Research Article Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method
The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopy analysis method HAM. The continuous solution for the nonlinear system is given, which provides a convenient and straightforward approach to calculate the dynamics of the system. The HAM continuous solution g...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.483.7593 2023-05-15T18:11:54+02:00 Research Article Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method A. Sami Bataineh M. S. M. Noorani I. Hashim The Pennsylvania State University CiteSeerX Archives 2008 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.7593 http://www.mat.ub.edu/EMIS/journals/HOA/DENM/Volume2008/816787.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.7593 http://www.mat.ub.edu/EMIS/journals/HOA/DENM/Volume2008/816787.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.mat.ub.edu/EMIS/journals/HOA/DENM/Volume2008/816787.pdf text 2008 ftciteseerx 2016-01-08T08:03:42Z The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopy analysis method HAM. The continuous solution for the nonlinear system is given, which provides a convenient and straightforward approach to calculate the dynamics of the system. The HAM continuous solution generated by polynomial base functions is of comparable accuracy to the purely numerical fourth-order Runge-Kutta method. The convergence theorem for the three-dimensional case is also given. Copyright q 2008 A. Sami Bataineh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1. Text sami Unknown |
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English |
description |
The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopy analysis method HAM. The continuous solution for the nonlinear system is given, which provides a convenient and straightforward approach to calculate the dynamics of the system. The HAM continuous solution generated by polynomial base functions is of comparable accuracy to the purely numerical fourth-order Runge-Kutta method. The convergence theorem for the three-dimensional case is also given. Copyright q 2008 A. Sami Bataineh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1. |
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The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
A. Sami Bataineh M. S. M. Noorani I. Hashim |
spellingShingle |
A. Sami Bataineh M. S. M. Noorani I. Hashim Research Article Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method |
author_facet |
A. Sami Bataineh M. S. M. Noorani I. Hashim |
author_sort |
A. Sami Bataineh |
title |
Research Article Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method |
title_short |
Research Article Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method |
title_full |
Research Article Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method |
title_fullStr |
Research Article Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method |
title_full_unstemmed |
Research Article Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method |
title_sort |
research article series solution of the multispecies lotka-volterra equations by means of the homotopy analysis method |
publishDate |
2008 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.7593 http://www.mat.ub.edu/EMIS/journals/HOA/DENM/Volume2008/816787.pdf |
genre |
sami |
genre_facet |
sami |
op_source |
http://www.mat.ub.edu/EMIS/journals/HOA/DENM/Volume2008/816787.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.7593 http://www.mat.ub.edu/EMIS/journals/HOA/DENM/Volume2008/816787.pdf |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
_version_ |
1766184499497926656 |