Yazar "Öziş, Turgut" için 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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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, ...