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- W2326202238 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 PadA© approximants. The results to get the homotopy perturbation method (HPM) are applied PadA© 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: PadA© approximants, homotopy perturbation method, modelling the pollution of a system of lakes BIR GOLLER SISTEMININ KIRLILIK MODELININ HOMOTOPY PERTURBATION YONTEMI ILE COZUMU Ozet: Bu makale de bir goller sisteminin kirlilik modeli gibi lineer olmayan adi diferensiyel denklem sisteminin yaklasik analitik cozumunu bulmak icin homotopy perturbation yontemi uygulandi. Onerilen yontem homotopy perturbation yontemi, Laplace donusumu ve PadA© yaklasimini baz alir. Homotopy perturbation yontemin'den elde edilen sonuclara PadA© yaklasimi onerildi. Bu yontemin dogrulugu Matlab ode23s ile mukayese edildi. Onerdigimiz yaklasim, lineer olmayan adi diferensiyel denklem sistemlerinin analitik cozumlerini gosterdi. Yontemin guvenilirligini ve basitligini gostermek icin bazi grafikler sunuldu. Anahtar kelimeler: PadA© yaklasimi, Homotopy perturbation yontemi, Bir goller sisteminin kirlilik modeli" @default.
- W2326202238 created "2016-06-24" @default.
- W2326202238 creator A5028899956 @default.
- W2326202238 date "2009-06-08" @default.
- W2326202238 modified "2023-09-22" @default.
- W2326202238 title "HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES" @default.
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- W2326202238 doi "https://doi.org/10.29233/sdufeffd.134670" @default.
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