A semi-linear delayed diffusion-wave system with distributed order in time
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
A semi-linear delayed diffusion-wave system with distributed order in time
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| Автор |
Hendy, A. S.
De, Staelen, R. H. Pimenov, V. G. |
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| Тематика |
CONVERGENCE
DELAYED PARTIAL DIFFERENTIAL EQUATIONS DISCRETE ENERGY METHOD DISTRIBUTED ORDER FRACTIONAL DIFFUSION-WAVE EQUATIONS LINEAR DIFFERENCE SCHEME STABILITY |
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| Описание |
A numerical scheme for a class of non-linear distributed order fractional diffusion-wave equations with fixed time-delay is considered. The focus lies on the derivation of a linearized compact difference scheme as well as on quantitatively analyzing it. We prove unique solvability, convergence, and stability of the resulted numerical solution in L∞-norm by means of the discrete energy method. Numerical examples are introduced to illustrate the accuracy and efficiency of the proposed method. © 2017, Springer Science+Business Media New York.
FWO15/PDO/076 This work is partially done during the scientific stay of the first author at the Department of Mathematical Analysis, Ghent University. For the first and third author, this work was supported by Act 211 Government of the Russian Federation program 02.A03.21.0006 on 27.08.2013. The second author acknowledges the support of the Research Foundation - Flanders (FWO15/PDO/076). |
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| Дата |
2024-04-17T17:43:41Z
2024-04-17T17:43:41Z 2018 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Hendy, A. S., De Staelen, R. H., & Pimenov, V. G. (2018). A semi-linear delayed diffusion-wave system with distributed order in time. Numerical Algorithms, 77(3), 885-903. https://doi.org/10.1007/s11075-017-0344-7
1017-1398 Final All Open Access, Green https://biblio.ugent.be/publication/8520283/file/8551790 http://elar.urfu.ru/handle/10995/132217 10.1007/s11075-017-0344-7 85019245743 000425616500012 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Springer New York LLC
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| Источник |
Numerical Algorithms
Numerical Algorithms |
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