Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation

M. N. Qureshi; A. Q. Khan; M. Ayub; Q. Din

doi:10.1155/2013/146976

Discrete Dynamics in Nature and Society (Jan 2013)

Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation

M. N. Qureshi,
A. Q. Khan,
M. Ayub,
Q. Din

Affiliations

M. N. Qureshi: Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan
A. Q. Khan: Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan
M. Ayub: Department of Mathematics, COMSATS Institute, Abbottabad 22010, Pakistan
Q. Din: Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan

DOI: https://doi.org/10.1155/2013/146976
Journal volume & issue: Vol. 2013

Abstract

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One-dimensional optimal systems for nonhomogeneous discrete heat equation with different source terms are calculated. By utilizing these optimal systems invariant solutions are found. Also generating solutions are calculated, using the elements of the symmetry algebra.

Published in Discrete Dynamics in Nature and Society

ISSN: 1026-0226 (Print); 1607-887X (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/3059

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