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Table 1 The errors \(\Vert u-u_N\Vert _{L_\omega ^2(\Omega )}\) and \(\Vert u-u_N\Vert _{L^\infty (\Omega )}\)

From: Jacobi spectral collocation method for the approximate solution of multidimensional nonlinear Volterra integral equation

N

2

4

6

\(L^\infty\)-error

9.3273e−003

3.3409e−005

5.1698e−008

\(L_\omega ^2\)-error

1.8151e−003

1.4154e−006

1.0899e−009

N

8

10

12

\(L^\infty\)-error

4.5534e−011

6.5281e−014

6.7390e−014

\(L_\omega ^2\)-error

6.0859e−013

1.3022e−013

1.3124e−013