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Solving Polluted Lakes System by using Perturbation-Iteration Method
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 114 - Number 4 |
| Year of Publication: 2015 |
| Authors: M. Khalid, Mariam Sultana, Faheem Zaidi, Fareeha Sami Khan |
10.5120/19963-1800
|
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
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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