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Table 2 The errors \(\Vert v-v_N\Vert _{L_\omega ^2(\Omega )}\) and \(\Vert v-v_N\Vert _{L^\infty (\Omega )}\)

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

N

2

4

6

\(L^\infty\)-error

1.0746e−001

1.2307e−003

7.3430e−006

\(L_\omega ^2\)-error

4.7972e−002

3.5805e−004

1.3925e−006

N

8

10

12

\(L^\infty\)-error

2.5031e−008

5.6992e−011

1.2992e−013

\(L_\omega ^2\)-error

3.6864e−009

6.7815e−012

7.9865e−014