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

Article scientifique 2021 Anglais

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Abstract 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.

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Raslan, K., Ali, K., Mohamed, M., Hadhoud, A. (2021). A new structure to n-dimensional trigonometric cubic B-spline functions for solving n-dimensional partial differential equations. https://doi.org/10.1186/s13662-021-03596-2

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