Original scientific paper
A hybrid approximation scheme for 1-D singularly perturbed parabolic convection-diffusion problems
Mohammad Izadi
; Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Suayip Yuzbasi
; Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey
Abstract
Our study is concerned with a hybrid spectral collocation approach to solving singularly perturbed 1-D parabolic convection-diffusion problems. In this approach, discretization in time is carried out with the help of Taylor series expansions before the spectral based on novel special polynomials is applied to the spatial operator in the time step. A detailed error analysis of the presented technique is conducted with regard to the space variable. The advantages of this attempt are presented through comparison of our results in the model problems obtained by this technique and other existing schemes.
Keywords
convection-diffusion problem, collocation points, special polynomials, Taylor expansion
Hrčak ID:
275689
URI
Publication date:
28.4.2022.
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