On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems

Autor: Juncu Gh., Popa C., Sarbu Gh.
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 29, Iss 3, Pp 183-200 (2021)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2021-0040
Popis: 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.
Databáze: Directory of Open Access Journals