On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition | Zendy

Allaberen Ashyralyev | Zendy; Zafer Çakir | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition

Author(s) -

Allaberen Ashyralyev,

Zafer Çakir

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/696179

Subject(s) - mathematics , parabolic partial differential equation , mathematical analysis , stability (learning theory) , partial differential equation , elliptic partial differential equation , dirichlet distribution , order (exchange) , gauss , physics , boundary value problem , finance , quantum mechanics , machine learning , computer science , economics

The first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented. Stability and almost coercive stability estimates for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of one-dimensional fractional parabolic partial differential equations.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research