The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion
Modern mathematical forecast models are based on hydrodynamic equations, which are three-dimensional convection diffusion equations in the general form. In the article, the new approach to solving such equations, which consists in using the additive-averaged splitting on the basis of the explicit ac...
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| Datum: | 2015 |
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| Format: | Artikel |
| Sprache: | Ukrainisch |
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S. Subbotin Institute of Geophysics of the NAS of Ukraine
2015
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| Online Zugang: | https://journals.uran.ua/geofizicheskiy/article/view/111180 |
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| Назва журналу: | Geofizicheskiy Zhurnal |
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Geofizicheskiy Zhurnal| _version_ | 1856543160829739008 |
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| author | Katsalova, L. |
| author_facet | Katsalova, L. |
| author_sort | Katsalova, L. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-10-07T11:37:11Z |
| description | Modern mathematical forecast models are based on hydrodynamic equations, which are three-dimensional convection diffusion equations in the general form. In the article, the new approach to solving such equations, which consists in using the additive-averaged splitting on the basis of the explicit account method has been considered. The results of studies of stability and convergence of the method have been presented. Appropriate math grounds and evaluations have been given. Based on the results, conclusions regarding the effectiveness of the method for solving hydrodynamic equations are made. |
| first_indexed | 2025-07-17T11:05:38Z |
| format | Article |
| id | journalsuranua-geofizicheskiy-article-111180 |
| institution | Geofizicheskiy Zhurnal |
| language | Ukrainian |
| last_indexed | 2025-07-17T11:05:38Z |
| publishDate | 2015 |
| publisher | S. Subbotin Institute of Geophysics of the NAS of Ukraine |
| record_format | ojs |
| spelling | journalsuranua-geofizicheskiy-article-1111802020-10-07T11:37:11Z The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion Katsalova, L. convection diffusion equation additive-averaged splitting explicit account method stability convergence Modern mathematical forecast models are based on hydrodynamic equations, which are three-dimensional convection diffusion equations in the general form. In the article, the new approach to solving such equations, which consists in using the additive-averaged splitting on the basis of the explicit account method has been considered. The results of studies of stability and convergence of the method have been presented. Appropriate math grounds and evaluations have been given. Based on the results, conclusions regarding the effectiveness of the method for solving hydrodynamic equations are made. S. Subbotin Institute of Geophysics of the NAS of Ukraine 2015-12-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/111180 10.24028/gzh.0203-3100.v37i6.2015.111180 Geofizicheskiy Zhurnal; Vol. 37 No. 6 (2015); 131-136 Геофизический журнал; Том 37 № 6 (2015); 131-136 Геофізичний журнал; Том 37 № 6 (2015); 131-136 2524-1052 0203-3100 uk https://journals.uran.ua/geofizicheskiy/article/view/111180/106038 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0 |
| spellingShingle | convection diffusion equation additive-averaged splitting explicit account method stability convergence Katsalova, L. The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion |
| title | The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion |
| title_full | The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion |
| title_fullStr | The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion |
| title_full_unstemmed | The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion |
| title_short | The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion |
| title_sort | study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion |
| topic | convection diffusion equation additive-averaged splitting explicit account method stability convergence |
| topic_facet | convection diffusion equation additive-averaged splitting explicit account method stability convergence |
| url | https://journals.uran.ua/geofizicheskiy/article/view/111180 |
| work_keys_str_mv | AT katsaloval thestudyofconvergenceofadditiveaveragedsplittingbasedontheschemeofexplicitsolutionforthreedimensionalequationsofconvectivediffusion AT katsaloval studyofconvergenceofadditiveaveragedsplittingbasedontheschemeofexplicitsolutionforthreedimensionalequationsofconvectivediffusion |