Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5418
Title: A finite difference scheme for multidimensional convection-diffusion-reaction equations
Authors: Kaya, Adem
Keywords: Advection-diffusion-reaction
Finite difference method
Finite element method
Issue Date: Aug-2014
Publisher: Elsevier Ltd.
Source: Kaya, A. (2014). A finite difference scheme for multidimensional convection-diffusion-reaction equations. Computer Methods in Applied Mechanics and Engineering, 278, 347-360. doi:10.1016/j.cma.2014.06.002
Abstract: In this paper a finite difference scheme is proposed for multidimensional convection-diffusion-reaction equations, particularly designed to treat the most interesting case of small diffusion. It is based closely on the work S¸endur and Neslitu¨rk (2011). Application of the method to multidimensional convection-diffusion-reaction equation is based on a simple splitting of the convection-diffusion-reaction equation and then joining their approximations obtained with S¸endur and Neslitu¨rk (2011). The method adapts very well to all regimes with continuous transitions from one regime to another. Numerical tests show good performance of the method and superiority with respect to well known stabilized finite element methods.
URI: https://doi.org/10.1016/j.cma.2014.06.002
http://hdl.handle.net/11147/5418
ISSN: 0045-7825
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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