Journals / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 1

Series Solution of Modelling the Pollution

Pages
81–88
Publication Date
2022-11-02
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

🎯
Objective & Hypothesis:In this article, an approximate analytical series solution of Modeling the pollution of a lake system is given.
📊
Key Findings & Data:Laplace-Adomian decomposition method (LADM) was used for the serial solution.
💡
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.

🔖

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

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. 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
  2. Biazar, J., Farrokhi, L., Islam, M.R., Modeling the pollution of a system of lakes, Applied Mathematics and Computation, 178(2006), 423–430
  3. 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
  4. 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
  5. Doğan, N., Akin, Ö., Series solution of epidemic model, TWMS Journal of Applied and Engineering Mathematics, 2(2)(2012), 238-244
  6. 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
  7. Doğan, N., Numerical solution of Chaotic Genesio System with Multi-Step Laplace Adomian Decomposition Method, Kuwait Journal of Science, 40(2013)
  8. Khuri, S.A., A Laplace Decomposition Algorithm Applied To A Class Of Nonlinear Differential Equations, Journal of Applied Mathematics, 1(4)(2001), 141–155
  9. Kiymaz, O., An Algorithm for Solving Initial Value Problems Using Laplace Adomian Decomposition Method, Applied Mathematical Sciences, 3(30)(2009), 1453 – 1459
  10. 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
  11. 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
  12. Wazwaz, A., The combined Laplace transform–Adomian decomposition method for handling nonlinear Volterra integro–differential equations, Applied Mathematics and Computation,216(2010), 1304–1309.