Speaker
Mehrdad LAKESTANI
(Department of Applied Mathematics, University of Tabriz, Tabriz, Iran)
Description
This study addresses a second-order singularly perturbed problem using cubic B-spline functions. We first examine the properties of these functions and then introduce their dual basis for function expansion. Next, we construct an operational matrix of derivatives for the cubic B-splines. A hybrid scheme is developed to solve the problem efficiently. The numerical results demonstrate the effectiveness of the proposed method.
| Keywords | Cubic B-Spline Functions, Singular Perturbation Problem, Numerical Methods |
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Author
Fevzi Erdoğan
(Department of Mathematics, Van Yuzuncu Yil University, Van, Turkey)
Co-author
Mehrdad LAKESTANI
(Department of Applied Mathematics, University of Tabriz, Tabriz, Iran)
