Hirota method for solving reaction-diffusion equations with generalized nonlinearity

The Hirota Method is applied to find an exact solitary wave solution to evolution equation with generalized nonlinearity. By introducing the power form of Hirota ansatz the bilinear representation for this equation is derived and the traveling wave solution is constructed by Hirota perturbation. We show that velocity of this solution is naturally fixed by truncating the Hirota’s perturbation expansion. So in our approach, this truncate on works similarly to the way Ablowitz and Zeppetella obtained an exact travelling wave solution of Fisher’s equation by finding the special wave speed for which the resulting ODE is of the Painleve type. In the special case the model admits N shock soliton solution and the reduction to Burgers’ equation

On the numerical solution of Korteweg-de Vries equation by the iterative splitting method

In this paper, we apply the method of iterative operator splitting on the Korteweg-de Vries (KdV) equation. The method is based on first, splitting the complex problem into simpler sub-problems. Then each sub-equation is combined with iterative schemes and solved with suitable integrators. Von Neumann analysis is performed to achieve stability criteria for the proposed method applied to the KdV equation. The numerical results obtained by iterative splitting method for various initial conditions are compared with the exact solutions. It is seen that they are in a good agreement with each other. © 2011 Elsevier Inc. All rights reserved

Futuristic Approach to Health Applications in Metaverse Environment

The healthcare system in Metaverse provides an interactive, immersive and recreational healthcare experience customized to meet the needs of individual patients. The metaverse consists of advanced technology revolutions such as artificial intelligence, augmented reality (AR), virtual reality (VR), telepresence, digital mirroring, and blockchain (Park, 2022) that have had a major impact on healthcare (Park, 2022). The development of virtual health institutions and even virtual physicians, where health services can be provided in the metaverse environment, will contribute to the development of sustainable health systems in many respects. It is common for areas such as health education, daily disease management, virtual consultation, psychological and dietitian counseling to be transferred to the metaverse environment and carried out effectively. The fact that the legal infrastructure in this area is not yet developed in the world, the licensing and the feasibility of the necessary tests while developing technologies on an important issue such as health, the need for time and money, the existence of cyber security risks, as in all other virtual systems are seen as obstacles to the transport of the health sector to the metaverse environment. Despite the fact that the demand for health is increasing day by day and the number of trained health personnel is limited, there is a potential for development in this field, although it contains issues that are open to discussion

Compressive mechanical behaviour of E-glass/polyester composite laminates tailored with a thermoplastic preforming binder

Compressive mechanical behaviour and failure modes of E (electrical)-glass/polyester composite laminates tailored with a thermoplastic preforming polyester binder were investigated under ply-lay up and in-plane loading directions. Fiber preforms with various amount of the binder were consolidated under heat and pressure. The preform compaction experiments were performed by applying compressive pressure to the preforms, and the average thickness as a function of pressure was measured. It was found that the highest compaction of the preforms and therefore the highest fiber volume fraction can be obtained with 3 wt.% of the binder. Further increase of the amount of binder decreases the degree of compaction. Composite panels were fabricated by vacuum-assisted resin transfer molding using fabric preforms with various binder concentrations. The present investigation reveals that there are considerable effects of the binder on the compressive mechanical behaviour of the composites. Compression testing of the composites showed that the average strength values are in the range of 400-600 and 150-300 MPa for ply-lay up and in-plane directions, respectively. Also, both the strength and modulus values increase up to 3 wt.% of the binder, and these values decrease with further addition of the binder. Scanning electron microscopy showed that failure modes of the composites are altered significantly by the presence of the binder. Furthermore, the interaction between the binder and the reacting resin was followed to determine the extent of the binder dissolution and its effects on the viscosity of the resin and the mechanical behaviour of the matrix polymer. The results indicate that there is a partial dissolution of the binder within the matrix resin.Izmir Institute of Technology of Turkey under contract 2002 IYTE 06 projec

Modification of carbon fibre/epoxy composites by polyvinyl alcohol (PVA) based electrospun nanofibres

In this study, the effects of modifying interlaminar region of unidirectional carbon fibre/epoxy composites by the incorporation of electrospun polyvinyl alcohol (PVA) nanofibres were investigated. PVA nanofibres were directly deposited onto the carbon fabrics by electrospinning method to improve mechanical performance of those composites. The features of the electrospun nanofibres were characterized by microscopy techniques. The unidirectional carbon fibre/epoxy composite laminates with/without PVA nanofibre interlayers were manufactured by vacuum-infusion technique in a [0]4 configuration. Tensile, three-point bending, compression, Charpy-impact and Mode-I fracture toughness tests (Double Cantilever Beam (DCB)) were carried out in accordance with ASTM standards to evaluate mechanical performance of the composites. Scanning electron microscopy (SEM) observations were made on the specimens to evaluate microstructural features. It was observed that the carbon fabrics were successfully coated with a thin layer of PVA nanofibres by electrospinning technique. The results showed that P VA nanofibres improve the mechanical properties of unidirectional carbon/epoxy composite laminates when subjected to in-plane loading. On the other hand, PVA nanofibres slightly reduced the mode-I fracture toughness values although they led to more stable crack propagation.Scientific Research Projects of Izmir Institute of Technology with Project no.2015IYTE3

Yarı platonik tor yüzeyleri

YARI PLATONİK TOR YÜZEYLERİ Gülsün TANOĞLU Yüksek Lisans Tezi, Matematik Anabilim Dalı Tez Danışmanı: Prof. Dr. Adnan MELEKOĞLU 2020, 39 sayfa Bu çalışmanın amacı tor yüzeyleri üzerindeki düzgün hiperfigürleri tanıtmak ve bunların bazı geometrik, topolojik ve cebirsel özelliklerini incelemektir. Birinci bölümde kısaca tezin özeti verilmiştir. İkinci bölümde tez çalışması için gerekli olan temel bilgilere yer verilmiştir. Üçüncü bölümde Öklid düzlemi ve tor yüzeyleri üzerindeki düzgün hiperfigürler tanıtılmıştır. Son bölümde ise tor yüzeyleri üzerinde tipi (3, 3, 3), (2, 3, 6) ve (4, 4, 2) olan düzgün hiperfigür aileleri tanıtılmış ve bu ailelere ait olan düzgün hiperfigürlerin bazı cebirsel ve geometrik özellikleri incelenmiştir.İÇİNDEKİLER KABUL VE ONAY SAYFASI ............................................................................ iii BİLİMSEL ETİK BİLDİRİM SAYFASI ………………………………………….v ÖZET .....................................................................................................................vii ABSTRACT............................................................................................................ix ÖNSÖZ ...................................................................................................................xi KISALTMALAR VE SİMGELER DİZİNİ...........................................................xv ŞEKİLLER DİZİNİ..............................................................................................xvii ÇİZELGELER DİZİNİ .........................................................................................xix 1. GİRİŞ ...................................................................................................................1 2. TEMEL BİLGİLER .............................................................................................4 2.1. Grup Etkisi ........................................................................................................4 2.2. Temel Bölge......................................................................................................4 2.3. Bölüm Uzayı (Yörünge Uzayı) .........................................................................6 2.4. Üçgensel Gruplar ..............................................................................................7 2.5. Düzgün Figürler................................................................................................9 3. DÜZGÜN HİPERFİGÜRLER...........................................................................11 3.1. Cebirsel Hiperfigür..........................................................................................12 3.2. Düzgün Hiperfigürlerin Otomorfizmaları.......................................................13 3.3. Bölüm Hiperfigürü..........................................................................................13 xiv 3.4. Evrensel Topolojik Hiperfigürler ................................................................... 14 3.5. Küre Üzerinde Düzgün Hiperfigürler............................................................. 16 3.6. Tor Yüzeyleri Üzerinde Düzgün Hiperfigürler .............................................. 17 4. YARI PLATONİK TOR YÜZEYLERİ VE DÜZGÜN HİPERFİGÜR AİLELERİ............................................................................................................. 19 4.1. Tipi (3, 3, 3) olan Düzgün Hiperfigür Ailesi.................................................. 19 4.2. Tipi (2, 3, 6) olan Düzgün Hiperfigür Ailesi.................................................. 24 4.3. Tipi (4 ,4, 2) olan Düzgün Hiperfigür Ailesi.................................................. 28 5. SONUÇ.............................................................................................................. 35 KAYNAKLAR...................................................................................................... 37 ÖZGEÇMİŞ........................................................................................................... 3

Silver and zinc oxide based nano powders and their polymer based nanocomposites for antibacterial application

The microorganisms cause some serious infections. It is a requirement and a necessity to create sterile fields such as hospital, food processing and public places. Composite stones are one of the main building materials that have been used in buildings due to their high resistant to abrasives, chemicals and mechanical impacts. The silver (Ag), zinc oxide (ZnO), and also nano Ag loaded ZnO (ZnO/Ag) nanopowders have demonsrated capability for the preparation of the polymer based antibacterial nanocomposite materials. In this study, Ag/polyester, ZnO/polyester, Ag/ZnO/polyester and their nanocomposites were prepared and tested with various weight fractions. The microstructure and surface morphology of these nanocomposites were investigated by means of scanning electron microscopy (SEM/EDX). The thermal properties were analyzed by differential scanning calorimetry (DSC) and thermal gravimetric analysis (TGA). Finally, The antibacterial properties of nanocomposites were analyzed against gram positive (Bacillus subtilis) and gram negative bacteria (Escherichia coli).AKG Yalıtım and Ministry of Science and Technology of Industry, Repuplic of Turkey (SAN-TEZ, Project No. 1209-STZ.2012-1

Effect of adhesive on the strengthening of aluminum foam-filled circular tubes

Studies of the crushing behavior of closed-cell, aluminum foam-filled aluminum and steel tubes have shown an interaction effect between tubewall and foam filler [1, 2, 3]. The crushing loads of foam-filled tubes are, therefore, found to be higher than the sum of the crushing loads of foam (alone) and tube (alone) mainly due to this effect. Santosa et al. [1], based on FEM results, proposed the following equation for the average crushing load of foam-filled square tubes of length b