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Theory and Modern Applications

Table 2 The numerical results of the DE Sinc Nyström method for Example 1

From: Sinc Nyström method for a class of nonlinear Volterra integral equations of the first kind

N

\(\mathbf{Error}_{\boldsymbol{v(x)}}\)

\(\mathbf{Error}_{\boldsymbol{u(x)}}\)

\(\boldsymbol{\rho_{N}}\)

Cond

4

8.238e − 002

1.887e − 002

5.500

8

5.987e − 003

1.305e − 003

3.854

5.438

16

1.871e − 005

3.476e − 006

8.553

5.437

32

9.852e − 010

2.360e − 010

13.846

5.437

64

3.553e − 015

8.882e − 016

18.020

5.437