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المؤلفRaed Ali, Mara'Beh
المؤلفSpiteri, Raymond J.
المؤلفGonzález, P.
المؤلفMantas, José M.
تاريخ الإتاحة2022-09-27T05:44:47Z
تاريخ النشر2023-01-31
اسم المنشورApplied Numerical Mathematics
المعرّفhttp://dx.doi.org/10.1016/j.apnum.2022.08.015
الاقتباسMara'Beh, R. A., Spiteri, R. J., González, P., & Mantas, J. M. (2022). 3-additive linear multi-step methods for diffusion-reaction-advection models. Applied Numerical Mathematics.
الرقم المعياري الدولي للكتاب01689274
معرّف المصادر الموحدhttps://www.sciencedirect.com/science/article/pii/S0168927422002203
معرّف المصادر الموحدhttp://hdl.handle.net/10576/34521
الملخصSome systems of differential equations that model problems in science and engineering have natural splittings of the right-hand side into the sum of three parts, in particular, diffusion, reaction, and advection. Implicit-explicit (IMEX) methods treat these three terms with only two numerical methods, and this may not be desirable. Accordingly, this work gives a detailed study of 3-additive linear multi-step methods for the solution of diffusion-reaction-advection systems. Specifically, we construct new 3-additive linear multi-step methods that treat diffusion, reaction, and advection with separate methods. The stability of the new methods is investigated, and the order of convergence is tested numerically. A comparison of the new methods is made with some popular IMEX methods in terms of stability and performance. It is found that the new 3-additive methods have larger stability regions than the IMEX methods tested in some cases and generally outperform in terms of computational efficiency.
راعي المشروعRaed Ali Mara'Beh, and the rest of the authors of the UGR, acknowledges the support of grant PID2020-117846GB-I00 from the Spanish government and the María de Maeztu Excellence Unit IMAG, reference CEX2020-001105-M, funded by MCIN/AEI/10.13039/501100011033/, also P. González and Raed MaraBeh acknowledges the support of the Andalusian-Spanish Research Group FQM191. Raymond J. Spiteri acknowledges support from the National Sciences and Engineering Research Council of Canada (NSERC) under Discovery Grant RGPN-2020-04467.
اللغةen
الناشرElsevier
الموضوعAdditive splitting methods
Linear multi-step methods
Diffusion-reaction-advection problems
IMEX
Order conditions
Linear stability analysis
العنوان3-additive linear multi-step methods for diffusion-reaction-advection models
النوعArticle
الصفحات15-38
رقم المجلد183
dc.accessType Open Access


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