Yazar "Koksal, Mehmet Emir" için listeleme
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A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems
Jiwari, Ram; Pandit, Sapna; Koksal, Mehmet Emir (Springer Heidelberg, 2019)In this work, the authors developed two new B-spline collocation algorithms based on cubic trigonometric B-spline functions to find approximate solutions of nonlinear parabolic partial differential equations (PDEs) with ... -
Commutativity and Commutative Pairs of Some Differential Equations
Koksal, Mehmet Emir (Rgn Publ, 2018)In this study, explicit differential equations representing commutative pairs of some well-known second-order linear time-varying systems have been derived. The commutativity of these systems are investigated by considering ... -
Commutativity of first-order discrete-time linear time-varying systems
Koksal, Mehmet Emir (Wiley, 2019)After introducing the concept of commutativity for continuous-time linear time-varying systems, the related literature and the results obtained so far are presented. For a simple introduction of the commutativity of ... -
Commutativity of systems with their feedback conjugates
Koksal, Mehmet Emir (Sage Publications Ltd, 2019)After introducing commutativity concept and summarizing the relevant literature, this work is focused on the commutativity of feedback conjugates. It is already known that a linear time-varying differential system describing ... -
Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs
Koksal, Mehmet Emir (De Gruyter Open Ltd, 2016)Necessary and sufficiently conditions are derived for the decomposition of a second order linear time-varying system into two cascade connected commutative first order linear time-varying subsystems. The explicit formulas ... -
Decomposition of Third-Order Linear Time-Varying Systems into Its Second- and First-Order Commutative Pairs
Koksal, Mehmet Emir; Yakar, Ali (Springer Birkhauser, 2019)Decomposition is a common tool for the synthesis of many physical systems. It is also used for analyzing large-scale systems which are then known as tearing and reconstruction. On the other hand, commutativity of ... -
Explicit commutativity conditions for second-order linear time-varying systems with non-zero initial conditions
Koksal, Mehmet Emir (Polska Akad Nauk, Polish Acad Sciences, 2019)Although the explicit commutativitiy conditions for second-order linear time-varying systems have been appeared in some literature, these are all for initially relaxed systems. This paper presents explicit necessary and ... -
Haar wavelets operational matrix based algorithm for computational modelling of hyperbolic type wave equations
Pandit, Sapna; Jiwari, Ram; Bedi, Karan; Koksal, Mehmet Emir (Emerald Group Publishing Ltd, 2017)Purpose - The purpose of this study is to develop an algorithm for approximate solutions of nonlinear hyperbolic partial differential equations. Design/methodology/approach - In this paper, an algorithm based on the Haar ... -
High-order finite volume approximation for population density model based on quadratic integrate-and-fire neuron
Singh, Paramjeet; Kumar, Santosh; Koksal, Mehmet Emir (Emerald Group Publishing Ltd, 2019)Purpose The purpose of this paper is to develop and apply a high-order numerical method based on finite volume approximation for quadratic integrate-and-fire (QIF) neuron model with the help of population density approach. ... -
Inverse Commutativity Conditions for Second-Order Linear Time-Varying Systems
Koksal, Mehmet Emir (Hindawi Ltd, 2017)The necessary and sufficient conditions where a second-order linear time-varying system.. is commutative with another system.. of the same type have been given in the literature for both zero initial states and nonzero ... -
Lie symmetry based-analytical and numerical approach for modified Burgers-KdV equation
Kumar, Vikas; Kaur, Lakhveer; Kumar, Ajay; Koksal, Mehmet Emir (Elsevier Science Bv, 2018)In this work, the variable-coefficient modified Burgers-KdV equation, which arises in modeling various physical phenomena, is studied for exact and numerical solution based on Lie symmetry. The infinitesimals of the group ... -
Necessary and Sufficient Conditions For the Existence of Periodic Solutions in A Predator-Prey Model
Pelen, Neslihan Nesliye; Koksal, Mehmet Emir (Texas State Univ, 2017)Liu et al [14] found necessary and sufficient conditions for the existence of periodic solutions of the predator-prey dynamical systems with semi-ratio dependent generalized functional response. In this work, we obtain a ... -
Numerical Approximation for Nonlinear Noisy Leaky Integrate-and-Fire Neuronal Model
Sharma, Dipty; Singh, Paramjeet; Agarwal, Ravi P.; Koksal, Mehmet Emir (Mdpi, 2019)We consider a noisy leaky integrate-and-fire (NLIF) neuron model. The resulting nonlinear time-dependent partial differential equation (PDE) is a Fokker-Planck Equation (FPE) which describes the evolution of the probability ... -
Numerical simulation of power transmission lines
Koksal, Mehmet Emir; Senol, Mehmet; Unver, Ali Kemal (Elsevier Science Bv, 2019)A complete mathematical model of power transmission lines is obtained for time and space dependent shunt parameters and time dependent series parameters. All possible initial and boundary conditions related with line ... -
Numerical solutions of telegraph equations with the Dirichlet boundary condition
Ashyralyev, Allaberen; Turkcan, Kadriye Tuba; Koksal, Mehmet Emir (Amer Inst Physics, 2016)In this study, the Cauchy problem for telegraph equations in a Hilbert space is considered. Stability estimates for the solution of this problem are presented. The third order of accuracy difference scheme is constructed ... -
Quasilinearization method for nonlinear differential equations with causal operators
Yakar, Ali; Koksal, Mehmet Emir (Int Scientific Research Publications, 2016)Employing quasilinearization technique coupled with the method of upper and lower solutions, we construct monotone sequences whose iterates are solutions to corresponding linear problems and show that the sequences converge ... -
Stability analysis of fractional differential equations with unknown parameters
Koksal, Mehmet Emir (Inst Mathematics & Informatics, 2019)In this paper, the stability of fractional differential equations (FDEs) with unknown parameters is studied. Using the graphical based D-decomposition method, the parametric stability analysis of FDEs is investigated without ... -
Time and frequency responses of non-integer order RLC circuits
Koksal, Mehmet Emir (Amer Inst Mathematical Sciences-Aims, 2019)By introducing an auxiliary parameter, the dynamic of RLC electrical circuits of non-integer order is described by a fractional order differential equation. The order of derivative in the component models is assumed to be ... -
Transitivity of Commutativity for Second-Order Linear Time-Varying Analog Systems
Koksal, Mehmet Emir (Springer Birkhauser, 2019)It is proven that the transitivity property of commutativity is always valid for second-order linear time-varying analog systems whether their initial states are zero or not. Throughout the study, it is assumed that the ...
