Series solutions of two simultaneous vector differential equations originated from classical stokes flow problem

Numerical simulation of advective Lotka-Volterra systems by discontinuous Galerkin method Aktaş, Senem; Karasözen, Bülent; Uzunca, Murat; Department of Scientific Computing (2014) In this thesis, we study numerically advection-diffusion-reaction equations arising from Lotka-Volterra models in river ecosystems characterized by unidirectional flow. We consider two and three species models which include competition, coexistence and extinction depending on the parameters. The one dimensional models are discretized by interior penalty discontinuous Galerkin model in space. For time discretization, fully implicit backward Euler method and semi-implicit IMEX-BDF methods are used. Numerical ...
Stochastic delay differential equations Aladağlı, E. Ezgi; Yolcu Okur, Yeliz; Vardar Acar, Ceren; Department of Financial Mathematics (2017) In many areas of science like physics, ecology, biology, economics, engineering, financial mathematics etc. phenomenas do not show their effect immediately at the moment of their occurrence. Generally, they influence the future states. In order to understand the structure and quantitative behavior of such systems, stochastic delay differential equations (SDDEs) are constructed while inserting the information that are obtained from the past phenomena into the stochastic differential equations (SDEs). SDDEs b...
Radiation characteristic analysis of tapered slot antennas Cihangir, Aykut; Alatan, Lale; Aydın Çivi, Hatice Özlem; Department of Electrical and Electronics Engineering (2010) The aim of this study is to investigate the effects of changes in the physical parameters of tapered slot antennas (TSA) on their radiation characteristics and also to explore the possibility of reconfiguration in the radiation pattern of TSA by switching between two different types of tapering. There are mainly three physical parameters that affect the radiation pattern of TSAs. These are antenna length, aperture width and the ground extension. After designing a wideband microstrip line to slot line transi...
Lyapunov type inequalities and their applications for linear and nonlinear systems under impulse effect Kayar, Zeynep; Ağacık, Zafer; Department of Mathematics (2014) In this thesis, Lyapunov type inequalities and their applications for impulsive systems of linear/nonlinear differential equations are studied. Since systems under impulse effect are one of the fundamental problems in most branches of applied mathematics, science and technology, investigation of their theory has developed rapidly in the last three decades. In addition, Lyapunov type inequalities have become a popular research area in recent years due to the fact that they provide not only better understandi...
Comparison and evaluation of various MESFET models Altay, Mirkan; Toker, Canan; Department of Electrical and Electronics Engineering (2005) There exist various models for Microwave MESFET equivalent circuit representations. These models use different mathematical models to describe the same MESFET and give similar results. However, there are some differences in the results when compared to the experimental measurements. In this thesis, various theoretical models are applied to the same MESFET and comparison made with measured data. It is shown that some models worked better on some parameters of the MESFET, while the others were more effective ...

Citation Formats

R. Eid, “Series solutions of two simultaneous vector differential equations originated from classical stokes flow problem,” Ph.D. - Doctoral Program, Middle East Technical University, 1994.