Graduate School of Applied Mathematics, Article

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Structure-preserving reduced-order modeling of Korteweg–de Vries equation Uzunca, Murat; Karasözen, Bülent; Yıldız, Süleyman (2021-10-01) © 2021 International Association for Mathematics and Computers in Simulation (IMACS)Computationally efficient, structure-preserving reduced-order methods are developed for the Korteweg–de Vries (KdV) equations in Hamiltoni...
Gradient-based grey wolf optimizer with Gaussian walk: Application in modelling and prediction of the COVID-19 pandemic Khalilpourazari, Soheyl; Hashemi Doulabi, Hossein; Özyüksel Çiftçioğlu, Aybike; Weber, Gerhard-Wilhelm (2021-09-01) © 2021 Elsevier LtdThis research proposes a new type of Grey Wolf optimizer named Gradient-based Grey Wolf Optimizer (GGWO). Using gradient information, we accelerated the convergence of the algorithm that enables us to so...
Time varying control of magnetohydrodynamic duct flow Evcin, Cansu; Uğur, Ömür; Tezer, Münevver (2021-09-01) © 2021 Elsevier Masson SASOptimal control of the unsteady, laminar, fully developed flow of a viscous, incompressible and electrically conducting fluid is considered under the effect of a time varying magnetic field B0(t) ...
Reduced order modelling of nonlinear cross-diffusion systems Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat; Yıldız, Süleyman (2021-07-15) © 2021 Elsevier Inc.In this work, we present reduced-order models (ROMs) for a nonlinear cross-diffusion problem from population dynamics, the Shigesada-Kawasaki-Teramoto (SKT) equation with Lotka-Volterra kinetics. The fo...
BACK-ORDERED INVENTORY MODEL WITH INFLATION IN A CLOUDY-FUZZY ENVIRONMENT Barman, Haripriya; Pervin, Magfura; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2021-07-01) In this paper, an Economic Production Quantity model for deteriorating items with time-dependent demand and shortages including partially back-ordered is developed under a cloudy-fuzzy environment. At first, we develop a c...
Time dependent stop-loss reinsurance and exposure curves Mert, Özenç Murat; Kestel, Ayşe Sevtap (2021-06-01) Stop-loss contracts are the most commonly used reinsurance agreements in insurance whose important factors are the retention and the maximum (cap) values attained on the random loss, which may occur within the policy perio...
A ROBUST OPTIMIZATION MODEL FOR SUSTAINABLE AND RESILIENT CLOSED-LOOP SUPPLY CHAIN NETWORK DESIGN CONSIDERING CONDITIONAL VALUE AT RISK Lotfi, Reza; Mehrjerdi, Yahia Zare; Pishvaee, Mir Saman; Sadeghieh, Ahmad; Weber, Gerhard Wilhelm (2021-06-01) One of the challenges facing supply chain designers is designing a sustainable and resilient supply chain network. The present study considers a closed-loop supply chain by taking into account sustainability, resilience, r...
Assessment of longevity risk: credibility approach Yıldırım Külekci, Bükre; Kestel, Ayşe Sevtap (2021-05-01)
Learning reduced-order dynamics for parametrized shallow water equations from data Yildiz, Suleyman; Goyal, Pawan; Benner, Peter; Karasözen, Bülent (2021-05-01) This paper discusses a non-intrusive data-driven model order reduction method that learns low-dimensional dynamical models for a parametrized shallow water equation. We consider the shallow water equation in non-traditiona...
MULTI-OBJECTIVE LINGUISTIC-NEUTROSOPHIC MATRIX GAME AND ITS APPLICATIONS TO TOURISM MANAGEMENT Bhaumik, Ankan; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2021-04-01) Game theory plays an important role in numerous decision-oriented real-life problems. Nowadays, many such problems are basically characterized by various uncertainties. Uncertainties come to happen due to decision makers' ...
NEW SOLUTIONS OF HYPERBOLIC TELEGRAPH EQUATION İNÇ, MUSTAFA; Partohaghighi, Mohammad; AKINLAR, Mehmet Ali; Weber, Gerhard-Wilhelm (2021-04-01) We present a new method based on unification of fictitious time integration (FTI) and group preserving (GP) methods. The GP method is applied in numerically discretized ordinary differential equations obtained from applica...
Effect of price-sensitive demand and default risk on optimal credit period and cycle time for a deteriorating inventory model Paul, Asim; Pervin, Magfura; Roy, Sankar Kumar; Weber, Gerhard Wilhelm; Mirzazadeh, Abolfazl (2021-03-01) In this paper, we formulate and solve an economic order quantity model with default risk. Our main purpose is to investigate retailer's optimal replenishment time and credit period for deteriorating items under selling pri...
An Integration of Neural Network and Shuffled Frog-Leaping Algorithm for CNC Machining Monitoring Goli, Alireza; Tirkolaee, Erfan Babaee; Weber, Gerhard Wilhelm (2021-03-01) This paper addresses Acoustic Emission (AE) from Computer Numerical Control (CNC) machining operations. Experimental measurements are performed on the CNC lathe sensors to provide the power consumption data. To this end, a...
Sustainable fuzzy multi-trip location-routing problem for medical waste management during the COVID-19 outbreak Tirkolaee, Erfan Babaee; Abbasian, Parvin; Weber, Gerhard Wilhelm (Elsevier BV, 2021-02-01) The performance of waste management system has been recently interrupted and encountered a very serious situation due to the epidemic outbreak of the novel Coronavirus (COVID-19). To this end, the handling of infectious me...
A quantitative analysis of low carbon performance in industrial sectors of developing world Ali, Sadia Samar; ERSÖZ, FİLİZ; Kaur, Rajbir; Altaf, Bothinah; Weber, Gerhard Wilhelm (2021-02-01) The world is moving towards carbon restricted scenario where excellence and growth in business is contingent upon good governance and excellent low carbon emission related policies, strategies, and long-term values to stay...
Multi-objective solid transportation-location problem with variable carbon emission in inventory management: a hybrid approach Das, Soumen Kumar; Pervin, Magfura; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2021-02-01) The most important strategic issue for several industries is where to find facilities so as to discover a transportation path for optimizing the objectives at the same time. This paper acquaints a streamlining model with i...
Robust bi-level programming for renewable energy location Lotfi, Reza; Mardani, Nooshin; Weber, Gerhard Wilhelm (Wiley, 2021-01-01) One of the key factors in the establishment of power plants is proper location, which entails addressing various criteria. Power plant establishment operations are included in the fundamental designs; in turn, comprehensiv...
Rumour propagation: an operational research approach by computational and information theory Guerbuez, Burcu; Mawengkang, Herman; Husein, Ismail; Weber, Gerhard Wilhelm (Springer Science and Business Media LLC, 2021-01-01) Rumours are a kind of information that has a impact on social life and economies, which spread quickly and widely, especially, via internet. Recently, the spread of information affects our daily lives due to the increasing...
Goal–oriented a posteriori error estimation for Dirichlet boundary control problems Yücel, Hamdullah (Elsevier BV, 2021-1) We study goal-oriented a posteriori error estimates for the numerical approximation ofDirichlet boundary control problem governed by a convection diffusion equation withpointwise control constraints on a two dimensional co...
A DRBEM approximation of the Steklov eigenvalue problem Türk, Önder (Elsevier BV, 2021-01-01) In this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing d...

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