VIM for Solving the Pollution Problem of a System of Lakes
Pollution has become a very serious threat to our environment. Monitoring pollution is the first step toward planning to save the environment. The use of differential equations of monitoring pollution has become possible. In this paper the pollution problem of three lakes with interconnecting channe...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2010/829152 |
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| _version_ | 1832568122409746432 |
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| author | J. Biazar M. Shahbala H. Ebrahimi |
| author_facet | J. Biazar M. Shahbala H. Ebrahimi |
| author_sort | J. Biazar |
| collection | DOAJ |
| description | Pollution has become a very serious threat to our environment. Monitoring pollution is the first step toward planning to save the environment. The use of differential equations of monitoring pollution has become possible. In this paper the pollution problem of three lakes with interconnecting channels has been studied. The variational iteration method has been applied to compute an approximate solution of the system of differential equations, governing on the problem. Three different types of input models: sinusoidal, impulse, and step will be considered for monitoring the pollution in the lakes. The results are compared with those obtained by Adomian decomposition method. This comparison reveals that the variational iteration method is easier to be implemented. |
| format | Article |
| id | doaj-art-0737dddfaaea4e1dbdfd71cf30856373 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-0737dddfaaea4e1dbdfd71cf308563732025-02-03T00:59:40ZengWileyJournal of Control Science and Engineering1687-52491687-52572010-01-01201010.1155/2010/829152829152VIM for Solving the Pollution Problem of a System of LakesJ. Biazar0M. Shahbala1H. Ebrahimi2Department of Mathematics, Faculty of Science, University of Guilan, P.O. Box 41635-19141, P.C. 4193833697, Rasht, IranDepartment of Mathematics, Faculty of Science, University of Guilan, P.O. Box 41635-19141, P.C. 4193833697, Rasht, IranDepartment of Mathematics, Islamic Azad University (branch: Rasht), P.O. Box 41335-3516, Rasht, IranPollution has become a very serious threat to our environment. Monitoring pollution is the first step toward planning to save the environment. The use of differential equations of monitoring pollution has become possible. In this paper the pollution problem of three lakes with interconnecting channels has been studied. The variational iteration method has been applied to compute an approximate solution of the system of differential equations, governing on the problem. Three different types of input models: sinusoidal, impulse, and step will be considered for monitoring the pollution in the lakes. The results are compared with those obtained by Adomian decomposition method. This comparison reveals that the variational iteration method is easier to be implemented.http://dx.doi.org/10.1155/2010/829152 |
| spellingShingle | J. Biazar M. Shahbala H. Ebrahimi VIM for Solving the Pollution Problem of a System of Lakes Journal of Control Science and Engineering |
| title | VIM for Solving the Pollution Problem of a System of Lakes |
| title_full | VIM for Solving the Pollution Problem of a System of Lakes |
| title_fullStr | VIM for Solving the Pollution Problem of a System of Lakes |
| title_full_unstemmed | VIM for Solving the Pollution Problem of a System of Lakes |
| title_short | VIM for Solving the Pollution Problem of a System of Lakes |
| title_sort | vim for solving the pollution problem of a system of lakes |
| url | http://dx.doi.org/10.1155/2010/829152 |
| work_keys_str_mv | AT jbiazar vimforsolvingthepollutionproblemofasystemoflakes AT mshahbala vimforsolvingthepollutionproblemofasystemoflakes AT hebrahimi vimforsolvingthepollutionproblemofasystemoflakes |