Solving Polluted Lakes System by using Perturbation-Iteration Method
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10.5120/19963-1800 |
M Khalid, Mariam Sultana, Faheem Zaidi and Fareeha Sami Khan. Article: Solving Polluted Lakes System by using Perturbation-Iteration Method. International Journal of Computer Applications 114(4):1-7, March 2015. Full text available. BibTeX
@article{key:article,
author = {M. Khalid and Mariam Sultana and Faheem Zaidi and Fareeha Sami Khan},
title = {Article: Solving Polluted Lakes System by using Perturbation-Iteration Method},
journal = {International Journal of Computer Applications},
year = {2015},
volume = {114},
number = {4},
pages = {1-7},
month = {March},
note = {Full text available}
}
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.
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