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Theory and Modern Applications

Table 6 Comparison of approximate and exact solution and absolute error of Example 5.6 when \(J=4\)

From: Numerical solutions of higher order boundary value problems via wavelet approach

w

Approximate solution

Exact solution

Error

[33]

0.0

1.000000000000000

1.000000000000000

0.00000e-00

4.17444e-14

0.1

1.105170918075633

1.105170918075648

1.50990e-14

2.64144e-12

0.2

1.221402758158984

1.221402758160170

1.18616e-12

2.99314e-11

0.3

1.349858807564140

1.349858807576003

1.18636e-11

1.67101e-10

0.4

1.491824697591858

1.491824697641270

4.94124e-11

6.30955e-10

0.5

1.648721270576312

1.648721270700128

1.23816e-10

1.84757e-09