On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition
Joint Authors
Cakir, Zafer
Ashyralyev, Allaberen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ashyralyev, Allaberen& Cakir, Zafer. 2012. On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-491334
Modern Language Association (MLA)
Ashyralyev, Allaberen& Cakir, Zafer. On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-491334
American Medical Association (AMA)
Ashyralyev, Allaberen& Cakir, Zafer. On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-491334
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491334