Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation

Author

Wang, Yuan-Ming

Source

Advances in Mathematical Physics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-07-31

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Physics

Abstract EN

This paper is concerned with two alternating direction implicit (ADI) finite difference methods for solving a two-dimensional fractional subdiffusion equation.

An explicit error estimate for each of the two methods is provided in the discrete maximum norm.

It is shown that the methods have the same order as their truncation errors with respect to the discrete maximum norm.

Numerical results are given to confirm the theoretical analysis results.

American Psychological Association (APA)

Wang, Yuan-Ming. 2013. Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-461064

Modern Language Association (MLA)

Wang, Yuan-Ming. Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation. Advances in Mathematical Physics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-461064

American Medical Association (AMA)

Wang, Yuan-Ming. Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-461064

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-461064