A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems

Karátson, János; Kovács, Balázs

doi:10.1007/978-3-319-40157-7_4

Mathematical Problems in Meteorological Modelling

2016

DOI: 10.1007/978-3-319-40157-7_4

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A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems

János Karátson

Balázs Kovács

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2020

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Systematic formulation of a general numerical framework for solving the two-dimensional convection–diffusion–reaction system

Sugathan

Awasthi

2020

International Journal of Nonlinear Sciences and Numerical Simulation

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A general numerical framework is designed for the two-dimensional convection–diffusion–reaction (CDR) system. The compatibility of differential quadrature and finite difference methods (FDM) are utilized for the formulation. The idea is to switch one numerical scheme to another numerical scheme without changing the formulation. The only requirement is to input the weighting coefficients associated with the derivative discretizations to the general algorithm. Three numerical schemes comprising combinations of differential quadrature and FDMs are studied using the general algorithm. Properties of numerical schemes and the algorithm are analyzed by using the simulations of two-dimensional linear CDR system, Burgers’ equation, and Brusselator model.

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Systematic formulation of a general numerical framework for solving the two-dimensional convection–diffusion–reaction system

Sugathan

Awasthi

2020

International Journal of Nonlinear Sciences and Numerical Simulation

View full text Add to dashboard Cite

show abstract

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A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems

Cited by 1 publication

References 13 publications

Systematic formulation of a general numerical framework for solving the two-dimensional convection–diffusion–reaction system

Systematic formulation of a general numerical framework for solving the two-dimensional convection–diffusion–reaction system

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