Numerical solution of singularlyperturbed convection-diffusion equations
Date
2017-12-23
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Видавництво Львівської політехніки
Lviv Polytechnic Publishing House
Lviv Polytechnic Publishing House
Abstract
In this paper, a new method is given for solving
singularly perturbed convection-diffusion problems. The
present method is based on combining the asymptotic
expansion method and the variational iteration method (VIM)
with an auxiliary parameter. Numerical results show that the
present method can provide very accurate numerical solutions
not only in the boundary layer, but also away from the layer.
Description
Keywords
Convection-diffusion problems, boundary layer, variational iteration method, asymptotic expansion, auxiliary parameter
Citation
Sakar M. G. Numerical solution of singularlyperturbed convection-diffusion equations / Mehmet Giyas Sakar, Fevzi Erdogan // Litteris et Artibus : proceedings, 23–25 November, 2017. — Lviv : Lviv Polytechnic Publishing House, 2017. — P. 425–427. — (9th International academic conference «Computer science & engineering 2017» (CSE-2017)).