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Table 7 Exact and MLS solutions at the given knots, CPU time = 0.5 s

From: Enhanced moving least square method for the solution of volterra integro-differential equation: an interpolating polynomial

x

Approximate u(x)

Exact U(x)

MLS error

MLS error (enchanced)

0

− 2.000000000000000

− 2.00000000000000

0

0

0.066666666666667

− 1.995555555555558

− 1.995555555555556

0.000000107013828

0.000000000000002

0.133333333333333

− 1.982222222222227

− 1.982222222222222

0.000000487796545

0.000000000000004

0.200000000000000

− 1.960000000000002

− 1.960000000000000

0.000000812959607

0.000000000000002

0.800000000000000

− 1.360000000000001

− 1.360000000000000

0.000048779654539

0.000000000000001

0.866666666666667

− 1.248888888888889

− 1.248888888888889

0.000004877964554

0.000000000000001

0.933333333333333

− 1.128888888888893

− 1.128888888888889

0.000001070138276

0.000000000000004

1.000000000000000

− 1.000000000000000

− 1.000000000000000

0

0