A novel implementation of Petrov-Galerkin method to shallow water solitary wave pattern and superperiodic traveling wave and its multistability: generalized Korteweg-de Vries equation

This work deals with the constitute of numerical solutions of the generalized Korteweg-de Vries (GKdV) equation with Petrov-Galerkin finite element approach utilising a cubic B-spline function as the trial function and a quadratic function as the test function. Accurateness and effectiveness of the submitted methods are shown by employing propagation of single solitary wave. The L2, L∞error norms and I1, I2and I3invariants are used to validate the applicability and durability of our numerical algorithm. Implementing the Von-Neumann theory, it is manifested that the suggested method is marginally stable. Furthermore, supernonlinear traveling wave solution of the GKdV equation is presented using phase plots. It is seen that the GKdV equation supports superperiodic traveling wave solution only and it is significantly affected by velocity and nonlinear parameters. Also, considering a superficial periodic forcing multistability of traveling waves of perturbed GKdV equation is presented. It is found that the perturbed GKdV equation supports coexisting chaotic and various quasiperiodic features with same parametric values at different initial condition

Numerical investigations of shallow water waves via generalized equal width (GEW) equation

In this article, a mathematical model representing solution of the nonlinear generalized equal width (GEW) equation has been considered. Here we aim to investigate solutions of GEW equation using a numerical scheme by using sextic B-spline Subdomain finite element method. At first Galerkin finite element method is proposed and a priori bound has been established. Then a semi-discrete and a Crank-Nicolson Galerkin finite element approximation have been studied respectively. In addition to that a powerful Fourier series analysis has been performed and indicated that our method is unconditionally stable. Finally, proficiency and practicality of the method have been demonstrated by illustrating it on two important problems of the GEW equation including propagation of single solitons and collision of double solitary waves. The performance of the numerical algorithm has been demonstrated for the motion of single soliton by computing L∞ and L2 norms and for the other problem computing three invariant quantities I1, I2 and I3. The presented numerical algorithm has been compared with other established schemes and it is observed that the presented scheme is shown to be effectual and valid

Relationship between Pollen Counts and Weather Variables in East-Mediterranean Coast of Turkey

Background: Aeroallergen sampling provides information regarding the onset, duration and severity of the pollen season that clinicians use to guide allergen selection for skin testing and treatment

Characteristics of food allergy in children: National multicenter study

Conference: Congress of the European-Academy-of-Allergy-and-Clinical-Immunology (EAACI) Location: Lisbon, PORTUGAL Date: JUN 01-05, 2019Background : Food allergies impose a significant burden on the life of the child and the family. In this study, to determine the demographic characteristics of food allergies, we investigated the characteristics of patients with food allergies in different regions of Pediatric Allergy- Immunology departments in Turkey. Method : Turkey ' s National Study of Allergy and Clinical Immunology Society has conducted a Study Group on Food Allergies. 25 centers participated in this multicenter, cross- sectional and descriptive study.European Academy of Allergy and Clinical Immunolog

Numerical solutions of kaup-kupershmidt and ıto equations with b-spline collocation method

In this study, it is aimed to obtain the numerical solutions of two types of fifth-order Korteweg-de Vries (KdV) equations namely Kaup-Kupershmidt (K-K) and Ito. For this purpose, collocation finite element method is used. L2 and L error norms are computed for single soliton solutions to demonstrate the proficiency and accuracy of the present method. The method is shown to be unconditionally stable by performing the von-Neumann stability analysis

Numerical solutions of some partial differential equations with B-spline finite element method

Bu tez altı bölüm içermektedir. Birinci bölümde, tezde kullanılan bazı temel kavramlar tanıtılmış, lineer oluşum denklemleri hakkında genel bilgiler verilmiştir. Sonlu farklar ve sonlu elemanlar yöntemleri ile birlikte spline interpolasyon ve B-spline interpolasyon fonksiyonları tanımlanmıştır. Son olarak, nümerik çözümleri hesaplanacak olan dalga denklemleri test problemleri ile birlikte tanıtılmıştır. İkinci bölümde; model problemlerden sınır şartları ile verilen Gilson-Pickering (GP) denklemi septik B-spline kollokasyon metodu kullanılarak nümerik olarak çözülmüştür. Tek solitary dalga hareketinin incelendiği test problemi ile tam çözüm ve nümerik sonuçlar karşılaştırılarak çözülmüştür. Elde edilen sonuçlar tablolaştırılmış ve denklem için kararlılık analizi yapılmıştır. Üçüncü bölümde; Genelleştirilmiş Oskolkov denkleminin yaklaşık çözümünü hesaplamak için kuintik B-spline fonksiyonlara dayalı kollokasyon sonlu elemanlar yöntemi uygulanmıştır. Önerilen yöntem, tek solitary dalga hareketi ve Gaussian ile Undular Bore başlangıç şartları kullanılarak çözülmüştür. Elde edilen sonuçlar tablolaştırılmış ve denklem için kararlılık analizi yapılmıştır. Dördüncü bölümde, Kudryashov-Sinelschkov denkleminin septik B-spline fonksiyonlar kullanılarak sonlu eleman modeli oluşturulmuştur. Kudryashov-Sinelschkov denkleminin şok dalga hareketi, iki solitary dalganın etkileşimi, Gaussian şartı ve Undular bore başlangıç şartı ile ele alınmıştır. Elde edilen sonuçlar tablolaştırılmış ve denklem için kararlılık analizi yapılmıştır. Beşinci bölümde, ilk bölümde tanıtılan fifth order Korteweg de Vries (fKdV) denklemlerinin sayısal çözümleri araştırılmıştır. Sawada-Kotera (SK), Caudrey-Dodd-Gibbon (CDG), Lax, Kaup-Kuperschmit (KK) ve Ito denklemleri için septik B-spline fonksiyonlar kullanılarak nümerik çözümleri elde edilmiştir. Her bir denklem için tek solitary dalga hareketi incelenmiş, sonuçlar tablolaştırılmıştır. Yine her bir denklem için kararlılık analizi yapılmıştır. Altıncı bölümde, her bir denklem için tezde kullanılan kollokasyon sonlu elemanlar yöntemi ile elde edilen sonuçlar ve öneriler verilmiştir.This Ph.D. thesis contains six sections. In the first section, some basic concepts used in the thesis are introduced and general information about linear formation equations is given. Spline interpolation and B-spline interpolation functions are defined together with finite difference and finite element methods. Finally, wave equations, whose numerical solutions are to be calculated, are introduced together with the test problems. In the second section; Gilson-Pickering (GP) equation given with boundary conditions from model problems is solved numerically by using septic B-spline collocation method. The test problem in which single solitary wave motion is examined is solved by comparing the exact solution and numerical results. Obtained results are tabulated and stability analysis is performed for the equation. In the third section; To calculate the approximate solution of the generalized Oskolkov equation, the collocation finite element method based on quintic B-spline functions is applied. The proposed method is solved using single solitary wave motion and Gaussian and Undular Bore initial conditions. Obtained results are tabulated and stability analysis is performed for the equation. In the fourth section, the finite element model of the Kudryashov-Sinelschkov equation is constructed using septic B-spline functions. Shock wave motion of Kudryashov-Sinelschkov equation, interaction of two solitary waves, Gaussian condition and Undular bore initial condition are discussed. Obtained results are tabulated and stability analysis is performed for the equation. In the fifth section, numerical solutions of the fifth order Korteweg de Vries (fKdV) equations introduced in the first section are investigated. Numerical solutions of Sawada-Kotera (SK), Caudrey-Dodd-Gibbon (CDG), Lax, Kaup-Kuperschmit (KK) and Ito equations are obtained by using septic B-spline functions. For each equation, single solitary wave motion is examined and the results are tabulated. Again, stability analysis is performed for each equation. In the sixth section, the results and suggestions obtained by the collocation finite element method used in the thesis for each equation are given

Correlation of nasal eosinophils with nasal obstruction in children with rhinitis monosensitised to house dust mites

30th Congress of the European-Academy-of-Allergy-and-Clinical-Immunology (EAACI) -- JUN 11-15, 2011 -- Istanbul, TURKEYWOS: 000329462201076…European Acad Allergy & Clin Immunol (EAACI

Anti-cancer activity of naringenin loaded smart polymeric nanoparticles in breast cancer

Breast cancer is the most common form of cancer among women worldwide, and approximately comprise 25% of all female malignancies. Naringenin (Nar) is a promising anticancer agent for breast cancer. However, its use as a therapeutic agent is limited due to its poor water solubility and bioavailability. The purpose of the present study is to prepare pH and thermo sensitive smart polymeric nanoparticles carrying naringenin (NarSPNPs) to improve bioavailability, and increase therapeutic efficacy against breast cancer. N-isopropylacrylamide and Vinyl imidazole were used as thermo and pH sensitive monomers, respectively. NarSPNPs were characterized using dynamic light scattering (DLS) analyses, SEM and FTIR for particle size and potential analysis, surface morphology and functional group determinations, respectively. Release profile and its effects on cell proliferation, apoptosis and cell cycle in breast cancer were also studied. Physicochemical characterization of newly prepared NarSPNPs, cytotoxicity, and IC50 assessments confirmed their stability and bioactivity as an anti-breast cancer agent with no toxicity against human epithelia cells. These findings together with flow cytometry analysis, revealed that apoptosis is the main mechanism underlying cell death after NarSPNPs treatment