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Theory and Modern Applications

Table 3 Comparison of approximate norm-2 of absolute errors with reproducing kernel and CAS

From: Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method

Example

Euler

Reproducing kernel

CAS

k  = 2, M  = 3

k  = 3, M  = 3

k  = 2, M  = 1

k  = 3, M  = 1

k  = 2, M  = 1

k  = 3, M  = 1

Example 3

1.2666e-005

2.5664e-006

7.3137e-004

1.39304e-004

1.0019e-003

5.6933e-004

Example 4

3.9541e-005

2.3107e-006

5.4969e-004

5.75596e-006

3.5560e-003

9.0145e-004