Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation

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.

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Main Authors: M. N. Qureshi, A. Q. Khan, M. Ayub, Q. Din
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/146976
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author M. N. Qureshi
A. Q. Khan
M. Ayub
Q. Din
author_facet M. N. Qureshi
A. Q. Khan
M. Ayub
Q. Din
author_sort M. N. Qureshi
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-c95289ed3e57479487d7cd074cc514472025-02-03T06:08:48ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/146976146976Invariant Solutions for Nonhomogeneous Discrete Diffusion EquationM. N. Qureshi0A. Q. Khan1M. Ayub2Q. Din3Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, PakistanDepartment of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, PakistanDepartment of Mathematics, COMSATS Institute, Abbottabad 22010, PakistanDepartment of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, PakistanOne-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.http://dx.doi.org/10.1155/2013/146976
spellingShingle M. N. Qureshi
A. Q. Khan
M. Ayub
Q. Din
Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation
Discrete Dynamics in Nature and Society
title Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation
title_full Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation
title_fullStr Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation
title_full_unstemmed Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation
title_short Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation
title_sort invariant solutions for nonhomogeneous discrete diffusion equation
url http://dx.doi.org/10.1155/2013/146976
work_keys_str_mv AT mnqureshi invariantsolutionsfornonhomogeneousdiscretediffusionequation
AT aqkhan invariantsolutionsfornonhomogeneousdiscretediffusionequation
AT mayub invariantsolutionsfornonhomogeneousdiscretediffusionequation
AT qdin invariantsolutionsfornonhomogeneousdiscretediffusionequation