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SM ISO690:2012 SARBU, Gheorghe. Numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems. In: Mathematics and Information Technologies: Research and Education, Ed. 2023, 26-29 iunie 2023, Chişinău. Chişinău: 2023, p. 69. ISBN 978-9975-62-535-7. |
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Mathematics and Information Technologies: Research and Education 2023 | ||||||
Conferința "Mathematics and Information Technologies: Research and Education" 2023, Chişinău, Moldova, 26-29 iunie 2023 | ||||||
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Pag. 69-69 | ||||||
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This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations(see [1-2]). 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. |
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