Репозиторий научных и учебно-методических публикаций
Северо-Кавказский федеральный университет
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https://dspace.ncfu.ru/handle/20.500.12258/19640| Title: | A high-order difference scheme for the diffusion equation of multi-term and distributed orders |
| Authors: | Alikhanov, A. A. Алиханов, А. А. Apekov, A. M. Апеков, А. М. |
| Keywords: | Convergence;Finite difference method;Stability;Time-fractional diffusion equation |
| Issue Date: | 2022 |
| Publisher: | Springer Science and Business Media Deutschland GmbH |
| Citation: | Alikhanov, A., Apekov, A., Huang, C. A high-order difference scheme for the diffusion equation of multi-term and distributed orders // Lecture Notes in Networks and Systems. - 2022. - Том 424. - Стр.: 515 - 523. - DOI10.1007/978-3-030-97020-8_47 |
| Series/Report no.: | Lecture Notes in Networks and Systems |
| Abstract: | A difference schemes of a higher order of approximation for the time-fractional diffusion equation of multi-term and distributed orders are constructed on the basis of the L2 type formula. The stability and convergence of the proposed difference schemes is proved by the method of energy inequalities. |
| URI: | http://hdl.handle.net/20.500.12258/19640 |
| Appears in Collections: | Статьи, проиндексированные в SCOPUS, WOS |
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| scopusresults 2208 .pdf Restricted Access | 63.47 kB | Adobe PDF | View/Open |
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