Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi

Münevver Tuz

doi:10.63063/jsat.1682099

TR EN

Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi

Abstract

Bu çalışmada, Burger-Huxley denkleminin analitik çözümleri (G′/G, 1/G) genişleme yöntemi kullanılarak elde edilmiştir. Bu yöntem, doğrusal olmayan kısmi diferansiyel denklemleri çözmek için etkili bir tekniktir ve burada hem konveksiyon hem de reaksiyon-difüzyon terimlerini içeren Burger-Huxley denklemine uygulanmıştır, deklemin trigonometrik, hiperbolik ve rasyonel tip çözümleri elde edilmiştir. Ayrıca, çözümlere keyfi değerler verilerek 2 ve 3 boyutlu grafikler oluşturulmuştur. Elde edilen çözümler, denklemin fiziksel ve matematiksel yapısını daha iyi anlamaya yardımcı olur ve benzer tipteki diferansiyel denklemleri çözmek için bir rehber görevi görür.

Keywords

(G′/G, 1/G) genişleme yöntemi, doğrusal olmayan kısmi diferansiyel denklem, dengeleme terimi, analitik çözüm.

Ethical Statement

Ethical approval is not required.

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Details

Primary Language

Turkish

Subjects

Numerical and Computational Mathematics (Other)

Journal Section

Research Article

Authors

Münevver Tuz ^*
0000-0002-9620-247X
Türkiye

Early Pub Date

June 26, 2025

Publication Date

June 30, 2025

Submission Date

April 23, 2025

Acceptance Date

June 17, 2025

Published in Issue

Year 2025 Volume: 3 Number: 1

DOI

https://doi.org/10.63063/jsat.1682099

IZ

https://izlik.org/JA79WS95TK

APA

Tuz, M. (2025). Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi. Journal of Studies in Advanced Technologies, 3(1), 42-49. https://doi.org/10.63063/jsat.1682099

AMA

1.Tuz M. Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi. JSAT. 2025;3(1):42-49. doi:10.63063/jsat.1682099

Chicago

Tuz, Münevver. 2025. “Burger-Huxley Denkleminin Analitik Çözümlerinin (G′ G, 1 G) Genişleme Tekniği Ile Analizi”. Journal of Studies in Advanced Technologies 3 (1): 42-49. https://doi.org/10.63063/jsat.1682099.

EndNote

Tuz M (June 1, 2025) Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi. Journal of Studies in Advanced Technologies 3 1 42–49.

IEEE

[1]M. Tuz, “Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi”, JSAT, vol. 3, no. 1, pp. 42–49, June 2025, doi: 10.63063/jsat.1682099.

ISNAD

Tuz, Münevver. “Burger-Huxley Denkleminin Analitik Çözümlerinin (G′ G, 1 G) Genişleme Tekniği Ile Analizi”. Journal of Studies in Advanced Technologies 3/1 (June 1, 2025): 42-49. https://doi.org/10.63063/jsat.1682099.

JAMA

1.Tuz M. Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi. JSAT. 2025;3:42–49.

MLA

Tuz, Münevver. “Burger-Huxley Denkleminin Analitik Çözümlerinin (G′ G, 1 G) Genişleme Tekniği Ile Analizi”. Journal of Studies in Advanced Technologies, vol. 3, no. 1, June 2025, pp. 42-49, doi:10.63063/jsat.1682099.

Vancouver

1.Münevver Tuz. Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi. JSAT. 2025 Jun. 1;3(1):42-9. doi:10.63063/jsat.1682099

Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi

Burger-Huxley Denkleminin Analitik Çözümlerinin (G′/G, 1/G) Genişleme Tekniği ile Analizi

Abstract

Keywords

Ethical Statement

An Analysis of Analytical Solutions of the Burger-Huxley Equation by (G′/G, 1/G) Expansion Technique

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Early Pub Date

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Submission Date

Acceptance Date

Published in Issue

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