Browsing by Publisher "American Institute of Physics Inc."
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Item The influence of ion implantation on cell attachment to glassy polymeric carbon(American Institute of Physics Inc., 2006) Zimmerman R.; Gurhan I.; Ozdal-Kurt F.; Sen B.H.; Rodrigues M.; Ila D.In vitro biocompatibility tests have been carried out with model cell lines to demonstrate that near surface implantation of silver in Glassy Polymeric Carbon (GPC) can completely inhibit cell attachment on implanted areas while leaving adjacent areas unaffected. Patterned ion implantation permits precise control of tissue growth on medical applications of GPC. We have shown that silver ion implantation or argon ion assisted surface deposition of silver inhibits cell growth on GPC, a desirable improvement of current cardiac implants. © 2006 American Institute of Physics.Item The isospin admixture of the ground state and the properties of the isobar analog resonances in deformed nuclei(American Institute of Physics Inc., 2008) Aygor H.A.; Cakmak N.; Maras I.; Selam C.Within quasiparticle random phase approximation (QRPA), Pyatov-Salamov method for the self-consistent determination of the isovector effective interaction strength parameter, restoring a broken isotopic symmetry for the nuclear part of the Hamiltonian, is used. The isospin admixtures in the ground state of the parent nucleus, and the isospin structure of the isobar analog resonance (IAR) state are investigated by including the pairing correlations between nucleons for 72-80Kr isotopes. Our results are compared with the spherical case and with other theoretical results. © 2008 American Institute of Physics.Item Multi wave method for the generalized form of BBM equation(American Institute of Physics Inc., 2014) Bildik N.; Tandogan Y.A.In this paper, we apply the multi-wave method to find new multi wave solutions for an important nonlinear physical model. This model is well known as generalized form of Benjamin Bona Mahony (BBM) equation. Using the mathematics software Mathematica, we compute the traveling wave solutions. Then, the multi wave solutions including periodic wave solutions, bright soliton solutions and rational function solutions are obtained by the multi wave method. It is seen that this method is very useful mathematical approach for generalized form of BBM equation. © 2014 AIP Publishing LLC.Item Preface of the "symposium on some new trends in nonlinear differential equations"(American Institute of Physics Inc., 2015) Bildik N.; Demir D.D.[No abstract available]Item On the solutions of nonlinear Boussinesq differential equations(American Institute of Physics Inc., 2015) Bildik N.; Tandoʇan Y.A.In recent years, many studies upon development of new techniques for solutions ofthese models and creation of mathematical modelsofreal life problems which encountered in many ofthe applied scienceshave been done. New solution functions were tried to obtain by using development methods related to this type nonlinear physical problems. Especially, soliton solutions, singular solutions and other solutions were obtained for these type physical problems.In this study, trial equation method is handled in order to find new exact solutions of non-integrable physical models. This method is applied to nonlinear partial differential equations. From hence, solution functions in elliptic integral form are obtained. Elliptic functions have kinds such as Elliptic-F, Elliptic-E and Elliptic-Pi. © 2015 AIP Publishing LLC.Item Solution of a quadratic nonlinear problem with multiple scales Lindstedt-Poincare method(American Institute of Physics Inc., 2015) Pakdemirli M.; SarI G.A recently developed perturbation algorithm namely the Multiple Scales Lindstedt-Poincare method (MSLP) is employed to solve an equation with quadratic nonlinearity. Approximate solutions are obtained with classical multiple scales Method (MS) and the MSLP method and they are compared with numerical solutions. It is shown that MSLP solutions are better than the MS solutions for the strongly nonlinear case. © 2015 AIP Publishing LLC.Item Implementation of taylor collocation and adomian decomposition method for systems of ordinary differential equations(American Institute of Physics Inc., 2015) Bildik N.; Deniz S.The importance of ordinary differential equation and also systems of these equations in scientific world is a crystal-clear fact. Many problems in chemistry, physics, ecology, biology can be modeled by systems of ordinary differential equations. In solving these systems numerical methods are very important because most realistic systems of these equations do not have analytic solutions in applied sciences In this study, we apply Taylor collocation method and Adomian decomposition method to solve the systems of ordinary differential equations. In these both scheme, the solution takes the form of a convergent power series with easily computable components. So, we will be able to make a comparison between Adomian decomposition and Taylor collocation methods after getting these power series. © 2015 AIP Publishing LLC.Item The solution of a string model by adomian decomposition method(American Institute of Physics Inc., 2015) Demir D.D.; Koca E.Adomian Decomposition Method for the dimensionless axially accelerating string is proposed in this paper. The velocity is assumed as a constant mean velocity. The influence of the velocity on the displacement of the string is numerically discussed. © 2015 AIP Publishing LLC.Item Tauberian theorems for Abel summability of sequences of fuzzy numbers(American Institute of Physics Inc., 2015) Yavuz E.; Çoşkun H.We give some conditions under which Abel summable sequences of fuzzy numbers are convergent. As corollaries we obtain the results given in [E. Yavuz, Ö. Talo, Abel summability of sequences of fuzzy numbers, Soft computing 2014, doi: 10.1007/s00500-014-1563-7]. © 2015 AIP Publishing LLC.Item New approximate solutions for the strongly nonlinear cubic-quintic duffing oscillators(American Institute of Physics Inc., 2016) Karahan M.M.F.; Pakdemirli M.Strongly nonlinear cubic-quintic Duffing oscillator is considered. Approximate solutions are derived using the multiple scales Lindstedt Poincare method (MSLP), a relatively new method developed for strongly nonlinear oscillators. The free undamped oscillator is considered first. Approximate analytical solutions of the MSLP are contrasted with the classical multiple scales (MS) method and numerical simulations. It is found that contrary to the classical MS method, the MSLP can provide acceptable solutions for the case of strong nonlinearities. Next, the forced and damped case is treated. Frequency response curves of both the MS and MSLP methods are obtained and contrasted with the numerical solutions. The MSLP method and numerical simulations are in good agreement while there are discrepancies between the MS and numerical solutions. © 2016 Author(s).Item Exact solutions of the time-fractional Fisher equation by using modified trial equation method(American Institute of Physics Inc., 2016) Tandogan Y.A.; Bildik N.In this study, modified trial equation method has been proposed to obtain precise solutions of nonlinear fractional differential equation. Using the modified test equation method, we obtained some new exact solutions of the time fractional nonlinear Fisher equation. The obtained results are classified as a soliton solution, singular solutions, rational function solutions and periodic solutions. © 2016 Author(s).Item Application of adomian decomposition method for singularly perturbed fourth order boundary value problems(American Institute of Physics Inc., 2016) Deniz S.; Bildik N.In this paper, we use Adomian Decomposition Method (ADM) to solve the singularly perturbed fourth order boundary value problem. In order to make the calculation process easier, first the given problem is transformed into a system of two second order ODEs, with suitable boundary conditions. Numerical illustrations are given to prove the effectiveness and applicability of this method in solving these kinds of problems. Obtained results shows that this technique provides a sequence of functions which converges rapidly to the accurate solution of the problems. © 2016 Author(s).Item The shooting method for the second order singularly perturbed differential equation(American Institute of Physics Inc., 2016) Demir D.D.; Koca E.In this study, we introduce the solution of the second order singularly perturbed differential equation. The shooting method will be used to obtain the series solution. The variation of the approximate solution for the nonhomogeneous equation is illustrated. © 2016 Author(s).Item Boundary layer equations and symmetry analysis of a Carreau fluid(American Institute of Physics Inc., 2016) Dolapci H.T.In this paper, boundary layer equations of the Carreau fluid have been examined. Lie group theory is applied to the governing equations and symmetries of the equations are determined. The non-linear partial differential equations and their boundary conditions are transformed into a system of ordinary differential equations using the similarity transformations obtained from the symmetries. The system of ordinary differential equations are numerically solved for the boundary layer conditions. Finally, effects of non-Newtonian parameters on the solutions are investigated in detail. © 2016 Author(s).Item Perturbation iteration method solutions of a nonlinear fin equation(American Institute of Physics Inc., 2016) Aksoy Y.; Pakdemirli M.Recently developed perturbation iteration method is successfully applied to a nonlinear fin equation. Approximate solutions are obtained using the perturbation iteration method as well as the classical perturbation method. Solutions obtained from the classical and the perturbation iteration method are compared with the numerical solutions. Perturbation iteration method yields very accurate results whereas the classical perturbation method fails to produce acceptable results for large parameters of perturbation. © 2016 Author(s).Item (I.) applications of mathematical methods and models in sciences and engineering(American Institute of Physics Inc., 2016) Bildik N.; Demir D.D.; Pandlr Y.[No abstract available]Item Preface of the "minisymposium on Applied Symmetries and Perturbation Methods"(American Institute of Physics Inc., 2016) Pakdemirli M.; Özhan B.B.; Dolapci H.[No abstract available]Item Effects of non-ideal boundary conditions on natural frequencies of fluid conveying micro-beams(American Institute of Physics Inc., 2016) Atci D.Ç.; Özkaya E.In this study, vibrations of fluid conveying micro-beams under non-ideal boundary conditions are investigated. Non-ideal boundary conditions are modeled as a linear combination of ideal clamped and ideal simply supported boundary conditions. The weighting factor k is presented as a rate of non-ideal boundary condition. Non-ideal clamped and non-ideal simply supported beams are both considered to see the effects of the boundary conditions. Hamilton's principle is used to obtain equations of motion of the system and the method of multiple scales which is one of the perturbation techniques is applied to the equation. Approximate solutions of the linear and nonlinear equations of motion are obtained and the effects of non-ideal boundary conditions on natural frequencies are presented. © 2016 Author(s).Item Applications of optimal perturbation iteration method for solving nonlinear differential equations(American Institute of Physics Inc., 2017) Deniz S.; Bildik N.Perturbation iteration method has been recently constructed and it has been also proven that this technique is very effective for solving some nonlinear differential equations. In this study, we develop the new optimal perturbation iteration method based on the perturbation iteration algorithms for the approximate solutions of nonlinear differential equations of many types. This work will greatly improve the computational efficiency of the perturbation iteration method. Applications also show that only a few terms are required to get an approximate solution which is more accurate and efficient than many other methods in literature. © 2017 Author(s).Item Determining critical load in the multispan beams with the nonlinear model(American Institute of Physics Inc., 2017) Demir D.D.; Sinir B.G.; Usta L.The beams which are one of the most commonly used structural members are quite important for many researchers. Mathematical models determining the response of beams under external loads are concluded from elasticity theory through a series of assumptions concerning the kinematics of deformation and constitutive behavior. In this study, the derivation of the nonlinear model is introduced to determine the critical load in the multispan beams. Since the engineering practice of this kind of problems is very common, determining the critical load is quite important. For this purpose, the nonlinear mathematical model of the multispan Euler-Bernoulli beam is firstly obtained. To be able to obtain the independent of the material and the geometry, the present model are became dimensionless. Then, the critical axial load can be determined via the nonlinear solution of the governing equation. © 2017 Author(s).