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Convergence Analysis of Spline Solution of Certain Two-Point Boundary Value Problems

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Table 1. Observed maximum absolute errors for Example 1. n Second-Order  = 1 4 ;  = 14 Fourth-Order =16;  =13 Sixth-Order =121;  = 125 8 1:09  10 4 5:22  10 8 8:75  10 11 16 3:06  10 5 2:31  10 9 5:74  10 13 32 8:11  10 6 1:34  10 10 2:30  1
Table 2. Observed maximum absolute errors for Example 2. n Second-Order  = 1 4 ,  = 14 Fourth-Order =16,  =13 Fourth-Order [13] 8 2:42  10 3 2:64  10 6 1:10  10 6 16 6:80  10 4 1:26  10 7 1:09  10 7 32 1:80  10 4 7:41  10 9 7:51  10 9 64 4:65
Table 3. Observed maximum absolute errors for Example 3. n Second-Order  = 1 4 ,  = 14 Second-Order [14] Fourth-Order =16,  =13 Fourth-Order [14] 8 3:30  10 5 4:17  10 5 9:21  10 8 1:74  10 7 16 9:25  10 6 1:04  10 5 4:11  10 9 1:10  10 8 32 2:

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