Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Splitting Algorithm for Numerical Solving of Parabolic Nonlinear Multi - Component Convection – Diffusion Mass Transfer Equations

Version 1 : Received: 23 March 2023 / Approved: 24 March 2023 / Online: 24 March 2023 (03:28:04 CET)

How to cite: Juncu, G.; Popa, C.; Sarbu, G. Splitting Algorithm for Numerical Solving of Parabolic Nonlinear Multi - Component Convection – Diffusion Mass Transfer Equations. Preprints 2023, 2023030424. https://doi.org/10.20944/preprints202303.0424.v1 Juncu, G.; Popa, C.; Sarbu, G. Splitting Algorithm for Numerical Solving of Parabolic Nonlinear Multi - Component Convection – Diffusion Mass Transfer Equations. Preprints 2023, 2023030424. https://doi.org/10.20944/preprints202303.0424.v1

Abstract

The splitting method developed in a previous study for linear, multi – component, convection-diffusion mass transfer equations is extended to non-linear, multi-component, convection-diffusion mass transfer equations. The diffusion term is non-linear (the diffusion coefficients depend on chemical species concentrations). Theoretical results about the splitting error are presented, as well as numerical simulations for mixtures with n ≤ 5. The numerical experiments show second-order accuracy and stability for the present splitting algorithm.

Keywords

multi-component diffusion; splitting; splitting error; non-linear convection – diffusion equations; finite differences

Subject

Computer Science and Mathematics, Mathematics

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