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Theory and Modern Applications

Table 7 The numerical results for the fifth test problem at \(y=z=0.5, x,y,z \in [0,1]\)

From: A new structure to n-dimensional trigonometric cubic B-spline functions for solving n-dimensional partial differential equations

x

Numerical results

Exact results

Absolute error

Maximum absolute error of our method

Maximum absolute error [36]

0.2

−0.019821

−0.0198517

3.06956 E-5

4.96665 E-5

8.9227 E-4

0.4

−0.0320711

−0.0321207

4.96665 E-5

–

–

0.6

−0.0320711

−0.0321207

4.96665 E-5

–

–

0.8

−0.019821

−0.0198517

3.06956 E-5

–

–