Numerical Treatment of the Modified Time Fractional Fokker-Planck Equation

Author

Zhang, Yuxin

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-27

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

A numerical method for the modified time fractional Fokker-Planck equation is proposed.

Stability and convergence of the method are rigorously discussed by means of the Fourier method.

We prove that the difference scheme is unconditionally stable, and convergence order is O(τ+h4), where τ and h are the temporal and spatial step sizes, respectively.

Finally, numerical results are given to confirm the theoretical analysis.

American Psychological Association (APA)

Zhang, Yuxin. 2014. Numerical Treatment of the Modified Time Fractional Fokker-Planck Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013632

Modern Language Association (MLA)

Zhang, Yuxin. Numerical Treatment of the Modified Time Fractional Fokker-Planck Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1013632

American Medical Association (AMA)

Zhang, Yuxin. Numerical Treatment of the Modified Time Fractional Fokker-Planck Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013632

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013632