Novel numerical analysis for nonlinear advection-reaction-diffusion systems
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Date
2020
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Abstract
In this article, a numerical model for a Brusselator advection-reaction-diffusion (BARD) system by using an elegant numerical scheme is developed. The consistency and stability of the proposed scheme is demonstrated. Positivity preserving property of the proposed scheme is also verified. The designed scheme is compared with the two well-known existing classical schemes to validate the certain physical properties of the continuous system. A test problem is also furnished for simulations to support our claim. Prior to computations, the existence and uniqueness of solutions for more generic problems is investigated. In the underlying system, the nonlinearities depend not only on the desired solution but also on the advection term that reflects the pivotal importance of the study.
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Keywords
Advection, Diffusion, Reaction, Consistency, Stability, Structure Preserving, Equi-Continuity
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Citation
Shahid, Naveed...et al. (2020). "Novel numerical analysis for nonlinear advection-reaction-diffusion systems", Open Physics, Vol. 18, No. 1, pp. 112-125.
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Source
Open Physics
Volume
18
Issue
1
Start Page
112
End Page
125