Speaker
Sedaghat Shahmorad
(Department of Applied Mathematics, University of Tabriz, Tabriz, Iran)
Description
Presented in this paper is a numerical method based on interpolation and collocation for solving singularly perturbed boundary value problems whose solutions exhibit boundary layers. First, the general properties of such singularly perturbed boundary value problems are discussed. Next, a Lagrange interpolation scheme using Chebyshev nodes, combined with collocation at same points, which yields a uniformly convergent approach for solving this class of equations were constructed. Numerical examples demonstrate the theoretical results in practice.
| Keywords | Numerical Solution, Interpolation, Collocation |
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Author
Fevzi Erdoğan
(Department of Mathematics, Van Yuzuncu Yil University, Van, Turkey)
Co-author
Sedaghat Shahmorad
(Department of Applied Mathematics, University of Tabriz, Tabriz, Iran)
