These comparisons show that LADM is a powerful method for obtaining approximate solutions to the problem of modeling the pollution of a lake system.
📌 3 Key Takeaways
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Objective & Hypothesis:In this article, an approximate analytical series solution of Modeling the pollution of a lake system is given.
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Key Findings & Data:Laplace-Adomian decomposition method (LADM) was used for the serial solution.
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Conclusion & Impact:These comparisons show that LADM is a powerful method for obtaining approximate solutions to the problem of modeling the pollution of a lake system.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this article, an approximate analytical series solution of Modeling the pollution of a lake system is given. Laplace-Adomian decomposition method (LADM) was used for the serial solution. LADM with different input values has been used for the solution. The solutions obtained by LADM were compared with the results obtained by Fourth Order Runge Method. In addition, the results are compared with residual errors. These comparisons show that LADM is a powerful method for obtaining approximate solutions to the problem of modeling the pollution of a lake system.
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Cite This Article
Doğan, N. (2022). Series Solution of Modelling the Pollution. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 1, 81–88. https://ajindex.com/articles/609070
Babolian, E., Biazar, J., Vahidi, A.R., A new computational method for Laplace transforms by decomposition method, Applied Mathematics and Computation, 150(2004), 841–846
Biazar, J., Farrokhi, L., Islam, M.R., Modeling the pollution of a system of lakes, Applied Mathematics and Computation, 178(2006), 423–430
Biazar, J., Shahbala, M., Ebrahimi, H., VIM for Solving the Pollution Problemof a Systemof Lakes, Hindawi Publishing Corporation, Journal of Control Science and Engineering, 2010(2010), Article ID 829152, 6 pages, doi:10.1155/2010/829152
Doğan, N., Solution Of The System Of Ordinary Differential Equations By Combined Laplace Transform-Adomian Decomposition Method, Mathematical and Computational Applications An International Journal, 17(2012), 203-211
Doğan, N., Akin, Ö., Series solution of epidemic model, TWMS Journal of Applied and Engineering Mathematics, 2(2)(2012), 238-244
Doğan, N., Numerical treatment of the model for HIV infection of CD4+T cells by using Multi-Step Laplace Adomian Decomposition Method, Discrete Dynamics in Nature and Society, 2012(2012), Article ID 976352, 11 pages, doi:10.1155/2012/976352
Doğan, N., Numerical solution of Chaotic Genesio System with Multi-Step Laplace Adomian Decomposition Method, Kuwait Journal of Science, 40(2013)
Khuri, S.A., A Laplace Decomposition Algorithm Applied To A Class Of Nonlinear Differential Equations, Journal of Applied Mathematics, 1(4)(2001), 141–155
Kiymaz, O., An Algorithm for Solving Initial Value Problems Using Laplace Adomian Decomposition Method, Applied Mathematical Sciences, 3(30)(2009), 1453 – 1459
Merdan, M., He’s Variational Iteration Method Applied To The Solution Of Modelling The Pollution Of A System Of Lakes, Dumlupınar Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 18(Nisan 2009), 59–70
Merdan, M., Homotopy Perturbatıon Method For Solvıng Modellıng The Pollutıon Of A System Of Lakes, SDU Journal Of Science (E-Journal), 4(1)(2009), 99-111
Wazwaz, A., The combined Laplace transform–Adomian decomposition method for handling nonlinear Volterra integro–differential equations, Applied Mathematics and Computation,216(2010), 1304–1309.