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Theory and Modern Applications

Table 3 The duct’s U is in the middle. Simulations using finite difference and analytic methods were contrasted

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

\(M_{x}\)

Finite difference method using a mesh of 50 × 50 [15]

2-dimensional trigonometric cubic B-spline method 50 × 50

Analytic [13]

Maximum absolute error

0

0.073648

0.0736339

0.073671

3.710 E-5

2

0.071109

0.0710962

0.071128

3.182 E-5

5

0.060838

0.0608306

0.060846

1.541 E-5

8

0.049359

0.0493580

0.049363

5.012 E-6