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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Bibliographic Details
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