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Table 2 Comparison of the results of the Chebyshev and Legendre wavelets method for Example 6.2

From: Chebyshev wavelets method for solving Bratu’s problem

x

Chebyshev wavelets

Legendre wavelets

Exact solutions

0.1

1.0016711 × 10−2

1.0016801 × 10−2

1.0016711 × 10−2

0.2

4.0269541 × 10−2

4.0269696 × 10−2

4.0269546 × 10−2

0.3

9.1383326 × 10−2

9.1382697 × 10−2

9.1383311 × 10−2

0.4

1.6445871 × 10−1

1.6444915 × 10−1

1.6445803 × 10−1

0.5

2.6116111 × 10−1

2.6111176 × 10−1

2.6116848 × 10−1

0.6

3.8339360 × 10−1

3.8367456 × 10−1

3.8393033 × 10−1

0.7

5.3617551 × 10−1

5.3524690 × 10−1

5.3617151 × 10−1

0.8

7.2271751 × 10−1

7.1991951 × 10−1

7.2278149 × 10−1

0.9

9.5086960 × 10−1

9.4297240 × 10−1

9.5088488 × 10−1