Article detail · 2018
Finite element based hybrid techniques for advection-diffusion-reaction processes
Journal
An International Journal of Optimization and Control: Theories Applications (IJOCTA)ISSN 2146-5703
- Year
- 2018
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue An International Journal of Optimization and Control: Theories Applications (IJOCTA)
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
In this paper, numerical solutions of the advection-diffusion-reaction (ADR) equation are investigated using the Galerkin, collocation and Taylor-Galerkin cubic B-spline finite element method in strong form of spatial elements using an ?-family optimization approach for time variation. The main objective of this article is to capture effective results of the finite element techniques with B-spline basis functions under the consideration of the ADR processes. All produced results are compared with the exact solution and the literature for various versions of problems including pure advection, pure diffusion, advection-diffusion, and advection-diffusion-reaction equations. It is proved that the present methods have good agreement with the exact solution and the literature.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
5 citations
OpenAlex cited_by_count (cache / database)
6 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- An implicit-explicit local method for parabolic partial differential equations 2022
- An implicit-explicit local method for parabolic partial differential equations 2022
- A novel method to investigate nonlinear advection-diffusion processes 2023
- A novel method to investigate nonlinear advection–diffusion processes 2023
- Initial data identification in advection–diffusion processes via a reversed fixed‐point iteration method 2025
- Initial data identification in advection–diffusion processes via a reversed fixed‐point iteration method 2022