Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium

DAOUD, Yasser; Koçak, Hüseyin; PINAR, ZEHRA

Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium

Zehra PINAR, (Tekirdağ Namık Kemal Üniversitesi)

Hüseyin KOÇAK, (Pamukkale Üniversitesi)

Yasser DAOUD (Al-Neelain University)

Karaelmas Fen ve Mühendislik Dergisi

4 0

Yıl: 2018 Cilt: 8 Sayı: 1 Sayfa Aralığı: 197 - 202 Metin Dili: İngilizce İndeks Tarihi: 03-02-2020

Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium

Öz:

This study explores the semi-analytical solutions of the third-order dispersive equation with reaction (Fisher-like) term. Recently,the proposed problem has been exactly solved in the literature. Additionally, the semi-analytical solutions are needed to understandthe sensitivity of homotopy based methods in solving the proposed reaction-dispersion equation. Using symbolic computation withcarefully chosen perturbation parameters, the semi-analytical solutions are compared with the exact solutions, in order to show theefficiency of homotopy and Padé techniques. Obtained solutions, which can play key role in modelling reaction in a dispersive medium,are illustrated and discussed.

Anahtar Kelime:

Dağılımlı Bir Ortamda Doğrusal Olmayan Reaksiyon Model Denkleminin Yarı Analitik Çözümleri

Öz:

Bu çalışma, üçüncü mertebeden reaksiyon terimli dağılım(dispersive) denkleminin yarı analitik çözümlerini üzerinedir. Son zamanlarda ele alınan problem literatürde tam olarak çözülmüştür. Ayrıca, yarı analitik çözümler, önerilen reaksiyon-dağılım denkleminin çözümünde homotopi temelli yöntemlerin hassasiyetini anlamak için gereklidir. Seçilen pertürbasyon parametreleri ile sembolik hesaplama kullanarak, yarı analitik çözümler, homotopi ve Padé tekniklerinin verimliliğini göstermek için kesin çözümlerle karşılaştırılmaktadır. Elde edilen çözümler dağılımlı ortamda reaksiyon modellemesinde büyük rol oynamaktadır.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	PINAR Z, Koçak H, DAOUD Y (2018). Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. , 197 - 202.
Chicago	PINAR ZEHRA,Koçak Hüseyin,DAOUD Yasser Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. (2018): 197 - 202.
MLA	PINAR ZEHRA,Koçak Hüseyin,DAOUD Yasser Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. , 2018, ss.197 - 202.
AMA	PINAR Z,Koçak H,DAOUD Y Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. . 2018; 197 - 202.
Vancouver	PINAR Z,Koçak H,DAOUD Y Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. . 2018; 197 - 202.
IEEE	PINAR Z,Koçak H,DAOUD Y "Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium." , ss.197 - 202, 2018.
ISNAD	PINAR, ZEHRA vd. "Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium". (2018), 197-202.

APA	PINAR Z, Koçak H, DAOUD Y (2018). Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. Karaelmas Fen ve Mühendislik Dergisi, 8(1), 197 - 202.
Chicago	PINAR ZEHRA,Koçak Hüseyin,DAOUD Yasser Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. Karaelmas Fen ve Mühendislik Dergisi 8, no.1 (2018): 197 - 202.
MLA	PINAR ZEHRA,Koçak Hüseyin,DAOUD Yasser Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. Karaelmas Fen ve Mühendislik Dergisi, vol.8, no.1, 2018, ss.197 - 202.
AMA	PINAR Z,Koçak H,DAOUD Y Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. Karaelmas Fen ve Mühendislik Dergisi. 2018; 8(1): 197 - 202.
Vancouver	PINAR Z,Koçak H,DAOUD Y Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium. Karaelmas Fen ve Mühendislik Dergisi. 2018; 8(1): 197 - 202.
IEEE	PINAR Z,Koçak H,DAOUD Y "Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium." Karaelmas Fen ve Mühendislik Dergisi, 8, ss.197 - 202, 2018.
ISNAD	PINAR, ZEHRA vd. "Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium". Karaelmas Fen ve Mühendislik Dergisi 8/1 (2018), 197-202.