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Table 1 The observed maximum absolute error for different values of m for Example 1

From: The application of block pulse functions for solving higher-order differential equations with multi-point boundary conditions

\(\boldsymbol {y^{(j)}}\) m  = 6 m  = 10 m  = 16 m  = 32
y 1.8 × 10−4 7.1 × 10−5 2.8 × 10−5 7.1 × 10−6
\(y^{(1)}\) 5.7 × 10−4 2.2 × 10−4 8.7 × 10−5 2.3 × 10−5
\(y^{(2)}\) 1.8 × 10−3 6.8 × 10−4 2.7 × 10−4 6.8 × 10−5
\(y^{(3)}\) 5.8 × 10−3 2.3 × 10−3 9.3 × 10−4 2.4 × 10−4
\(y^{(4)}\) 2.6 × 10−2 8.8 × 10−3 3.3 × 10−3 7.5 × 10−4
\(y^{(5)}\) 3.5 × 10−1 1.2 × 10−1 4.9 × 10−2 1.2 × 10−2
\(y^{(6)}\) 7.2 4.3 2.7 1.3