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In this paper, we present a new structure of the  n -dimensional trigonometric cubic B-spline collocation algorithm, which we show in three different formats: one-, two-, and three-dimensional. These constructs are critical for solving mathematical models in different fields. We illustrate the efficiency and accuracy of the proposed method by its application to a few two- and three-dimensional test problems. We use other numerical methods available in the literature to make comparisons.

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