## Kaya, Doǧan

Compute Distance To:
 Author ID: kaya.dogan Published as: Kaya, Doǧan; Kaya, Doğan; Kaya, Dogan; Kaya, D.; Kaya, Dogǧan; Kaya, Dogǎn more...less
 Documents Indexed: 80 Publications since 1995 Co-Authors: 16 Co-Authors with 47 Joint Publications 286 Co-Co-Authors
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### Co-Authors

 25 single-authored 16 El-Sayed, Salah M. 8 Inan, Ibrahim E. 6 Yokus, Asif 5 Ugurlu, Yavuz 3 Al-Khaled, Kamel M. 3 Polat, Necat 2 Aassila, Mohammed 2 Bulut, Hasan 2 Geyikli, Turabi 2 Noor, Muhammad Aslam 2 Shawagfeh, Nabil T. 2 Wright, Ken 1 Al-Said, Eisa A. 1 Gülbahar, Mehmet 1 Gülbahar, Sema 1 Inc, Mustafa 1 Iskandarova, Gulistan 1 Iskenderoglu, Gulistan 1 Zarea, Sana’a A.
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### Serials

 36 Applied Mathematics and Computation 10 Physics Letters. A 4 Computers & Mathematics with Applications 3 Bulletin of the Institute of Mathematics. Academia Sinica 3 International Journal of Computer Mathematics 2 Chaos, Solitons and Fractals 2 Bulletin of the Malaysian Mathematical Society. Second Series 2 Physica Scripta 1 International Journal of Modern Physics B 1 Journal of Mathematical Analysis and Applications 1 Hadronic Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics and Computers in Simulation 1 Applied Mathematics Letters 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Voprosy Vychislitel’noĭ i Prikladnoĭ Matematiki 1 Turkish Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 Journal of Nonlinear Science and Applications 1 Contemporary Analysis and Applied Mathematics
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### Fields

 62 Partial differential equations (35-XX) 54 Numerical analysis (65-XX) 5 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 3 Fluid mechanics (76-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

70 Publications have been cited 963 times in 636 Documents Cited by Year
An application of the decomposition method for the generalized KdV and RLW equations. Zbl 1030.35139
Kaya, Doǧan; El-Sayed, Salah M.
2003
A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation. Zbl 1038.65101
Kaya, Doǧan
2004
An explicit and numerical solutions of some fifth-order KdV equation by decomposition method. Zbl 1024.65096
Kaya, Doǧan
2003
A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations. Zbl 1007.65078
Kaya, Doǧan; Yokus, Asif
2002
An explicit solution of coupled viscous Burgers’ equation by the decomposition method. Zbl 0997.35077
Kaya, Doğan
2001
On the solution of a Korteweg-de Vries like equation by the decomposition method. Zbl 0948.65104
Kaya, D.
1999
An application for a generalized KdV equation by the decomposition method. Zbl 0996.35061
Kaya, Dogan; Aassila, Mohammed
2002
A numerical simulation and explicit solutions of the generalized Burgers–Fisher equation. Zbl 1052.65098
Kaya, Doǧan; El-Sayed, Salah M.
2004
A numerical solution of the sine-Gordon equation using the modified decomposition method. Zbl 1022.65114
Kaya, Doǧan
2003
On the solution of the coupled Schrödinger-KdV equation by the decomposition method. Zbl 1040.35099
Kaya, Doǧan; El-Sayed, Salah M.
2003
An application of the decomposition method for second order wave equations. Zbl 0964.65113
Kaya, D.
2000
A numerical solution of the Klein-Gordon equation and convergence of the decomposition method. Zbl 1084.65101
Kaya, Doǧan; El-Sayed, Salah M.
2004
Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation. Zbl 1037.35069
Kaya, Doǧan
2004
An application of the ADM to seven-order Sawada–Kotara equations. Zbl 1061.65100
El-Sayed, Salah M.; Kaya, Doǧan
2004
On a generalized fifth order KdV equation. Zbl 1011.35114
Kaya, Doǧan; El-Sayed, Salah M.
2003
Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation. Zbl 1048.65096
Kaya, Doǧan; Inan, Ibrahim E.
2004
Comparing numerical methods for the solutions of systems of ordinary differential equations. Zbl 1061.65062
Shawagfeh, N.; Kaya, D.
2004
On the numerical solution of the system of two-dimensional Burgers’ equations by the decomposition method. Zbl 1061.65099
El-Sayed, Salah M.; Kaya, Doǧan
2004
Explicit solutions of generalized nonlinear Boussinesq equations. Zbl 0976.35066
Kaya, Doǧan
2001
An application of the decomposition method for the KdVB equation. Zbl 1053.65087
Kaya, Doǧan
2004
A convergence analysis of the ADM and an application. Zbl 1068.65119
Kaya, Doǧan; Inan, Ibrahim E.
2005
Numerical and exact solutions for time fractional Burgers’ equation. Zbl 1412.65098
Yokuş, Asıf; Kaya, Doğan
2017
A numerical application of the decomposition method for the combined KdV-MKdV equation. Zbl 1080.65100
Kaya, Doǧan; Inan, Ibrahim E.
2005
Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations. Zbl 1082.65580
El-Sayed, Salah M.; Kaya, Doǧan
2005
Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method. Zbl 1065.35219
Kaya, Doǧan; El-Sayed, Salah M.
2003
A numerical solution and an exact explicit solution of the NLS equation. Zbl 1088.65088
El-Sayed, Salah M.; Kaya, Doǧan
2006
Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations. Zbl 1387.35527
Inan, Ibrahim E.; Kaya, Dogan
2006
A numerical comparison of a Kawahara equation. Zbl 1197.65201
Kaya, Doǧan; Al-Khaled, Kamel
2007
A new approach to the telegraph equation: An application of the decomposition method. Zbl 0958.35006
Kaya, D.
2000
The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations. Zbl 1401.65149
El-Sayed, Salah M.; Kaya, Dogan; Zarea, S.
2004
A numerical method for solving Jaulent-Miodek equation. Zbl 1045.35065
Kaya, Doǧan; El-Sayed, Salah M.
2003
Finite difference method for solving fourth-order obstacle problems. Zbl 1060.65077
Al-Said, Eisa A; Noor, Muhammad Aslam; Kaya, Dogan; Al-Khaled, Kamel
2004
An application for the higher order modified KdV equation by decomposition method. Zbl 1070.35061
Kaya, Doǧan
2005
Comparing numerical methods for Helmholtz equation model problem. Zbl 1051.65113
El-Sayed, Salah M.; Kaya, Doǧan
2004
The decomposition method for solving (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation. Zbl 1058.65111
El-Sayed, Salah M.; Kaya, Doǧan
2004
Adomian’s decomposition method applied to systems of nonlinear algebraic equations. Zbl 1058.65056
Kaya, Doğan; El-Sayed, Salah M.
2004
An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method. Zbl 1104.65098
Polat, Necat; Kaya, Dogǧan; Tutalar, H. Ilhan
2006
An application for a modified KdV equation by the decomposition method and finite element method. Zbl 1082.65575
Geyikli, Turabi; Kaya, Doǧan
2005
A numerical implementation of the decomposition method for the Lienard equation. Zbl 1091.65071
Kaya, Doğan; El-Sayed, Salah M.
2005
Numerical comparison of methods for solving parabolic equations. Zbl 1061.65098
Al-Khaled, Kamel; Kaya, Dogan; Aslam Noor, Muhammad
2004
A new approach to solve a nonlinear wave equation. Zbl 1006.65110
Kaya, D.
1998
Analytic method for solitary solutions of some partial differential equations. Zbl 1209.81110
Uğurlu, Yavuz; Kaya, Doğan
2007
The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation. Zbl 1195.35264
Kaya, Doğan
2006
The use of Adomian decomposition method for solving a specific nonlinear partial differential equation. Zbl 1038.35093
Kaya, Doğan
2002
Exact and numerical solutions of generalized Drinfeld-Sokolov equations. Zbl 1220.74027
Ugurlu, Yavuz; Kaya, Dogan
2008
A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations. Zbl 1070.65102
Kaya, Doǧan; Yokus, Asif
2005
Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions. Zbl 1445.65033
Kaya, Doğan; Gülbahar, Sema; Yokuş, Asıf; Gülbahar, Mehmet
2018
Parallel algorithms for linear algebra on a shared memory multiprocessor. Zbl 0844.65018
Wright, K.; Kaya, D.
1995
Series solution to the Pochhammer-Chree equation and comparison with exact solutions. Zbl 1060.74032
Shawagfeh, N.; Kaya, D.
2004
Comparison of the solutions obtained by B-spline FEM and ADM of KdV equation. Zbl 1121.65353
Geyikli, Turabi; Kaya, Doğan
2005
Auto-Bäcklund transformation and similarity reductions for coupled Burger’s equation. Zbl 1196.37112
Inan, Ibrahim E.; Kaya, Doğan; Ugurlu, Yavuz
2010
A reliable method for the numerical solution of the kinetics problems. Zbl 1057.65042
Kaya, Doǧan
2004
On local solutions of a middly degenerate hyperbolic equation. Zbl 0936.35112
Aassila, Mohammed; Kaya, Dogan
1999
An application of the modified decomposition method for two dimensional sine-Gordon equation. Zbl 1060.65113
Kaya, Doǧan
2004
Solutions of the Cahn-Hilliard equation. Zbl 1165.35451
Ugurlu, Yavuz; Kaya, Doğan
2008
Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense. Zbl 1483.35319
Iskenderoglu, Gulistan; Kaya, Dogan
2020
An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method. Zbl 1148.65083
Polat, Necat; Kaya, Dogǎn; Tutalar, H. Ilhan
2006
An application of the decomposition method for the two-dimensional KdV-Burgers equation. Zbl 1068.35132
Kaya, D.
2004
An implementation of the ADM for generalized one-dimensional Klein-Gordon equation. Zbl 1074.65118
Kaya, Doǧan
2005
Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics. Zbl 1454.35329
Yokuş, Asıf; Kaya, Doğan
2020
Numerical study of a Klein-Gordon equation by the Adomian’s decomposition method. Zbl 1080.65099
Kaya, D.; Bulut, H.; Inc, M.
2005
The decomposition method for approximate solution of the Cauchy problem. Zbl 0954.35100
Kaya, D.; Inc, M.
1999
Blow up of solutions for a class of nonlinear wave equations. Zbl 1383.35117
Polat, Necat; Kaya, Doğan; Tutalar, H. Ilhan
2004
A numerical comparison for coupled Boussinesq equations by using the ADM. Zbl 1339.35276
Yokus, Asif; Kaya, Dogan
2004
A review of the semi-analytic/numerical methods for higher order nonlinear partial equations. Zbl 1351.35173
Kaya, Doğan
2015
On the solution of the nonlinear wave equation by the decomposition method. Zbl 1006.65111
Kaya, D.; Inc, M.
1999
Exact and numerical soliton solutions of some nonlinear physical models. Zbl 1288.76061
Kaya, Doǧan
2004
Parallel algorithms for $$LU$$ decomposition on a shared memory multiprocessor. Zbl 1060.65579
Kaya, Dogan; Wright, Ken
2005
Parallel algorithms for reduction of a general matrix to upper Hessenberg form on a shared memory multiprocessor. Zbl 1070.65029
Kaya, D.; Wright, K.
2005
Lie group analysis for initial and boundary value problem of time-fractional nonlinear generalized KdV partial differential equation. Zbl 1447.35019
Kaya, Doğan; Iskandarova, Gulistan
2019
Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense. Zbl 1483.35319
Iskenderoglu, Gulistan; Kaya, Dogan
2020
Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics. Zbl 1454.35329
Yokuş, Asıf; Kaya, Doğan
2020
Lie group analysis for initial and boundary value problem of time-fractional nonlinear generalized KdV partial differential equation. Zbl 1447.35019
Kaya, Doğan; Iskandarova, Gulistan
2019
Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions. Zbl 1445.65033
Kaya, Doğan; Gülbahar, Sema; Yokuş, Asıf; Gülbahar, Mehmet
2018
Numerical and exact solutions for time fractional Burgers’ equation. Zbl 1412.65098
Yokuş, Asıf; Kaya, Doğan
2017
A review of the semi-analytic/numerical methods for higher order nonlinear partial equations. Zbl 1351.35173
Kaya, Doğan
2015
Auto-Bäcklund transformation and similarity reductions for coupled Burger’s equation. Zbl 1196.37112
Inan, Ibrahim E.; Kaya, Doğan; Ugurlu, Yavuz
2010
Exact and numerical solutions of generalized Drinfeld-Sokolov equations. Zbl 1220.74027
Ugurlu, Yavuz; Kaya, Dogan
2008
Solutions of the Cahn-Hilliard equation. Zbl 1165.35451
Ugurlu, Yavuz; Kaya, Doğan
2008
A numerical comparison of a Kawahara equation. Zbl 1197.65201
Kaya, Doǧan; Al-Khaled, Kamel
2007
Analytic method for solitary solutions of some partial differential equations. Zbl 1209.81110
Uğurlu, Yavuz; Kaya, Doğan
2007
A numerical solution and an exact explicit solution of the NLS equation. Zbl 1088.65088
El-Sayed, Salah M.; Kaya, Doǧan
2006
Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations. Zbl 1387.35527
Inan, Ibrahim E.; Kaya, Dogan
2006
An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method. Zbl 1104.65098
Polat, Necat; Kaya, Dogǧan; Tutalar, H. Ilhan
2006
The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation. Zbl 1195.35264
Kaya, Doğan
2006
An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method. Zbl 1148.65083
Polat, Necat; Kaya, Dogǎn; Tutalar, H. Ilhan
2006
A convergence analysis of the ADM and an application. Zbl 1068.65119
Kaya, Doǧan; Inan, Ibrahim E.
2005
A numerical application of the decomposition method for the combined KdV-MKdV equation. Zbl 1080.65100
Kaya, Doǧan; Inan, Ibrahim E.
2005
Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations. Zbl 1082.65580
El-Sayed, Salah M.; Kaya, Doǧan
2005
An application for the higher order modified KdV equation by decomposition method. Zbl 1070.35061
Kaya, Doǧan
2005
An application for a modified KdV equation by the decomposition method and finite element method. Zbl 1082.65575
Geyikli, Turabi; Kaya, Doǧan
2005
A numerical implementation of the decomposition method for the Lienard equation. Zbl 1091.65071
Kaya, Doğan; El-Sayed, Salah M.
2005
A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations. Zbl 1070.65102
Kaya, Doǧan; Yokus, Asif
2005
Comparison of the solutions obtained by B-spline FEM and ADM of KdV equation. Zbl 1121.65353
Geyikli, Turabi; Kaya, Doğan
2005
An implementation of the ADM for generalized one-dimensional Klein-Gordon equation. Zbl 1074.65118
Kaya, Doǧan
2005
Numerical study of a Klein-Gordon equation by the Adomian’s decomposition method. Zbl 1080.65099
Kaya, D.; Bulut, H.; Inc, M.
2005
Parallel algorithms for $$LU$$ decomposition on a shared memory multiprocessor. Zbl 1060.65579
Kaya, Dogan; Wright, Ken
2005
Parallel algorithms for reduction of a general matrix to upper Hessenberg form on a shared memory multiprocessor. Zbl 1070.65029
Kaya, D.; Wright, K.
2005
A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation. Zbl 1038.65101
Kaya, Doǧan
2004
A numerical simulation and explicit solutions of the generalized Burgers–Fisher equation. Zbl 1052.65098
Kaya, Doǧan; El-Sayed, Salah M.
2004
A numerical solution of the Klein-Gordon equation and convergence of the decomposition method. Zbl 1084.65101
Kaya, Doǧan; El-Sayed, Salah M.
2004
Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation. Zbl 1037.35069
Kaya, Doǧan
2004
An application of the ADM to seven-order Sawada–Kotara equations. Zbl 1061.65100
El-Sayed, Salah M.; Kaya, Doǧan
2004
Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation. Zbl 1048.65096
Kaya, Doǧan; Inan, Ibrahim E.
2004
Comparing numerical methods for the solutions of systems of ordinary differential equations. Zbl 1061.65062
Shawagfeh, N.; Kaya, D.
2004
On the numerical solution of the system of two-dimensional Burgers’ equations by the decomposition method. Zbl 1061.65099
El-Sayed, Salah M.; Kaya, Doǧan
2004
An application of the decomposition method for the KdVB equation. Zbl 1053.65087
Kaya, Doǧan
2004
The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations. Zbl 1401.65149
El-Sayed, Salah M.; Kaya, Dogan; Zarea, S.
2004
Finite difference method for solving fourth-order obstacle problems. Zbl 1060.65077
Al-Said, Eisa A; Noor, Muhammad Aslam; Kaya, Dogan; Al-Khaled, Kamel
2004
Comparing numerical methods for Helmholtz equation model problem. Zbl 1051.65113
El-Sayed, Salah M.; Kaya, Doǧan
2004
The decomposition method for solving (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation. Zbl 1058.65111
El-Sayed, Salah M.; Kaya, Doǧan
2004
Adomian’s decomposition method applied to systems of nonlinear algebraic equations. Zbl 1058.65056
Kaya, Doğan; El-Sayed, Salah M.
2004
Numerical comparison of methods for solving parabolic equations. Zbl 1061.65098
Al-Khaled, Kamel; Kaya, Dogan; Aslam Noor, Muhammad
2004
Series solution to the Pochhammer-Chree equation and comparison with exact solutions. Zbl 1060.74032
Shawagfeh, N.; Kaya, D.
2004
A reliable method for the numerical solution of the kinetics problems. Zbl 1057.65042
Kaya, Doǧan
2004
An application of the modified decomposition method for two dimensional sine-Gordon equation. Zbl 1060.65113
Kaya, Doǧan
2004
An application of the decomposition method for the two-dimensional KdV-Burgers equation. Zbl 1068.35132
Kaya, D.
2004
Blow up of solutions for a class of nonlinear wave equations. Zbl 1383.35117
Polat, Necat; Kaya, Doğan; Tutalar, H. Ilhan
2004
A numerical comparison for coupled Boussinesq equations by using the ADM. Zbl 1339.35276
Yokus, Asif; Kaya, Dogan
2004
Exact and numerical soliton solutions of some nonlinear physical models. Zbl 1288.76061
Kaya, Doǧan
2004
An application of the decomposition method for the generalized KdV and RLW equations. Zbl 1030.35139
Kaya, Doǧan; El-Sayed, Salah M.
2003
An explicit and numerical solutions of some fifth-order KdV equation by decomposition method. Zbl 1024.65096
Kaya, Doǧan
2003
A numerical solution of the sine-Gordon equation using the modified decomposition method. Zbl 1022.65114
Kaya, Doǧan
2003
On the solution of the coupled Schrödinger-KdV equation by the decomposition method. Zbl 1040.35099
Kaya, Doǧan; El-Sayed, Salah M.
2003
On a generalized fifth order KdV equation. Zbl 1011.35114
Kaya, Doǧan; El-Sayed, Salah M.
2003
Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method. Zbl 1065.35219
Kaya, Doǧan; El-Sayed, Salah M.
2003
A numerical method for solving Jaulent-Miodek equation. Zbl 1045.35065
Kaya, Doǧan; El-Sayed, Salah M.
2003
A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations. Zbl 1007.65078
Kaya, Doǧan; Yokus, Asif
2002
An application for a generalized KdV equation by the decomposition method. Zbl 0996.35061
Kaya, Dogan; Aassila, Mohammed
2002
The use of Adomian decomposition method for solving a specific nonlinear partial differential equation. Zbl 1038.35093
Kaya, Doğan
2002
An explicit solution of coupled viscous Burgers’ equation by the decomposition method. Zbl 0997.35077
Kaya, Doğan
2001
Explicit solutions of generalized nonlinear Boussinesq equations. Zbl 0976.35066
Kaya, Doǧan
2001
An application of the decomposition method for second order wave equations. Zbl 0964.65113
Kaya, D.
2000
A new approach to the telegraph equation: An application of the decomposition method. Zbl 0958.35006
Kaya, D.
2000
On the solution of a Korteweg-de Vries like equation by the decomposition method. Zbl 0948.65104
Kaya, D.
1999
On local solutions of a middly degenerate hyperbolic equation. Zbl 0936.35112
Aassila, Mohammed; Kaya, Dogan
1999
The decomposition method for approximate solution of the Cauchy problem. Zbl 0954.35100
Kaya, D.; Inc, M.
1999
On the solution of the nonlinear wave equation by the decomposition method. Zbl 1006.65111
Kaya, D.; Inc, M.
1999
A new approach to solve a nonlinear wave equation. Zbl 1006.65110
Kaya, D.
1998
Parallel algorithms for linear algebra on a shared memory multiprocessor. Zbl 0844.65018
Wright, K.; Kaya, D.
1995
all top 5