Matematik  Bilgisayar / Mathematics and Computer Science
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Makaleler / Articles
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Güncel Gönderiler

Energy preserving integration of the strongly coupled nonlinear Schrodinger equation
(Amer Inst Physics, 2 Huntington Quadrangle, Ste 1No1, Melville, Ny 117474501 USA, 2015)In this paper, average vector field method (AVF) is derived for strongly coupled Schrodinger equation (SCNLS). The SCNLS equation is discretized in space by finite differences and is solved in time by structure preserving ... 
A combinatorial discussion on finite dimensional Leavitt path algebras
(Hacettepe Univ, Fac Sci, Hacettepe Univ, Fac Sci, Beytepe, Ankara 06800, Turkey, 2014)Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ... 
Harmonic mappings for which coanalytic part is a closetoconvex function of order b
(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch6330, Switzerland, 20150116)In the present paper we investigate a class of harmonic mappings for which the second dilatation is a closetoconvex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):11011108, ... 
Quasiconformal Harmonic Mappings Related to Janowski AlphaSpirallike Functions
(Amer Inst Physics, 2 Huntington Quadrangle, Ste 1No1, Melville, Ny 117474501 Usa, 2014)Let f = h(z) + g(z) be a univalent sensepreserving harmonic mapping of the open unit disc D = {z/vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar = vertical bar g'(z)/h'(z)vertical ... 
Model order reduction for nonlinear Schrodinger equation
(Elsevier Science Inc, 360 Park Ave South, New York, Ny 100101710 USA, 20150501)We apply the proper orthogonal decomposition (POD) to the nonlinear Schrodinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite differences and is solved in time by structure ... 
The RayleighRitz minimax formula in KaplanskyHilbert modules
(Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands, 201506)We give the RayleighRitz minimax formula for cyclically compact operators on KaplanskyHilbert modules. 
An investigation on a new class of harmonic mappings
(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch6330, Switzerland, 2013)In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:7275, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic ... 
Harmonic mappings related to the mfold starlike functions
(Elsevier Science Inc, 360 Park Ave South, New York, Ny 100101710 Usa, 20150915)In the present paper we will give some properties of the subclass of harmonic mappings which is related to mfold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ... 
On the class of harmonic mappings which is related to the class of bounded boundary rotation
(Elsevier Science Inc, 360 Park Ave South, New York, Ny 100101710 Usa, 20150915)The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero ... 
Growth and distortion theorems for multivalent Janowski closetoconvex harmonic functions with shear construction method
(Scientific Technical Research Council TurkeyTubitak, Ataturk Bulvarı No 221, Kavaklıdere, Tr06100 Ankara, Turkey, 2013)In this paper we introduce the class of mvalent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class. Our study is based on the harmonic shear methods for harmonic functions. 
On quasiconformal harmonic mappings lifting to minimal surfaces
(Scientific Technical Research Council TurkeyTubitak, Ataturk Bulvarı No 221, Kavaklıdere, Tr06100 Ankara, Turkey, 2013)We prove a growth theorem for a function to belong to the class Sigma(mu; a) and generalize a WeierstrassEnneper representation type theorem for the minimal surfaces given in [5] to spacelike minimal surfaces which lie ... 
Instructional technology as a tool in creating constructivist classrooms
(Elsevier Science Bv, Sara Burgerhartstraat 25, Po Box 211, 1000 Ae Amsterdam, Netherlands, 2013)Unlike traditional approach, constructivists view the learner as the active participant of the learning process. Constructivist instructors' main concern is providing the learners with learning environments in which they ... 
Nonpolynomial Spline Solution for a FourthOrder Nonhomogeneous Parabolic Partial Differential Equation with a Separated Boundary Condition
(SpringerVerlag Berlin, Heidelberger Platz 3, D14197 Berlin, Germany, 2013)In this paper, a fourthorder nonhomogeneous parabolic partial differential equation with initial and separated boundary conditions is solved by using a nonpolynomial spline method. In the solution of the problem, finite ... 
Nonpolynomial Spline Method for the Solution of Nonlinear Burgers' Equation
(SpringerVerlag Berlin, Heidelberger Platz 3, D14197 Berlin, Germany, 2013)A nonpolynomial cubic spline method is proposed in this paper to solve onedimensional nonlinear Burgers' equation [Burger, A Mathematical Model Illustrating the Theory of Turbulence (1948); Rashidinia and Mohammadi, ... 
Analyzing the Chaotic Behaviour of the Harmonic Function of HenonHeiles Potential
(SpringerVerlag Berlin, Heidelberger Platz 3, D14197 Berlin, Germany, 201205)In this work, the chaotic behaviour of Harmonic function of HenonHeiles Hamiltonian system is computed and analyzed by using multidimensional Schwarzian derivative. Moreover, chaotic behaviour of the saddle points in ... 
Bounded LogHarmonic Functions with Positive Real Part
(Academic Press inc Elsevier Science, 525 B St, Ste 1900, San Diego, Ca 921014495 USA, 20130301)Let H(D) be the linear space of all analytic functions defined on the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}, and let B be the set of all functions w(z) is an element of H(D) such that vertical ... 
An Investigation on a New Class of Harmonic Mappings
(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch6330, Switzerland, 20131107)In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:7275, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic ... 
NonPolynomial Spline Method for a TimeDependent HeatLike Lane Emden Equation
(Polish Acad Sciences inst Physics, Al Lotnikow 3246, Pl02668 Warsaw, Poland, 201201)In this study, a timedependent heatlike LaneEmden equation is solved by using a nonpolynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different ... 
Comparison of the Data Classification Approaches to Diagnose Spinal Cord Injury
(Hindawi Publishing Corporation, 410 Park Avenue, 15Th Floor, #287 Pmb, New York, Ny 10022 USA, 2012)In our previous study, we have demonstrated that analyzing the skin impedancesmeasured along the key points of the dermatomes might be a useful supplementary technique to enhance the diagnosis of spinal cord injury (SCI), ... 
Invariant Subspaces of Weakly Compactfriendly Operators
(Scientific Technical Research Council TurkeyTubitak, Ataturk Bulvari No 221, Kavaklidere, Tr06100 Ankara, Turkey, 2012)We prove that if a nonzero weakly compactfriendly operator B on a Banach lattice with topologically full center is locally quasinilpotent, then the super rightcommutant [B > of B has a nontrivial closed invariant ...