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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 U at the middle of the duct

\(M_{x}\)	Alexander [7]	Jones and Xenophontos [8]	Bi-CBSG approach [9]	Finite difference approach [15]	2-dimensional trigonometric cubic B-spline approach	Analytic [13]	Maximum absolute error
0	0.2982	0.2982	0.29468	0.29410	0.29415	0.29468	5.33 E-4
2	0.2632	0.2631	0.25890	0.25862	0.25865	0.25890	2.52 E-4
5	0.1743	0.1742	0.17160	0.17147	0.17157	0.17160	3.07 E-5
8	0.1201	0.1201	0.11878	0.11865	0.11877	0.11878	1.01 E-5