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

Mathematics

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