On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives

On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives

Difference approximation for the Caputo fractional derivative of the 4−β, 1<β≤2, order is obtained in the work. The difference schemes for solving the Dirichlet problem for the Poisson equation with fractional derivatives are developed. The right part and initial data stability of difference pro...

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Main Author: V. D. Beybalaev
Format: Article
Language:English
Published: Samara State Technical University 2012-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu946
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spelling doaj-fbed0129a7c14df28f710263062473cb2020-11-25T02:10:07ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-06-012(27)18318710.14498/vsgtu946 On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives V. D. Beybalaev Difference approximation for the Caputo fractional derivative of the 4−β, 1<β≤2, order is obtained in the work. The difference schemes for solving the Dirichlet problem for the Poisson equation with fractional derivatives are developed. The right part and initial data stability of difference problem and its convergence are proved. http://mi.mathnet.ru/eng/vsgtu946
collection DOAJ
language English
format Article
sources DOAJ
author V. D. Beybalaev
spellingShingle V. D. Beybalaev
On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet V. D. Beybalaev
author_sort V. D. Beybalaev
title On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives
title_short On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives
title_full On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives
title_fullStr On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives
title_full_unstemmed On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives
title_sort on the numerical solution of the dirihlets problem for the poisson's equation with fractional order derivatives
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2012-06-01
description Difference approximation for the Caputo fractional derivative of the 4−β, 1<β≤2, order is obtained in the work. The difference schemes for solving the Dirichlet problem for the Poisson equation with fractional derivatives are developed. The right part and initial data stability of difference problem and its convergence are proved.
url http://mi.mathnet.ru/eng/vsgtu946
work_keys_str_mv AT vdbeybalaev onthenumericalsolutionofthedirihletsproblemforthepoissonsequationwithfractionalorderderivatives
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