On soliton structures of generalized resonance equation with time dependent coefficients

Tchier, Fairouz; Kılıç, Bülent; Akgül, Ali

doi:10.1016/j.ijleo.2016.09.103

Cited by 25 publications

(5 citation statements)

References 22 publications

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“…A quick overview of the reproducing kernel results can be viewed from previous studies, 28–30 and an overview of its application fields can be collected from previous studies 31–57 . This modern numerical method is based on its structure on pointwise evaluation, successive approximations, and the Green functions approach.…”

Section: Preface and Showmentioning

confidence: 99%

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Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

Arqub

Singh

Maayah

et al. 2021

Math Methods in App Sciences

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Atangana-Baleanu-Caputo differential operators are analytically and numerically treated using extended reproducing kernel Hilbert space technique. With the utilization of a fuzzy strongly generalized differentiability form, a new fuzzy characterization theorem beside two fuzzy fractional solutions is constructed and computed. To besetment the attitude of fuzzy fractional numerical solutions, analysis of convergence and conduct of error beyond the reproducing kernel theory are explored and debated. In this tendency, three computational algorithms and modern trends in terms of analytic and numerical solutions are propagated. Meanwhile, the dynamical characteristics and mechanical features of these fuzzy fractional solutions are demonstrated and studied during two applications via three-dimensional graphs and tabulated numerical values. In the end, highlights and future suggested research work are eluded.

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Section: Preface and Showmentioning

confidence: 99%

“…The RKHSM major territory topic is in numerical simulation of multidimensional problems engender in applied mathematics and engineering researches. Anyhow, properties, characteristics, and results on the RKHSM can be viewed and collected with huge acquaintances from previous studies 28–57 …”

Section: Preface and Showmentioning

confidence: 99%

Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

Arqub

Singh

Maayah

et al. 2021

Math Methods in App Sciences

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show abstract

“…Bu metot, kısmi türevli diferansiyel denklemlerin önemli bölümünün (eliptik, parabolik ve hiperbolik, doğrusal ve doğrusal olmayan, bir, iki ve üç boyutlu gibi) neredeyse tamamına uygulanabilir. Metot ilk önce Alman matematik insanı Erich Rothe tarafından 1930'da parabolik tipteki denklemlerde uygulanmıştır [7,21]. Sonraları fizik bilimindeki sınır değer problemlerini çözmede kullanmak için matematikçiler tarafından geliştirilmiştir [8,23].…”

Section: çIzgiler Metoduunclassified

Solution of Sawada-Kotera Equation with Numerical Methods and Comparison of Solutions

Özkan

Uyhan

2019

Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi

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Özet: Hesaplama biliminde bilgisayarın etkili ve verimli kullanılması ile beraber kısmi türevli diferansiyel denklemleri çözebilmek için kaynaklarda çok çeşitli metotlar sunulmuştur. Bu metotların bazıları analitik metot çözümü bulurken bazıları algoritma tabanlı yaklaşık çözümü bulan metotlardır. Bu çalışmada, Sawada-Kotera denklemi çizgiler metodu ve radyal baz fonksiyonları yardımı ile ağsız çizgiler metodu kullanılarak çözülmüştür. Elde edilen sonuçlar üzerinden de bu iki metot karşılaştırılmıştır.

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“…Due to its advantage in modelling lifetime data as compared to the other distributions, many researchers continue to develop modified versions of the general Weibull distribution with the aim of increasing its flexibility [4,5,6,7,8,9,10,[11][12][13][14][15]. An extensive review of modifications of the Weibull distribution together with expressions for the CDFs, PMF, or the PDF as well as the hazard functions was presented by [16].…”

Section: Introductionmentioning

confidence: 99%

Lomax Weibull Distribution

Apam¹,

Nasiru

Adjei

2019

AJPAS

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In this article, we introduce the Lomax-Weibull (LoW) distribution using the method of composition of CDFs from the Lomax and Weibull distributions. Expressions for the moment generating function, hazard and survival functions were derived. A plot of the probability distribution function and cumulative distributions were done using the Python software. We also used the maximum likelihood method of estimation to derive the score functions for estimating the parameters of the distribution.

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On soliton structures of generalized resonance equation with time dependent coefficients

Cited by 25 publications

References 22 publications

Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

Solution of Sawada-Kotera Equation with Numerical Methods and Comparison of Solutions

Lomax Weibull Distribution

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