On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems-Reference-Cited by-同舟云学术

On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems

Published:2021-11-01 Issue:3 Volume:29 Page:183-200
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Juncu Gh.¹,Popa C.²,Sarbu Gh.³

Affiliation:

1. Catedra Inginerie Chimica , Politehnica University Bucharest , Polizu 1, Bucharest 011061 , Romania .

2. Department of Mathematics , Ovidius University of Constanta , Bdul Mamaia 124, 900527 Constanta , Romania .

3. Department of Oceanography, Coastal and Marine Engineering, National Institute for Marine Research and Development “Grigore Antipa” , 300 Mamaia Blvd., 900581 Constanta , Romania

Abstract

Abstract This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference method was used to discretize the mathematical model equations. The algorithm used to solve the non-linear system resulted for each time step is the modified Picard iteration. The numerical performances of the preconditioned conjugate gradient algorithms (BICGSTAB and GMRES) in solving the linear systems of the modified Picard iteration were analysed in detail. The numerical results obtained show good numerical performances.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2021-0040

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