Selected Publications

  • Zehra Pınar, Turgut Ozis, Classical symmetry analysis and exact solutions for generalized Korteweg–de Vries models with variable coefficients, International Journal of Non-Linear Mechanics 105 (2018) 99–104
  • Seda Gulen and Turgut Ozis, Compact finite difference schemes for soybeanhydration model as Stefan problem, NTMSCI 6, No. 2, 184-199 (2018)
  • Zehra PINAR, Turgut ÖZİŞ, A note for finding exact solutions of some nonlinear differential equations, Sigma J Eng & Nat Sci 36 (2), 2018, 433-440
  • Seda GÜLEN and Turgut ÖZIŞ, Solution of Hsu model by Crank-Nicolson method and Splitting technique, Bulletin of the International Mathematical Virtual Institute, 8(2018), 431-437
  • Abhishek Dutta, Zehra Pınar, Denis Constales, Turgut Öziş, Population Balances Involving Aggregation and Breakage Through Homotopy Approaches, International Journal of Chemical Reactor Engineering. 2018; 20170153
  • Turgut Öziş, İsmail Aslan, Similarity solutions to Burgers’ equation in terms of special functions of mathematical physics, ACTA PHYSICA POLONICA B, 48(7) (2017) 1349- 1369
  • Mukaddes ÖKTEN TURACI, Turgut Öziş, Derivation of three-derivative Runge-Kutta methods, Numer. Algor., 74(2017) 247- 265
  • Seda Gülen and Turgut Öziş, Investigation of compact finite difference solutions of Stefan problem with different boundary conditions, Advances in Mathematics: Scientific Journal, 5 (2016) no2, 167-177
  • Seda GÜLEN and Turgut ÖZIŞ, Fourth order compact finite difference scheme for soybean hydration model with moving boundary, Bulletin of the International Mathematical Virtual Institute, 6(2016) 227-239
  • M. Seydaoğlu, U. Erdoğan, T. Öziş, Numerical solution of Burgers’ equation with high order splitting methods, Journal of Computational and Applied Mathematics, 291 (2016) 410–421
  • Mukaddes ÖKTEN TURACI  and Turgut ÖZİŞ, A note on explicit three-derivative runge-kutta methods (ThDRK), Bulletin of the International Mathematical Virtual Institute, 5(2015) 65-72
  • Zehra Pinar, Turgut Öziş, Observations on the class of ‘‘Balancing Principle’’ for nonlinear PDEs that can be treated by the auxiliary equation method, Nonlinear Analysis: Real World applications 23(2015) 9-16
  • Zehra Pinar, Abhishek Dutta, Guido Bény and Turgut Öziş, Analytical solution of population balance equation involving growth, nucleation and aggregation in terms of auxiliary equation method, Appl. Math. Inf. Sci., 9, No. 5, 2467-2475 (2015)
  • Zehra Pinar, Abhishek Dutta, Guido Bény and Turgut Öziş¸ Analytical solution of population balance equation involving aggregation and breakage in terms of auxiliary equation method, PRAMANA- journal of Physics,84(1) (2015) 9-21
  • Polat, T. Ozis, Expanded Lie Group transformation and similarity reductions for the celebrity Black-Scholes equation in finance, Applied and Computational Mathematics: An International Journal 10(1) (2014) 71-77
  • Zehra Pınar, Turgut Öziş, The Periodic Solutions to Kawahara Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term, Journal of Mathematics, (2013) http://dx.doi.org/10.1155/2013/106349
  • Pınar, Z.  Ozis, T. An observation on the periodic solutions to nonlinear physical models by means of the auxiliary equation with a sixth-degree nonlinear term. Commun Nonlinear Sci Numer Simulat  18, (2013)2177-2187,
  • Canan Köroglu, Turgut Öziş, Applications of Parameter-Expanding Method to Nonlinear Oscillators in which the Restoring Force is Inversely Proportional to the Dependent Variable or in Form of Rational Function of Dependent Variable, CMES: Computer Modelling in Engineering & Sciences, 75 (4) (2011) 223-234.
  • Erdogan Utku, Özis Turgut, A smart nonstandard finite difference scheme for second order nonlinear boundary value problems, Journal of Computational Physics, 230(17)(2011) 6464-6474,
  • Kemal Altıparmak, Turgut Öziş,  Numerical solution of Burgers’ equation with Factorized Diagonal Padé Approximation, International Journal of Numerical Methods for Heat and Fluid Flow 21(3) (2011) 310-319
  • Turgut Öziş, Ceren Akçı, Periodic solutions for certain non-smooth oscillators by iterated homotopy perturbation method combined with modified Lindstedt-Poincare technique, Meccanica  (2011) 46: 341–347
  • Deniz Agirseven, Turgut Öziş, An analytical study for Fisher type equations by using homotopy perturbation method, , Computers & Mathematics with Applications, (2010) doi: 10.1016/ j.camwa.2010.05.006
  • Turgut Öziş, İsmail Aslan, Application of the-expansion method to Kawahara type equations using symbolic computation, Applied Mathematics and Computation,216 (2010) 2360-2365
  • H.Koçak,T.Öziş,A.Yıldırım, Homotopy perturbation method for the nonlinear dispersive K(m,n,1) equations with fractional time derivatives, International Journal of Numerical Methods for Heat & Fluid Flow, 20(2)(2010) 174-185
  • Şerife Faydaoğlu, Turgut Öziş, The Modified Decomposition Method for the Boussinesq Equation, WASJ,7(5)(2009)
  • Deniz Ağırseven, Turgut Öziş, He’s homotopy perturbation method for a general Riccati equation, International Journal of Modern Physics B  23(30)(2009)5683-5693   
  • Turgut Öziş,Utku Erdoğan, An exponentially fitted method for solving Burgers’ equation, Int. J. Numer. Meth. Engng 79 (2009) 696-705
  • Canan Köroğlu , Turgut Öziş, A novel traveling wave solution for Ostrovsky equation using Exp-function method, Computers & Mathematics with Applications, 58 (2009) 2142-2146
  • İ. Aslan, T. Öziş, On the validity and reliability of the (G’/G)-expansion method by using higher-order nonlinear equations, Applied Mathematics and Computation, 211 (2009)531-53
  • Turgut Öziş, İsmail Aslan, Symbolic computations and exact and explicit solutions of some nonlinear evolution equations in mathematical physics, Commun. Theor. Phys. 51(2009) 577-580
  • Ismail Aslan, Turgut Özis, Analytic study on two nonlinear evolution equations by using the (G’/G)-expansion method, Applied Mathematics and Computation,209 (2009) 425–429
  • Turgut Öziş, İsmail Aslan, Symbolic computations and construction of new exact traveling wave solutions to Fitzhugh-Nagumo and Klein-Gordon equations, Z. Naturforsch 64a(2009)1-6
  • A.Yıldırım, T.Öziş, Solutions of Singular IVPs of Lane-Emden type by the variational iteration method, Nonlinear Analysis Series A: Theory, Methods & Applications , 70(6)(2009) 2480-2484
  • T.Öziş, A.Yıldırım, Generating the periodic solutions for forcing van der Pol oscillators by the Iteration Perturbation method, Nonlinear Analysis Series B: Real World Applications, 10(2009)1984-1989,
  • T. Öziş, C. Köroğlu, Reply to: “Comment on: ‘A novel approach for solving the Fisher equation using Exp-function method’ [Phys. Lett. A 372 (2008) 3836]” , Physics Letters A, 373 (2009) 1198–1200
  • D. Ağırseven, T. Öziş,  He’s homotopy perturbation method for fourth-order parabolic equations, International Journal of Computer Mathematics,(2009) DOI: 10.1080/00207160802395593
  • V. Gulkac, T. Ozis, A numerical application of the semi-implicit pseudo-spectral method for the Korteweg-de Vries Equation, Ozean Journal of Applied Sciences 2(1)(2009) 25-31
  • T. Öziş, C. Köroğlu, Anovel approach for solving the Fisher equation using Exp-function method, Physics Letters A, 372(2008)3836-3840
  • T.Öziş, D. Ağırseven, He’s homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients, Physics Letters A, 372 (2008) 5944–5950
  • T.Öziş, İsmail Aslan,  Exact and explicit solutions to the (3 +1)-dimensional Jimbo–Miwa equation  via the Exp-function method, , Physics Letters A,372 (2008) 7011–7015
  • T.Öziş, A.Yıldırım, Comparison between Adomian’s method and He’s homotopy perturbation method, Computers & Mathematics with Applications, Volume56(5) (2008) 1216-1224,
  • T.Öziş,A.Yıldırım, Determination of limit cycles by iterated homotopy perturbation method for nonlinear oscillators with strong nonlinearity, Topological Methods in Nonlinear Analysis , 31(2) (2008) 349-357
  • T. Öziş, A. Yıldırım, Reliable analysis for obtaining exact soliton solutions of nonlinear Schrödinger (NLS) equation, Chaos,Solitons & Fractals, 38(1)(2008) 209-212
  • T.Öziş, A.Yıldırım,A note on He’s homotopy perturbation method for van der Pol oscillator with very strong nonlinearity, Chaos,Solitons & Fractals,34(3) (2007) 989-991
  • T.Öziş, A.Yıldırım,Determination of limit cycles by modified straightforward expansion for nonlinear oscillators, Chaos,Solitons & Fractals,32(2)(2007) 445-448
  • T.Öziş, A.Yıldırım,An application of He’s Semi-Inverse Method to the Nonlinear Schrödinger (NLS) Equation, Computers & Mathematics with Applications, 54(7-8)(2007)1039-1042
  • T.Öziş, A.Yıldırım, Determination of frequency-amplitude relation for Duffing-Harmonic Oscillator by the Energy Balance Method,Computers & Mathematics with Applications, 54(7-8)(2007) 1184-1187
  • T.Öziş, A.Yıldırım, Determination of Periodic Solution for a u1/3  Force by He’s Modified Lindstedt-Poincaré Method, Journal of Sound and Vibration,301[1-2) (2007)415-419
  • T.Öziş, A.Yıldırım,Traveling Wave Solution of Korteweg-de Vries Equation using He’s Homotopy Perturbation Method, International Journal of Nonlinear Sciences and Numerical Simulation,8(2)(2007) 239-242
  • T.Öziş, A.Yıldırım,A Comparative Study of He’s Homotopy Perturbation Method for Determining Frequency-amplitude Relation of a Nonlinear Oscillator with Discontinuities, International Journal of Nonlinear Sciences and Numerical Simulation,8(2)(2007)243-248
  • A.Yıldırım, T.Öziş,Solutions of Singular IVPs of Lane-Emden type by Homotopy Perturbation Method,Physics Letters A, 369(1-2)(2007) 70-76,
  • T.Öziş, A.Yıldırım,A study of nonlinear oscillators with u1/3 force by He’s Variational Iteration Method, Journal of Sound and Vibration,306(1-2)(2007) 372-376
  • E.N. Aksan, A. Özdeş, T. Öziş, A numerical solution of Burgers’ equation based on least squares approximation, Applied Mathematics and Computation,176 (2006) 270- 279
  • T. Öziş, S. Özer, A simple similarity transformation-iterative scheme appled to Koteweg-de Vries equation, Applied Mathematics and Computation,,173 (2006) 19- 32
  • Gülsu, M. Öziş,T., Numerical solution of Burgers’equation with restrictive Taylor approximation, Applied Mathematics and Computation,171 (2005) 1192-1200
  • T.Öziş, A. Esen and S. Kutluay,  Numerical solution of Burgers’ equation by quadratic B-spline finite-elements, Applied Mathematics and Computation,165 (2005) 237- 249
  • T. Öziş, Y. Aslan, The semi-approximate approach for solving Burger’s equation with high Reynolds number, Applied Mathematics and Computation,163 (2005) 131-145
  • V.Gülkaç, T.Öziş, On a LOD method for solution of two dimensional fusion problem with convective boundary conditions, Int. Comm. Heat Mass Transfer, 31 (2004) 597-606
  • T.Öziş, E.N. Aksan and A. Özdeş, A finite element approach for solution of Burger’s equation, Applied Mathematics and Computation,139 (2003) 417-428
  • T. Öziş, V. Gülkaç, Application of variable interchange method for solution of two-dimensional fusion problem with convective boundary conditions, Numerical Heat Transfer, Part A, 44 (2003) 85-95
  • V. Gülkaç, T. Öziş, Treatment of two-dimensional moving boundary problem by Boadway transformation, Bull. Calcutta Math. Soc.,88 (1996), 253-260
  • T.Öziş, A. Özdeş, A direct variational methods applied to Burger’s equation, J. Comput. Appl. Math.,71 (1996) 163-175
  • T. Öziş, The extention of Picard’s successive approximation for construction two-side bounds for the solutions of differential equations, J. Comput. Appl. Math. , 39 (1992) 7-14
  • T. Öziş, An efficient approach to the solution of the two-dimensional electrochemical machining problem, J. Comput. Appl. Math., 36 (1991) 239-246
  • T.Öziş, On the existence and uniqueness of a weak solution of a non-steady transient free-boundary problem in porous media, J. Comput.  Appl. Math.,34 (1991) 33-39
  • T. Öziş, The extension of Boadway’s transformation technique to two or more dimensional moving boundary problems, Int. J. Heat Mass Transfer, 34 (1991) 1897-1901
  • T. Öziş, A novel variation of the coordinate transformation method with perturbation technique for diffusion-controlled moving boundary problems, J. Comput. Appl. Math.,25 (1989) 225-235
  • J. Crank and T. Öziş, Solution of three dimensional free boundary problems by variable interchange, TR/03/81, Brunel University, Uxbridge, Middlesex, U.K.
  • J. Crank and T. Öziş, Numerical solution of a free boundary problem by interchanging dependent and independent variables, J. Inst. Maths  Applics, 26 (1980) 77- 85