- 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,20(2)(2010) 174-185__International Journal of Numerical Methods for Heat & Fluid Flow__, - 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,
58 (2009) 2142-2146__Computers & Mathematics with Applications,__ - 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,
, 70(6)(2009) 2480-2484__Nonlinear Analysis Series A: Theory, Methods & Applications__ - T.Öziş, A.Yıldırım, Generating the periodic solutions for forcing van der Pol oscillators by the Iteration Perturbation method,
10(2009)1984-1989,__Nonlinear Analysis Series B: Real World Applications__, - 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]” ,
373 (2009) 1198–1200__Physics Letters A,__ - 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,
, 372(2008)3836-3840__Physics Letters A__ - T.Öziş, D. Ağırseven, He’s homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients,
372 (2008) 5944–5950__Physics Letters A,__ - T.Öziş, İsmail Aslan, Exact and explicit solutions to the (3 +1)-dimensional Jimbo–Miwa equation via the Exp-function method, ,
372 (2008) 7011–7015__Physics Letters A,__ - T.Öziş, A.Yıldırım, Comparison between Adomian’s method and He’s homotopy perturbation method,
Volume56(5) (2008) 1216-1224,__Computers & Mathematics with Applications__, - T.Öziş,A.Yıldırım, Determination of limit cycles by iterated homotopy perturbation method for nonlinear oscillators with strong nonlinearity,
, 31(2) (2008) 349-357__Topological Methods in Nonlinear Analysis__ - T. Öziş, A. Yıldırım, Reliable analysis for obtaining exact soliton solutions of nonlinear Schrödinger (NLS) equation,
, 38(1)(2008) 209-212__Chaos,Solitons & Fractals__ - T.Öziş, A.Yıldırım,A note on He’s homotopy perturbation method for van der Pol oscillator with very strong nonlinearity,
,34(3) (2007) 989-991__Chaos,Solitons & Fractals__ - T.Öziş, A.Yıldırım,Determination of limit cycles by modified straightforward expansion for nonlinear oscillators,
__Chaos,Solitons & Fractals__ - T.Öziş, A.Yıldırım,An application of He’s Semi-Inverse Method to the Nonlinear Schrödinger (NLS) Equation,
, 54(7-8)(2007)1039-1042__Computers & Mathematics with Applications__ - T.Öziş, A.Yıldırım, Determination of frequency-amplitude relation for Duffing-Harmonic Oscillator by the Energy Balance Method,
, 54(7-8)(2007) 1184-1187__Computers & Mathematics with Applications__ - T.Öziş, A.Yıldırım, Determination of Periodic Solution for a u1/3 Force by He’s Modified Lindstedt-Poincaré Method,
,301[1-2) (2007)415-419__Journal of Sound and Vibration__ - T.Öziş, A.Yıldırım,Traveling Wave Solution of Korteweg-de Vries Equation using He’s Homotopy Perturbation Method,
,8(2)(2007) 239-242__International Journal of Nonlinear Sciences and Numerical Simulation__ - T.Öziş, A.Yıldırım,A Comparative Study of He’s Homotopy Perturbation Method for Determining Frequency-amplitude Relation of a Nonlinear Oscillator with Discontinuities,
,8(2)(2007)243-248__International Journal of Nonlinear Sciences and Numerical Simulation__ - A.Yıldırım, T.Öziş,Solutions of Singular IVPs of Lane-Emden type by Homotopy Perturbation Method,
, 369(1-2)(2007) 70-76,__Physics Letters A__ - T.Öziş, A.Yıldırım,A study of nonlinear oscillators with u1/3 force by He’s Variational Iteration Method,
,306(1-2)(2007) 372-376__Journal of Sound and Vibration__ - 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