On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods

Joint Authors

Gupta, A. K.
Ray, Santanu Saha

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-08

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

Two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method (OHAM), are presented.

Haar wavelet method is an efficient numerical method for the numerical solution of arbitrary order partial differential equations like Burgers-Fisher and generalized Fisher equations.

The approximate solutions thus obtained for the fractional Burgers-Fisher and generalized Fisher equations are compared with the optimal homotopy asymptotic method as well as with the exact solutions.

Comparison between the obtained solutions with the exact solutions exhibits that both the featured methods are effective and efficient in solving nonlinear problems.

The obtained results justify the applicability of the proposed methods for fractional order Burgers-Fisher and generalized Fisher’s equations.

American Psychological Association (APA)

Gupta, A. K.& Ray, Santanu Saha. 2014. On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-490202

Modern Language Association (MLA)

Gupta, A. K.& Ray, Santanu Saha. On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-490202

American Medical Association (AMA)

Gupta, A. K.& Ray, Santanu Saha. On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-490202

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-490202