A new structure to n-dimensional trigonometric cubic B-spline functions for solving n-dimensional partial differential equations
Keyword(s):
AbstractIn 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.
2018 ◽
Vol 28
(11)
◽
pp. 2620-2649
◽
2015 ◽
Vol 32
(5)
◽
pp. 1275-1306
◽
2016 ◽
Vol 299
◽
pp. 1
◽
2001 ◽
Vol 128
(1-2)
◽
pp. 55-82
◽