<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems

Department of Oceanography, Coastal and Marine Engineering, National Institute for Marine Research and Development “Grigore Antipa”

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are...

On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems

Published Online: Nov 23, 2021

Page range: 183 - 200

Received: Dec 21, 2020

Accepted: Apr 12, 2021

DOI: https://doi.org/10.2478/auom-2021-0040

Keywords
Multi-component diffusion, Finite differences, Picard Method, Diffusion-reaction equation

© 2021 Gh. Juncu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems

Published Online: Nov 23, 2021

Page range: 183 - 200

Received: Dec 21, 2020

Accepted: Apr 12, 2021

DOI: https://doi.org/10.2478/auom-2021-0040

KeywordsMulti-component diffusion, Finite differences, Picard Method, Diffusion-reaction equation

© 2021 Gh. Juncu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Multi-component diffusion, Finite differences, Picard Method, Diffusion-reaction equation