Minimum Wave Speed Solution of Fisher's Equation by the Method of Least Squares - A Note

  • K. N. Mehta Indian Institute of Technology Delhi, New Delhi
DOI: https://doi.org/10.14429/dsj.39.4762
Keywords: Neutron density, Reaction diffusion processes, One dimensional habitat

Abstract

The paper presents a simple solution of travelling-wave type (corresponding to the minimum speed c=2) of Fisher's equation. which can be readily adapted for modelling neutron density in nuclear reactors, reaction-diffusion processes'in propulsion systems and growth of new advantageous gene in one-dimensional habitat

Author Biography

K. N. Mehta, Indian Institute of Technology Delhi, New Delhi
Department of Mathematics, Indian Institute of Technology, New Delhi

References

Canosa, J., IBM J. Res. Develop., 17 (1973), 307-313.

Fisher, R.A., Ann. Eugen., 7 (1936), 355-369.

Gazdag, J. & Canosa, J., J. Appl. Prob., 11 (1974), 445-457.

Ablowitz, M.J. & Zeppetella, A., Bull. Math. Biology, 41 (1979), 835-840.

Abdelkader, M.A., J. Math. Anal. Appl., 85 (1982), 287-290.

Canosa, J., J. Math. Phys., 10 (1969), 1862-1868.

Fife, P.C., Bull. Amer. Math. Soc., 84 (1978), 693-726.

Jeffrey, A. & Kakutani, T., SIAM Rev., 14 (19721, 582-643.

Kolmogoroff, A., Petrovsky, I. & Piscounoff, N., Elude de 1' equation

de la diffusion avec croissance de la quantite de matiere et son application a un

problerne biologique, Bull-de I'univ. d9Etote a Moseou @er. Intern), A1 (1937),

-25

Published
2013-04-01
How to Cite
Mehta, K. (2013). Minimum Wave Speed Solution of Fisher’s Equation by the Method of Least Squares - A Note. Defence Science Journal, 39(2), 179-181. https://doi.org/10.14429/dsj.39.4762
Issue
Vol 39 No 2
Section
General Papers
Copyright (c) 2016 Defence Science Journal

 Where otherwise noted, the Articles on this site are licensed under Creative Commons License: CC Attribution-Noncommercial-No Derivative Works 2.5 India