Yazar "Pınar, Zehra" için Fakülteler listeleme
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Analytical solution of population balance equation involving aggregation and breakage in terms of auxiliary equation method
Pınar, Zehra; Dutta, Abhishek; Beny, Guido; Öziş, Turgut (Indian Academy of Sciences, 2015)This paper presents an effective analytical simulation to solve population balance equation (PBE), involving particulate aggregation and breakage, by making use of appropriate solution(s) of associated complementary equation ... -
Analytical solution of population balance equation involving growth, nucleation and aggregation in terms of auxiliary equation method
Pınar, Zehra; Dutta, Abhishek; Beny, Guido; Öziş, Turgut (Natural Sciences Publishing Co., 2015)The Auxiliary Equation Method (AEM) has been modified to obtain the solutions of a Population Balance Equation (PBE) involving particulate growth, nucleation and aggregation phenomena. In all the cases examined, the volume ... -
Analytical solutions of some nonlinear fractional-order differential equations by different methods
Odabaşı, M.; Pınar, Zehra; Koçak, H. (John Wiley and Sons Ltd, 2021)In this work, we investigate exact solutions of some fractional-order differential equations arising in mathematical physics. We consider the space-time fractional Kaup-Kupershmidt, the space-time fractional Fokas, and the ... -
Analytical studies on waves in nonlinear transmission line media
Pınar, Zehra (2019)In this study, we introduce the lossy nonlinear transmission line equation, whichis the dissipative-dispersive equation and an important problem of electricaltransmission lines. For the engineers and physicist, the equation ... -
Analytical study on the balancing principle for the nonlinear Klein-Gordon equation with a fractional power potential
Pınar, Zehra (Elsevier B.V., 2020)In the literature, although many methods depend on the ansatz solution, there is not any specific rule to determine the degree of the ansatz i.e. balancing principle. The problem is especially seen with the fractional and ... -
Analytical study on the balancing principle for the nonlinear Klein?Gordon equation with a fractional power potential
Pınar, Zehra (Elsevier, 2020)[No Abstract Available] -
Classical symmetry analysis and exact solutions for generalized Korteweg-de Vries models with variable coefficients
Pınar, Zehra; Öziş, Turgut (Pergamon-Elsevier Science Ltd, 2018)In this paper, by using the classical symmetry analysis method symmetries for the generalized variable-coefficient Korteweg-de Vries model are obtained. Then, the reduced nonlinear ordinary differential equations with ... -
Exact solutions for the third-order dispersive-Fisher equations
Pınar, Zehra; Koçak, Hüseyin (Springer, 2018)In this study, we reveal the exact solutions of the third-order semilinear and nonlinear dispersive equations containing Fisher-like nonlinearity, i.e. dispersion-reaction models, which can be used in physical and engineering ... -
Generalized logistic equation method for Kerr law and dual power law Schrodinger equations
Pınar, Zehra; Rezazadeh, Hadi; Eslami, Mostafa (Springer, 2020)The Kerr law and dual power law Schrodinger equations for obtaining optical soliton solutions are studied. In this paper, we investigate these equations via generalized logistic equation method. These various kinds of ... -
An Improved Analytical Solution of Population Balance Equation Involving Aggregation and Breakage via Fibonacci and Lucas Approximation Method
Pınar, Zehra; Dutta, Abhishek; Kassemi, Mohammed; Öziş, Turgut (Walter De Gruyter Gmbh, 2019)This study presents a novel analytical solution for the Population Balance Equation (PBE) involving particulate aggregation and breakage by making use of the appropriate solution(s) of the associated complementary equation ... -
Lie group analysis and exact solutions of nonlinear dispersive equations for porous media
Pınar, Zehra; Koçak, Hüseyin (Springer Science and Business Media Deutschland GmbH, 2022)Dispersive equations have recently been attractive in the nonlinear wave phenomena appearing in many applications of science and engineering. In this work, the symmetry solutions of the dispersive equation with porous ... -
Modified Multi-Frequency Homotopy Analysis Method for Evolution Equations
Pınar, Zehra (Amer Inst Physics, 2017)A new modification of homotopy analysis method (HAM) is considered for nonlinear evaluation equations. The auxiliary differential operator is chosen respect to the order of nonlinearity of the equation. Asymmetric and ... -
The New Soliton Solutions via Modified Hereman's Simplified Method
Pınar, Zehra (Amer Inst Physics, 2017)It is well recognized that new types of exact travelling wave solutions to nonlinear partial differential equations can be obtained modifications of the methods which are in hand. In this study, the new ansatz which was ... -
A Note for Finding Exact Solutions of Some Nonlinear Differential Equations
Pınar, Zehra; Öziş, Turgut (Yildiz Technical Univ, 2018)In this note, we show that a particular solution of Bernoulli equation is also the solutions of various second and high order nonlinear ordinary differential equations. The differential equations having solution as a ... -
Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique
Gao, Wei; Rezazadeh, Hadi; Pınar, Zehra; Baskonus, Haci Mehmet; Sarwar, Shahzad; Yel, Gülnur (Springer, 2020)This paper presents an analytical solver which is known as a generalization of types methodologies. With the proposed method, one of the old but at the same time popular problem is considered, which is known as nonlinear ... -
Observations on the class of Balancing Principle for nonlinear PDEs that can be treated by the auxiliary equation method
Pınar, Zehra; Öziş, Turgut (Pergamon-Elsevier Science Ltd, 2015)There is collection of methods for finding explicit travelling wave solutions of nonlinear partial differential equations (NLPDEs) in the literature. Quite a large amount of these methods employ Balancing Principle in their ... -
On solutions of the fifth-order dispersive equations with porous medium type non-linearity
Koçak, Hüseyin; Pınar, Zehra (Taylor & Francis Ltd, 2018)In this work, we focus on obtaining the exact solutions of the fifth-order semi-linear and non-linear dispersive partial differential equations, which have the second-order diffusion-like (porous-type) non-linearity. The ... -
Population Balances Involving Aggregation and Breakage Through Homotopy Approaches
Dutta, Abhishek; Pınar, Zehra; Constales, Denis; Öziş, Turgut (Walter De Gruyter Gmbh, 2018)Homotopy techniques in nonlinear problems are getting increasingly popular in engineering practice. The main reason is because the homotopy method deforms continuously a difficult problem under study into a simple problem, ... -
The reaction-cross-diffusion models for tissue growth
Pınar, Zehra (John Wiley and Sons Ltd, 2021)The application of mathematics to fields such as biology, medicine, and biotechnology has resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has emerged. The considered models of ... -
Semi-Analytical Solutions of Nonlinear Equation Modelling Reaction in a Dispersive Medium
Pınar, Zehra; Koçak, Hüseyin; Daoud, Yasser (2018)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 ...