2019
Том 71
№ 11

# The exponential twice continuously differentiable $B$-spline algorithm for Burgers’ equation

Abstract

The exponential twice continuously differentiable $B$-spline functions known from the literature as the exponential are used to set up the collocation method for finding solutions of the Burgers’ equation. The effect of the exponential cubic $B$-splines in the collocation method is sought by studying the text problems.

Citation Example: Adar N., Dag I., Ersoy O. The exponential twice continuously differentiable $B$-spline algorithm for Burgers’ equation // Ukr. Mat. Zh. - 2018. - 70, № 6. - pp. 788-800.