HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES

Mehmet Merdan

doi:10.29233/sdufeffd.134670

HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES

Abstract

Abstract: In this article, homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as modelling the pollution of a system of lakes. The proposed scheme is based on homotopy perturbation method (HPM), Laplace transform and PadÃ© approximants. The results to get the homotopy perturbation method (HPM) are applied PadÃ© approximants. The accuracy of this method is examined by comparison with the Matlab ode23s. Our proposed approach showed results to analytical solutions of nonlinear ordinary differential equation systems. Some plots are presented to show the reliability and simplicity of the methods. Key words: PadÃ© approximants, homotopy perturbation method, modelling the pollution of a system of lakes BİR GÖLLER SİSTEMİNİN KİRLİLİK MODELİNİN HOMOTOPY PERTURBATİON YÖNTEMİ İLE ÇÖZÜMÜ Özet: Bu makale de bir göller sisteminin kirlilik modeli gibi lineer olmayan adi diferensiyel denklem sisteminin yaklaşık analitik çözümünü bulmak için homotopy perturbation yöntemi uygulandı. Önerilen yöntem homotopy perturbation yöntemi, Laplace dönüşümü ve PadÃ© yaklaşımını baz alır. Homotopy perturbation yöntemin'den elde edilen sonuçlara PadÃ© yaklaşımı önerildi. Bu yöntemin doğruluğu Matlab ode23s ile mukayese edildi. Önerdiğimiz yaklaşım, lineer olmayan adi diferensiyel denklem sistemlerinin analitik çözümlerini gösterdi. Yöntemin güvenilirliğini ve basitliğini göstermek için bazı grafikler sunuldu. Anahtar kelimeler: PadÃ© yaklaşımı, Homotopy perturbation yöntemi, Bir göller sisteminin kirlilik modeli

Keywords

Padé yaklaşımı, Homotopy perturbation yöntemi, Bir göller sisteminin kirlilik modeli

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Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Mehmet Merdan This is me

Publication Date

June 8, 2009

Submission Date

June 8, 2009

Acceptance Date

-

Published in Issue

Year 2009 Volume: 4 Number: 1

DOI

https://doi.org/10.29233/sdufeffd.134670

IZ

https://izlik.org/JA59KY49GG

Cite

RIS / Bibtex

APA

Merdan, M. (2009). HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 4(1), 99-111. https://doi.org/10.29233/sdufeffd.134670

AMA

1.Merdan M. HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2009;4(1):99-111. doi:10.29233/sdufeffd.134670

Chicago

Merdan, Mehmet. 2009. “HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 4 (1): 99-111. https://doi.org/10.29233/sdufeffd.134670.

EndNote

Merdan M (June 1, 2009) HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES. Süleyman Demirel University Faculty of Arts and Science Journal of Science 4 1 99–111.

IEEE

[1]M. Merdan, “HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 4, no. 1, pp. 99–111, June 2009, doi: 10.29233/sdufeffd.134670.

ISNAD

Merdan, Mehmet. “HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 4/1 (June 1, 2009): 99-111. https://doi.org/10.29233/sdufeffd.134670.

JAMA

1.Merdan M. HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2009;4:99–111.

MLA

Merdan, Mehmet. “HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 4, no. 1, June 2009, pp. 99-111, doi:10.29233/sdufeffd.134670.

Vancouver

1.Mehmet Merdan. HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2009 Jun. 1;4(1):99-111. doi:10.29233/sdufeffd.134670