Ugurlu, Yavuz; Kaya, Dogan Exact and numerical solutions of generalized Drinfeld-Sokolov equations. (English) Zbl 1220.74027 Phys. Lett., A 372, No. 16, 2867-2873 (2008). MSC: 74J30 74S30 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; Al-Khaled, Kamel A numerical comparison of a Kawahara equation. (English) Zbl 1197.65201 Phys. Lett., A 363, No. 5-6, 433-439 (2007). MSC: 65N99 35Q53 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doğan The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation. (English) Zbl 1195.35264 Phys. Lett., A 348, No. 3-6, 244-250 (2006). MSC: 35Q53 35C10 35Q51 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Polat, Necat; Kaya, Dogǎn; Tutalar, H. Ilhan An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method. (English) Zbl 1148.65083 Appl. Math. Comput. 181, No. 1, 193-199 (2006). MSC: 65M70 65M12 35Q74 65G20 × Cite Format Result Cite Review PDF Full Text: DOI
Polat, Necat; Kaya, Dogǧan; Tutalar, H. Ilhan An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method. (English) Zbl 1104.65098 Appl. Math. Comput. 179, No. 2, 466-472 (2006). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65M70 65M12 35Q72 65G20 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sayed, Salah M.; Kaya, Doǧan A numerical solution and an exact explicit solution of the NLS equation. (English) Zbl 1088.65088 Appl. Math. Comput. 172, No. 2, 1315-1322 (2006). MSC: 65M70 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doğan; El-Sayed, Salah M. A numerical implementation of the decomposition method for the Lienard equation. (English) Zbl 1091.65071 Appl. Math. Comput. 171, No. 2, 1095-1103 (2005). MSC: 65L05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Geyikli, Turabi; Kaya, Doğan Comparison of the solutions obtained by B-spline FEM and ADM of KdV equation. (English) Zbl 1121.65353 Appl. Math. Comput. 169, No. 1, 146-156 (2005). MSC: 65M60 65M70 35Q53 65M12 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Geyikli, Turabi; Kaya, Doǧan An application for a modified KdV equation by the decomposition method and finite element method. (English) Zbl 1082.65575 Appl. Math. Comput. 169, No. 2, 971-981 (2005). MSC: 65M60 65M70 35Q53 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; Inan, Ibrahim E. A numerical application of the decomposition method for the combined KdV-MKdV equation. (English) Zbl 1080.65100 Appl. Math. Comput. 168, No. 2, 915-926 (2005). Reviewer: Yves Cherruault (Paris) MSC: 65M70 35Q53 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sayed, Salah M.; Kaya, Doǧan Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations. (English) Zbl 1082.65580 Appl. Math. Comput. 167, No. 2, 1339-1349 (2005). MSC: 65M70 35L75 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan An implementation of the ADM for generalized one-dimensional Klein-Gordon equation. (English) Zbl 1074.65118 Appl. Math. Comput. 166, No. 2, 426-433 (2005). MSC: 65M70 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan On experimental results and explicit exact solutions for the generalized Boussinesq type equation. (English) Zbl 1070.65101 Appl. Math. Comput. 165, No. 2, 303-311 (2005). MSC: 65M70 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; Yokus, Asif A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations. (English) Zbl 1070.65102 Appl. Math. Comput. 164, No. 3, 857-864 (2005). MSC: 65M70 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan An application for the higher order modified KdV equation by decomposition method. (English) Zbl 1070.35061 Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 693-702 (2005). MSC: 35Q53 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; Inan, Ibrahim E. A convergence analysis of the ADM and an application. (English) Zbl 1068.65119 Appl. Math. Comput. 161, No. 3, 1015-1025 (2005). Reviewer: Kai Schneider (Marseille) MSC: 65M70 35Q53 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, D. An application of the decomposition method for the two-dimensional KdV-Burgers equation. (English) Zbl 1068.35132 Comput. Math. Appl. 48, No. 10-11, 1659-1665 (2004). MSC: 35Q53 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Shawagfeh, N.; Kaya, D. Series solution to the Pochhammer-Chree equation and comparison with exact solutions. (English) Zbl 1060.74032 Comput. Math. Appl. 47, No. 12, 1915-1920 (2004). MSC: 74J30 74J35 74S30 × Cite Format Result Cite Review PDF Full Text: DOI
Shawagfeh, N.; Kaya, D. Comparing numerical methods for the solutions of systems of ordinary differential equations. (English) Zbl 1061.65062 Appl. Math. Lett. 17, No. 3, 323-328 (2004). MSC: 65L05 65L60 65L06 34A30 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan An application of the modified decomposition method for two dimensional sine-Gordon equation. (English) Zbl 1060.65113 Appl. Math. Comput. 159, No. 1, 1-9 (2004). MSC: 65M70 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Said, Eisa A; Noor, Muhammad Aslam; Kaya, Dogan; Al-Khaled, Kamel Finite difference method for solving fourth-order obstacle problems. (English) Zbl 1060.65077 Int. J. Comput. Math. 81, No. 6, 741-748 (2004). MSC: 65L10 34B05 65K10 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sayed, Salah M.; Kaya, Doǧan An application of the ADM to seven-order Sawada–Kotara equations. (English) Zbl 1061.65100 Appl. Math. Comput. 157, No. 1, 93-101 (2004). MSC: 65M70 65M12 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sayed, Salah M.; Kaya, Doǧan On the numerical solution of the system of two-dimensional Burgers’ equations by the decomposition method. (English) Zbl 1061.65099 Appl. Math. Comput. 158, No. 1, 101-109 (2004). MSC: 65M70 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Khaled, Kamel; Kaya, Dogan; Aslam Noor, Muhammad Numerical comparison of methods for solving parabolic equations. (English) Zbl 1061.65098 Appl. Math. Comput. 157, No. 3, 735-743 (2004). MSC: 65M70 35K05 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan A reliable method for the numerical solution of the kinetics problems. (English) Zbl 1057.65042 Appl. Math. Comput. 156, No. 1, 261-270 (2004). MSC: 65L05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sayed, Salah M.; Kaya, Doǧan The decomposition method for solving (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation. (English) Zbl 1058.65111 Appl. Math. Comput. 157, No. 2, 523-534 (2004). MSC: 65M70 35K55 35K90 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doğan; El-Sayed, Salah M. Adomian’s decomposition method applied to systems of nonlinear algebraic equations. (English) Zbl 1058.65056 Appl. Math. Comput. 154, No. 2, 487-493 (2004). MSC: 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan An application of the decomposition method for the KdVB equation. (English) Zbl 1053.65087 Appl. Math. Comput. 152, No. 1, 279-288 (2004). MSC: 65M70 65M12 35Q53 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; Inan, Ibrahim E. Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation. (English) Zbl 1048.65096 Appl. Math. Comput. 151, No. 3, 775-787 (2004). MSC: 65M70 65M12 35Q53 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan Exact and numerical soliton solutions of some nonlinear physical models. (English) Zbl 1288.76061 Appl. Math. Comput. 152, No. 2, 551-560 (2004). MSC: 76M25 76B15 35C05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; El-Sayed, Salah M. A numerical simulation and explicit solutions of the generalized Burgers–Fisher equation. (English) Zbl 1052.65098 Appl. Math. Comput. 152, No. 2, 403-413 (2004). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M70 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sayed, Salah M.; Kaya, Doǧan Comparing numerical methods for Helmholtz equation model problem. (English) Zbl 1051.65113 Appl. Math. Comput. 150, No. 3, 763-773 (2004). MSC: 65N35 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation. (English) Zbl 1038.65101 Appl. Math. Comput. 149, No. 3, 833-841 (2004). MSC: 65M70 35L75 76B15 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation. (English) Zbl 1037.35069 Appl. Math. Comput. 147, No. 1, 69-78 (2004). MSC: 35Q53 37K40 35C10 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; El-Sayed, Salah M. Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method. (English) Zbl 1065.35219 Phys. Lett., A 320, No. 2-3, 192-199 (2003). MSC: 35Q53 35Q51 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; El-Sayed, Salah M. An application of the decomposition method for the generalized KdV and RLW equations. (English) Zbl 1030.35139 Chaos Solitons Fractals 17, No. 5, 869-877 (2003). MSC: 35Q53 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; El-Sayed, Salah M. A numerical method for solving Jaulent-Miodek equation. (English) Zbl 1045.35065 Phys. Lett., A 318, No. 4-5, 345-353 (2003). MSC: 35Q53 65M99 35L15 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; El-Sayed, Salah M. On the solution of the coupled Schrödinger-KdV equation by the decomposition method. (English) Zbl 1040.35099 Phys. Lett., A 313, No. 1-2, 82-88 (2003). MSC: 35Q53 35Q55 35K15 35C10 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; El-Sayed, Salah M. On a generalized fifth order KdV equation. (English) Zbl 1011.35114 Phys. Lett., A 310, No. 1, 44-51 (2003). MSC: 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Doǧan; Yokus, Asif A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations. (English) Zbl 1007.65078 Math. Comput. Simul. 60, No. 6, 507-512 (2002). MSC: 65M70 35K05 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, Dogan; Aassila, Mohammed An application for a generalized KdV equation by the decomposition method. (English) Zbl 0996.35061 Phys. Lett., A 299, No. 2-3, 201-206 (2002). MSC: 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI