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