American Journal of Computational and Applied Mathematics

American Journal of Computational and Applied Mathematics is a peer-reviewed international journal. This journal publishes significant research papers from all branches of applied mathematical and computational sciences. It publishes original papers of high scientific value in all areas of computational and applied mathematics.

Selcuk Kutluay

Editorial Board Member of American Journal of Computational and Applied Mathematics

Head of Academic Department/Faculty, Department of Mathematics, Faculty of Arts and Sciences, İnönü University, Turkey

Research Areas

Numerical Solutions of Nonlinear Partial Differential Equations, Finite Element Methods, Finite Difference Methods

Education

1993Ph.DUniversity of Bradford  (U.K.)
1987M.ScInonu University (Turkey)
1984B.ScInonu University (Turkey)

Experience

2006-presentProfessor, Inonu University (Turkey)
2001-2006Assoc. Prof., Inonu University (Turkey)
1994-2001Assist. Prof., Inonu University (Turkey)
1988-1993Research Assist.(Ph.D.Student), University of Bradford (U.K.)
1984-1988Research Assist., Inonu University (Turkey)

Publications: Journals

[1]  A.S. Wood, S. Kutluay, A heat balance integral model of the thermistor,Int. J. Heat Mass Transfer, 38-10 (1995) 1831-1840.
[2]  S. Kutluay, A.R. Bahadır, A. Özdeş, The numerical solution of one-phase classical stefan problem, J. Comput. Appl. Math.,81(1997) 135-144.
[3]  S. Kutluay, A.R. Bahadır, A. Özdeş, A variety of Finite Difference Methods to the Thermistor with a New Modified Electrical Conductivity, Appl. Math. Comput., 106(2-3)(1999)205-213.
[4]  S. Kutluay, A.R. Bahadır, A. Özdeş, Various Methods to the Thermistor Problem with a Bulk Electrical Conductivity, Int. J. Numer. Meth. Engng. 45(1999)1-12.
[5]  S. Kutluay, A.R. Bahadır, A. Özdeş, Numerical Solution of one-dimensional Burgers equation: explicit and exact-explicit finite difference methods, J. Comput. Appl. Math. 103(1999)251-261.
[6]  S. Kutluay, A.R. Bahadır, A. Özdeş, A Small Time Solutions for the Korteweg-DeVries Equation, Appl. Math. Comput., 107 (2000) 203-210.
[7]  S. Kutluay, A. Esen, A lumped Galerkin method for solving the Burgers equation, Int. J. Comput. Math., 81(11) (2004) 1433-1444.
[8]  S. Kutluay, A. Esen, A B-spline finite element method for the thermistor problem with the modified electrical conductivity, Appl. Math. Comput., 156 (2004) 621-632.
[9]  S. Kutluay, A. Esen, A linearized numerical scheme for Burgers-like equations, Appl. Math. Comput., 156 (2004) 295-305.
[10]  S. Kutluay, A. Esen, İ. Dağ, Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method, J. Comput. Appl. Math., 167 (2004) 21-33.
[11]  S. Kutluay, A. Esen, An Isotherm migration formulation for one-phase Stefan problem with a time dependent Neumann condition, Appl. Math. Comput.,150 (2004) 59-67.
[12]  A. Esen, S. Kutluay, A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method, Appl. Math. Comput., 148 (2004) 321-329.
[13]  S. Kutluay, A.S. Wood, Numerical solutions of the thermistor problem with a ramp function electrical conductivity, Appl. Math. Comput.,148(1) (2004) 145-162.
[14]  S. Kutluay, Numerical schemes for one-dimensional Stefan-like problems with a forcing term, Appl. Math. Comput., 168 (2) (2005) 1159-1168.
[15]  S. Kutluay, A. Esen, Finite element approaches to the PTC thermistor problem, Appl. Math. Comput., 163(1) (2005) 147-162.
[16]  S. Kutluay, A. Esen, Finite element solution of the thermistor problem with a ramp electrical conductivity, Appl. Math. Comput., 161(3) (2005) 897-913.
[17]  S. Kutluay, A. Esen, Numerical solutions of the thermistor problem by spline finite elements, Appl. Math. Comput.,162(1) (2005) 475-489.
[18]  T. Öziş, A. Esen, S. Kutluay, Numerical solution of Burgers' equation by quadratic B-spline finite elements, Appl. Math. Comput., 165 (2005) 237-249.
[19]  S. Özer, S. Kutluay, An analytical-numerical method for solving the Korteweg-de Vries equation, Appl. Math. Comput., 164 (2005) 789-797.
[20]  A. Esen, S. Kutluay, Application of a lumped Galerkin method to the regularized long wave equation,Appl. Math. Comput., 174 (2) (2006) 833-845.
[21]  S. Kutluay, A. Esen, A finite difference solution of the regularized long wave equation, Math. Probl. Eng., (2006), Art.No.85743 2006, 14 pages.
[22]  S. Kutluay, A.S. Wood and A.Esen, A heat balance integral solution of the thermistor problem with a modified electrical conductivity, Appl. Math. Model., 30 (4) (2006) 386-394.
[23]  A. Esen, S. Kutluay, A linearized implicit finite-difference method for solving the equal width wave equation,Int. J. Comput. Math., 83 (3) (2006) 319-330.
[24]  A. Esen, S. Kutluay, Solitary wave solutions of the modified equal width wave equation, Communications in Nonlinear Science and Numerical Simulations,13(8) (2008) 1538-1546.
[25]  A. Esen, S. Kutluay, New solitary solutions for the generalized RLW equation by He's Exp-function method, Int.J.Nonlinear Science & Numerical simulation, 10(5) (2009) 551-556.
[26]  S. Kutluay, A. Esen, Exp-function method for solving the generalized improved KdV equation, Int.J.Nonlinear Science & Numerical Simulation, 10(6) (2009) 717-725.
[27]  A. Esen, S. Kutluay, Application of the the Exp-function method to solve the two dimensional sine-Gordon equation, Int. J. Nonlinear Science & Numerical Simulation, 10(10) (2009) 1355-1359.
[28]  S. Kutluay, A. Esen and O. Taşbozan, The (G'/G)-expansion method for some nonlinear evolution equations, Appl.Math.Comput., 217(1) (2010) 384-391.
[29]  A. Özdeş, S. Kutluay, A.R. Bahadır, A. Şahin, A heat balance integral solution to Burger's equation in a space dimension, Balkan Physics Letters, 4 (4) (1996) 251-256.

Publications: Conferences/Workshops/Symposiums

[1]  A modification of the variable time step method for the Stefan problem, 2nd National Mathematics Symposium,Isparta (1998).
[2]  A direct variational iterative approximation method for one-dimensional parabolic problems, 40th Universary Mathematics Symposium of Atatürk University Atatürk Üniversitesi 40. Kuruluş Yıldönümü Matematik Sempozyumu, Erzurum, 1998.
[3]  A linearised of the one-dimensional Burgers equation and its numerical, First Turkish World Mathematics Symposium, Elazığ (1999).
[4]  Numerical solution of the Hoffman Problem, First Turkish World Mathematics Symposium, Elazığ (1999).
[5]  Numerical solution of 1-D Stefan problem with a Neumann type boundary condition using Enthalpy method,14th National Mathematics Symposium, Eskişehir, 2001.
[6]  Quadratic B-Spline finite element solution of a linearized Burgers equation,14th National Mathematics Symposium, Eskişehir, 2001.
[7]  Numerical solution of the RLW equation by a lumped Galerkin method, 17th National Mathematics Symposium, Bolu, 2004.
[8]  Numerical solution of the EW equation by a linearized finite-difference method, 19th National Mathematics Symposium, Kütahya, 2006.
[9]  Numerical solution of the EW equation by the septic B-spline collocation method, 19th National Mathematics Symposium, Kütahya, 2006.