graphically as in
Question:
Extend Example 3 as follows.(a) Verify the values in Table 21.13 and show them graphically as in Fig. 452.
Data from Table 21.13
Fig 452
(b) Compute and graph Euler values for h near the ?critical? h = 0.18 to determine more exactly when instability starts.
(c) Compute and graph RK values for values of h between 0.2 and 0.3 to find h for which the RK approximation begins to increase away from the exact solution.
(d) Compute and graph backward Euler values for large h; confirm stability and investigate the error increase for growing h.
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