Research Article
Solving Polluted Lakes System by using Perturbation-Iteration Method
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 114 - Issue 4 |
| Published: March 2015 |
| Authors: M. Khalid, Mariam Sultana, Faheem Zaidi, Fareeha Sami Khan |
10.5120/19963-1800
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M. Khalid, Mariam Sultana, Faheem Zaidi, Fareeha Sami Khan . Solving Polluted Lakes System by using Perturbation-Iteration Method. International Journal of Computer Applications. 114, 4 (March 2015), 1-7. DOI=10.5120/19963-1800
@article{ 10.5120/19963-1800,
author = { M. Khalid,Mariam Sultana,Faheem Zaidi,Fareeha Sami Khan },
title = { Solving Polluted Lakes System by using Perturbation-Iteration Method },
journal = { International Journal of Computer Applications },
year = { 2015 },
volume = { 114 },
number = { 4 },
pages = { 1-7 },
doi = { 10.5120/19963-1800 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2015
%A M. Khalid
%A Mariam Sultana
%A Faheem Zaidi
%A Fareeha Sami Khan
%T Solving Polluted Lakes System by using Perturbation-Iteration Method%T
%J International Journal of Computer Applications
%V 114
%N 4
%P 1-7
%R 10.5120/19963-1800
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Water pollution is a major global problem that requires ongoing evaluation and revision of water resource policies at all levels, in order to create a healthy living environment. Differential equations are an effective way to analyze such situations. In this paper a system of linear equations with interconnecting pipes is considered for analyzing the pollution of system of lakes through differential equations. Perturbation-iteration method is used to compute an approximate solution of three input models i. e. periodic, linear step model and exponentially decaying model. The fourth order Runge- Kutta method (RK4) numerical solution of the lakes system problem is used as a reference to compare with the analytical approximations showing the high accuracy of the results.
References
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