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## Yıldırım, Ahmet

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 Author ID: yildirim.ahmet Published as: Yildirim, A.; Yildirim, Ahmet; Yıldrım, Ahmet; Yıldırım, A.; Yıldırım, Ahmet
 Documents Indexed: 143 Publications since 2007
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all top 5

#### Serials

 19 International Journal of Numerical Methods for Heat & Fluid Flow 17 Computers & Mathematics with Applications 7 Mathematical and Computer Modelling 7 International Journal for Numerical Methods in Biomedical Engineering 6 International Journal of Computer Mathematics 6 Applications and Applied Mathematics 4 Nonlinear Analysis. Modelling and Control 3 Results in Mathematics 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematics Letters 3 Mathematical Problems in Engineering 2 International Journal for Numerical Methods in Fluids 2 Journal of Sound and Vibration 2 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Computation 2 Meccanica 2 Applied Mathematical Modelling 2 Communications in Numerical Methods in Engineering 2 Journal of Applied Functional Analysis 2 International Journal of Nonlinear Science 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Kybernetes 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Chinese Annals of Mathematics. Series B 1 Computational Mathematics and Modeling 1 Numerical Algorithms 1 Topological Methods in Nonlinear Analysis 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Engineering Computations 1 Nonlinear Analysis Forum 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Iranian Journal of Science and Technology. Transaction A: Science 1 International Journal of Computational Methods 1 Miskolc Mathematical Notes 1 Waves in Random and Complex Media 1 Applied Mathematical Sciences (Ruse) 1 Asian-European Journal of Mathematics 1 Communications in Theoretical Physics 1 International Journal of Differential Equations 1 Journal of Numerical Mathematics and Stochastics 1 Journal of Applied Mathematics & Informatics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Caspian Journal of Mathematical Sciences 1 Computational Methods for Differential Equations 1 International Journal of Applied and Computational Mathematics
all top 5

#### Fields

 81 Numerical analysis (65-XX) 60 Partial differential equations (35-XX) 26 Ordinary differential equations (34-XX) 18 Fluid mechanics (76-XX) 12 Integral equations (45-XX) 9 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of particles and systems (70-XX) 4 Real functions (26-XX) 4 Mechanics of deformable solids (74-XX) 3 Integral transforms, operational calculus (44-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

124 Publications have been cited 1,435 times in 900 Documents Cited by Year
Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method. Zbl 1209.65120
Yıldırım, Ahmet; Öziş, Turgut
2007
Solutions of singular IVPs of Lane-Emden type by the variational iteration method. Zbl 1162.34005
Yıldırım, Ahmet; Öziş, Turgut
2009
Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method. Zbl 1165.65377
Yıldırım, Ahmet
2008
Determination of periodic solution for a $$u^{1/3}$$ force by He’s modified Lindstedt-Poincaré method. Zbl 1242.70044
Öziş, Turgut; Yıldırım, Ahmet
2007
A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations. Zbl 1278.65096
Bhrawy, A. H.; Tharwat, M. M.; Yildirim, A.
2013
On the coupling of the homotopy perturbation method and Laplace transformation. Zbl 1219.65121
2011
He’s homotopy perturbation method for solving the space- and time-fractional telegraph equations. Zbl 1206.65239
Yıldırım, Ahmet
2010
He’s homotopy perturbation method for nonlinear differential-difference equations. Zbl 1192.65102
Yıldırım, Ahmet
2010
An approximate analytical solution of time-fractional telegraph equation. Zbl 1216.65135
Das, S.; Vishal, K.; Gupta, P. K.; Yildirim, A.
2011
Determination of the frequency-amplitude relation for a Duffing-harmonic oscillator by the energy balance method. Zbl 1147.34321
Öziş, Turgut; Yıldırım, Ahmet
2007
Application of he’s homotopy perturbation method for solving the Cauchy reaction-diffusion problem. Zbl 1165.65398
Yıldırım, Ahmet
2009
Comparison between Adomian’s method and He’s homotopy perturbation method. Zbl 1155.65344
Öziş, Turgut; Yıldırım, Ahmet
2008
Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He’s homotopy perturbation method. Zbl 1192.65137
Momani, Shaher; Yıldırım, Ahmet
2010
A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system. Zbl 1268.65139
Wei, Leilei; Zhang, Xindong; Kumar, Sunil; Yildirim, Ahmet
2012
A study of nonlinear oscillators with $$u^{1/3}$$ force by He’s variational iteration method. Zbl 1242.74214
Öziş, Turgut; Yıldırım, Ahmet
2007
Numerical solution of fractional differential equations with a tau method based on Legendre and Bernstein polynomials. Zbl 1290.26008
Rad, J. A.; Kazem, S.; Shaban, M.; Parand, K.; Yildirim, A.
2014
On the numerical solution of the model for HIV infection of $$CD4^{+}$$ T cells. Zbl 1228.65137
Merdan, Mehmet; Gökdoğan, Ahmet; Yildirim, Ahmet
2011
Analytical approach to fractional partial differential equations in fluid mechanics by means of the homotopy perturbation method. Zbl 1231.76225
Yıldırım, Ahmet
2010
Variational iteration method for the time-fractional Fornberg-Whitham equation. Zbl 1247.65138
Sakar, Mehmet Giyas; Erdogan, Fevzi; Yıldırım, Ahmet
2012
Solving a fractional order model of HIV infection of $$CD4^{+}$$ T cells. Zbl 1235.34014
Gökdoǧan, Ahmet; Yildirim, Ahmet; Merdan, Mehmet
2011
The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets. Zbl 1198.65148
Raftari, Behrouz; Yildirim, Ahmet
2010
Application of He’s semi-inverse method to the nonlinear Schrödinger equation. Zbl 1157.65465
Öziş, Turgut; Yıldırım, Ahmet
2007
The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet. Zbl 1222.76014
Khan, Yasir; Wu, Qingbiao; Faraz, Naeem; Yildirim, Ahmet
2011
Homotopy perturbation method for the mixed Volterra-Fredholm integral equations. Zbl 1198.65258
Yildirim, Ahmet
2009
A new fractional analytical approach via a modified Riemann-Liouville derivative. Zbl 1251.65101
Khan, Yasir; Wu, Qingbiao; Faraz, Naeem; Yildirim, A.; Madani, M.
2012
Fractional variational iteration method for fractional initial-boundary value problems arising in the application of nonlinear science. Zbl 1231.35288
Khan, Yasir; Faraz, Naeem; Yildirim, Ahmet; Wu, Qingbiao
2011
Applying He’s variational iteration method for solving differential-difference equation. Zbl 1155.65384
Yıldırım, Ahmet
2008
Variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations. Zbl 1185.65193
Yıldırım, Ahmet
2010
Numerical soliton solution of the Kaup-Kupershmidt equation. Zbl 1231.65195
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Sariaydin, Selin
2011
Application of the exp-function method for solving nonlinear reaction-diffusion equations arising in mathematical biology. Zbl 1205.35325
Yıldırım, Ahmet; Pınar, Zehra
2010
Analytical solutions to the pulsed Klein-Gordon equation using modified variational iteration method (MVIM) and Boubaker polynomials expansion scheme (BPES). Zbl 1193.65186
Yildirim, A.; Mohyud-Din, S. T.; Zhang, D. H.
2010
Determination of periodic solutions for nonlinear oscillators with fractional powers by He’s modified Lindstedt-Poincaré method. Zbl 1184.70018
Yildirim, Ahmet
2010
Exp-function method for solitary and periodic solutions of Fitzhugh-Nagumo equation. Zbl 1356.35086
Mohyud-din, Syed Tauseef; Khan, Yasir; Faraz, Naeem; Yıldırım, Ahmet
2012
Generating the periodic solutions for forcing van der Pol oscillators by the iteration perturbation method. Zbl 1163.34355
Öziş, Turgut; Yıldırım, Ahmet
2009
New solutions for (1+1)-dimensional and (2+1)-dimensional Kaup–Kupershmidt equations. Zbl 1259.35008
Bhrawy, A. H.; Biswas, Anjan; Javidi, M.; Ma, Wen Xiu; Pınar, Zehra; Yıldırım, Ahmet
2013
Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis. Zbl 1255.65144
Tharwat, M. M.; Bhrawy, A. H.; Yildirim, A.
2012
Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method. Zbl 1192.65115
Yildirim, Ahmet; Cherruault, Yves
2009
Analytical solution of second-order hyperbolic telegraph equation by variational iteration and homotopy perturbation methods. Zbl 1254.35010
Raftari, Behrouz; Yildirim, Ahmet
2012
New soliton solutions of the generalized Zakharov equations using He’s variational approach. Zbl 1211.35071
Khan, Yasir; Faraz, Naeem; Yildirim, Ahmet
2011
Application of the homotopy perturbation method for the Fokker – Planck equation. Zbl 1200.65085
Yıldırım, Ahmet
2010
Numerical computation of eigenvalues of discontinuous Sturm-Liouville problems with parameter dependent boundary conditions using sinc method. Zbl 1281.65105
Tharwat, M. M.; Bhrawy, A. H.; Yildirim, Ahmet
2013
Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation. Zbl 1263.65098
Wei, Leilei; He, Yinnian; Yildirim, Ahmet; Kumar, Sunil
2013
The differential transform method and Padé approximants for a fractional population growth model. Zbl 1356.92073
Erturk, Vedat Suat; Yıldırım, Ahmet; Momanic, Shaher; Khan, Yasir
2012
Approximate periodic solutions for the Helmholtz-Duffing equation. Zbl 1236.65103
2011
Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms. Zbl 1225.34044
2011
Homotopy perturbation method for numerical solutions of coupled Burgers equations with time- and space-fractional derivatives. Zbl 1231.76226
Yıldırım, Ahmet; Kelleci, Alev
2010
Reliable analysis for obtaining exact soliton solutions of nonlinear Schrödinger (NLS) equation. Zbl 1142.35605
Öziş, Turgut; Yıldırım, Ahmet
2008
HPM applied to solve nonlinear circuits: a study case. Zbl 1263.37081
Filobello-Nino, U.; Vazquez-Leal, H.; Khan, Y.; Yildirim, A.; Pereyra-Diaz, D.; Perez-Sesma, A.; Hernandez-Martinez, L.; Sanchez-Orea, J.; Castaneda-Sheissa, R.; Rabago-Bernale, F.
2012
Higher-order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach. Zbl 1272.70110
2011
Analysis of nonlinear oscillations of a punctual charge in the electric field of a charged ring via a Hamiltonian approach and the energy balance method. Zbl 1228.78003
2011
Homotopy perturbation method for the nonlinear dispersive $$K(m,n,1)$$ equations with fractional time derivatives. Zbl 1231.65191
Koçak, Hüseyin; Öziş, Turgut; Yıldırım, Ahmet
2010
Effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel. Zbl 1201.76318
Yıldırım, Ahmet; Sezer, Sefa Anıl
2010
Series solution for a delay differential equation arising in electrodynamics. Zbl 1177.78059
Koçak, Hüseyin; Yıldırım, Ahmet
2009
Sampling of discontinuous Dirac systems. Zbl 1276.34021
Tharwat, M. M.; Yildirim, A.; Bhrawy, A. H.
2013
Application of He’s homotopy perturbation method for multi-dimensional fractional Helmholtz equation. Zbl 1357.65189
Gupta, Praveen Kumar; Yildirim, A.; Rai, K. N.
2012
A collocation approach for solving high-order linear Fredholm-Volterra integro-differential equations. Zbl 1255.65251
Yüzbaşı, Şuayip; Şahın, Niyazi; Yildirim, Ahmet
2012
Analysis of differential equations of fractional order. Zbl 1252.34007
Sayevand, Khosro; Golbabai, Ahmad; Yildirim, Ahmet
2012
Analytical solution of wave system in $$\mathbb{R}^n$$ with coupling controllers. Zbl 1231.65248
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Demirli, Gülseren
2011
He’s homotopy perturbation method for solving the shock wave equation. Zbl 1172.76042
Berberler, Murat Erşen; Yildirim, Ahmet
2009
Analytical approach to fractional Zakharov-Kuznetsov equations by He’s homotopy perturbation method. Zbl 1218.35196
Yıldırım, Ahmet; Gülkanat, Yağmur
2010
Numerical solution of 3D Green’s function for the dynamic system of anisotropic elasticity. Zbl 1233.74003
Koçak, Hüseyin; Yıldırım, Ahmet
2009
A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations. Zbl 1308.65134
Nazari-Golshan, A.; Nourazar, S. S.; Ghafoori-Fard, H.; Yildirim, A.; Campo, A.
2013
Homotopy analysis method for space- and time-fractional KdV equation. Zbl 1357.65221
Mohyud-Din, Syed Tauseef; Yıldırım, Ahmet; Yülüklü, Eda
2012
Application of homotopy perturbation and numerical methods to the circular porous slider. Zbl 1356.76205
Madani, M.; Khan, Yasir; Mahmodi, Gh.; Faraz, Naeem; Yildirim, Ahmet; Nasernejad, B.
2012
Dynamic analysis of vibrating systems with nonlinearities. Zbl 1247.34054
Yazdi, Kalami M.; Ahmadian, H.; Mirzabeigy, A.; Yildirim, A.
2012
A coupling method of homotopy perturbation and Laplace transformation for fractional models. Zbl 1245.65143
Khan, Yasir; Faraz, Naeem; Kumar, Sunil; Yildirim, Ahmet
2012
An efficient algorithm for solving nonlinear age-structured population models by combining homotopy perturbation and Padé techniques. Zbl 1209.92048
Koçak, Hüseyin; Yıldırım, Ahmet
2011
Solution of tenth and ninth-order boundary value problems by homotopy perturbation method. Zbl 1242.65145
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet
2010
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Sezer, Sefa Anıl; Usman, Muhammad
2010
On the solution of the nonlinear Korteweg-de Vries equation by the homotopy perturbation method. Zbl 1179.65135
Yildirim, Ahmet
2009
Approximate analytical solution to time fractional nonlinear evolution equations. Zbl 1357.65209
Abdou, M. A.; Yildirim, Ahmet
2012
Adaptive multi-step differential transformation method to solving nonlinear differential equations. Zbl 1255.65135
Gökdoğan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet
2012
A new modified homotopy perturbation method with two free auxiliary parameters for solving MHD viscous flow due to a shrinking sheet. Zbl 1284.76320
Raftari, Behrouz; Yildirim, Ahmet
2011
An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations. Zbl 1276.35053
Koçak, Hüseyin; Yıldırım, Ahmet
2011
He’s homotopy perturbation method for solving the fractional KdV-Burgers-Kuramoto equation. Zbl 1231.65196
Sezer, Sefa Anıl; Yıldırım, Ahmet; Mohyud-Din, Syed Tauseef
2011
Series solution of a nonlinear ODE arising in magnetohydrodynamic by HPM-Padé technique. Zbl 1217.76055
Raftari, Behrouz; Yildirim, Ahmet
2011
Solution of time-fractional generalized Hirota-Satsuma coupled KdV equation by generalised differential transformation method. Zbl 1357.65219
Merdan, Mehmet; Gökdoğan, Ahmet; Yildirim, Ahmet; Mohyud-Din, Syed Tauseef
2013
Homotopy analysis method for the one-dimensional hyperbolic telegraph equation with initial conditions. Zbl 1356.35090
Raftari, Behrouz; Khosravi, Heidar; Yildirim, Ahmet
2013
Newton-Kantorovich convergence theorem of a modified Newton’s method under the gamma-condition in a Banach space. Zbl 1292.90320
Chen, M.; Khan, Y.; Wu, Q.; Yildirim, A.
2013
Topological soliton and other exact solutions to KdV–Caudrey–Dodd–Gibbon equation. Zbl 1418.37114
2013
New exact traveling wave solutions for DS-I and DS-II equations. Zbl 1308.35052
2012
Analytical solution for nonlinear wave propagation in shallow media using the variational iteration method. Zbl 1291.76071
2012
Solutions of the perturbed Klein-Gordon equations. Zbl 1267.35129
Biswas, Anjan; Ebadi, Ghodrat; Fessak, M.; Johnpillai, Andrew Gratien; Johnson, Stephen; Krishnan, Edamana Vasudevan; Yildirim, Ahmet
2012
An efficient numerical method for solving coupled Burgers’ equation by Combining homotopy perturbation and Padé techniques. Zbl 1219.65108
Kelleci, Alev; Yıldırım, Ahmet
2011
Variational iteration method for initial and boundary value problems using He’s polynomials. Zbl 1206.35019
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Hosseini, M. M.
2010
Solutions of tenth and ninth-order boundary value problems by modified variational iteration method. Zbl 1194.65101
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet
2010
Homotopy perturbation method to obtain exact special solutions with solitary patterns for Boussinesq-like $$B(m,n)$$ equations with fully nonlinear dispersion. Zbl 1202.76032
Yıldırım, Ahmet
2009
Solution of the heat equation in the cast-mould heterogeneous domain using a weighted algorithm based on the homotopy perturbation method. Zbl 1357.65226
Vanani, S. Karimi; Yildirim, A.; Soleymani, F.; Khan, M.; Tutkun, S.
2013
Using perturbation methods and Laplace-Padé approximation to solve nonlinear problems. Zbl 1299.37063
Filobello-Nino, U.; Vazquez-Leal, H.; Khan, Y.; Yildirim, A.; Jimenez-Fernandez, V. M.; Herrera-May, A. L.; Castaneda-Sheissa, R.; Cervantes-Perez, J.
2013
Rational approximation solution of the foam drainage equation with time- and space-fractional derivatives. Zbl 1356.76263
Yıldırım, Ahmet; Koçak, Hüseyin
2012
Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations. Zbl 1304.34110
2012
Determinant solutions to a $$(3+1)$$-dimensional generalized KP equation with variable coefficients. Zbl 1263.65100
Abdeljabbar, Alrazi; Ma, Wenxiu; Yildirim, Ahmet
2012
A relationship between three analytical approaches to nonlinear problems. Zbl 1250.65096
Yildirim, A.; Askari, H.; Yazdi, M. Kalami; Khan, Y.
2012
Exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity by using the first integral method. Zbl 1276.35051
2011
Applications of variational iteration and homotopy perturbation methods to obtain exact solutions for time-fractional diffusion-wave equations. Zbl 1231.65187
Ateş, İnan; Yıldırım, Ahmet
2010
Solving nonlinear boundary value problems using He’s polynomials and Padé approximants. Zbl 1188.65093
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet
2009
Exact solitary-wave solutions for the nonlinear dispersive $$K(2,2,1)$$ and $$K(3,3,1)$$ equations by the homotopy perturbation method. Zbl 1185.35214
Yildirim, Ahmet
2009
Homotopy analysis and homotopy Padé methods for $$(1+1)$$ and $$(2+1)$$-dimensional dispersive long wave equations. Zbl 1357.65214
Jabbari, A.; Kheiri, H.; Yildirim, A.
2013
On numerical solution to fractional nonlinear oscillatory equations. Zbl 1293.70072
Merdan, Mehmet; Gökdoğan, Ahmet; Yildirim, Ahmet
2013
Solution of the MHD Falkner-Skan flow by Adomian decomposition method and Padé approximants. Zbl 1356.76251
Raftari, Behrouz; Adibi, Hojatollah; Yildirim, Ahmet
2012
Numerical solution of fractional differential equations with a tau method based on Legendre and Bernstein polynomials. Zbl 1290.26008
Rad, J. A.; Kazem, S.; Shaban, M.; Parand, K.; Yildirim, A.
2014
A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations. Zbl 1278.65096
Bhrawy, A. H.; Tharwat, M. M.; Yildirim, A.
2013
New solutions for (1+1)-dimensional and (2+1)-dimensional Kaup–Kupershmidt equations. Zbl 1259.35008
Bhrawy, A. H.; Biswas, Anjan; Javidi, M.; Ma, Wen Xiu; Pınar, Zehra; Yıldırım, Ahmet
2013
Numerical computation of eigenvalues of discontinuous Sturm-Liouville problems with parameter dependent boundary conditions using sinc method. Zbl 1281.65105
Tharwat, M. M.; Bhrawy, A. H.; Yildirim, Ahmet
2013
Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation. Zbl 1263.65098
Wei, Leilei; He, Yinnian; Yildirim, Ahmet; Kumar, Sunil
2013
Sampling of discontinuous Dirac systems. Zbl 1276.34021
Tharwat, M. M.; Yildirim, A.; Bhrawy, A. H.
2013
A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations. Zbl 1308.65134
Nazari-Golshan, A.; Nourazar, S. S.; Ghafoori-Fard, H.; Yildirim, A.; Campo, A.
2013
Solution of time-fractional generalized Hirota-Satsuma coupled KdV equation by generalised differential transformation method. Zbl 1357.65219
Merdan, Mehmet; Gökdoğan, Ahmet; Yildirim, Ahmet; Mohyud-Din, Syed Tauseef
2013
Homotopy analysis method for the one-dimensional hyperbolic telegraph equation with initial conditions. Zbl 1356.35090
Raftari, Behrouz; Khosravi, Heidar; Yildirim, Ahmet
2013
Newton-Kantorovich convergence theorem of a modified Newton’s method under the gamma-condition in a Banach space. Zbl 1292.90320
Chen, M.; Khan, Y.; Wu, Q.; Yildirim, A.
2013
Topological soliton and other exact solutions to KdV–Caudrey–Dodd–Gibbon equation. Zbl 1418.37114
2013
Solution of the heat equation in the cast-mould heterogeneous domain using a weighted algorithm based on the homotopy perturbation method. Zbl 1357.65226
Vanani, S. Karimi; Yildirim, A.; Soleymani, F.; Khan, M.; Tutkun, S.
2013
Using perturbation methods and Laplace-Padé approximation to solve nonlinear problems. Zbl 1299.37063
Filobello-Nino, U.; Vazquez-Leal, H.; Khan, Y.; Yildirim, A.; Jimenez-Fernandez, V. M.; Herrera-May, A. L.; Castaneda-Sheissa, R.; Cervantes-Perez, J.
2013
Homotopy analysis and homotopy Padé methods for $$(1+1)$$ and $$(2+1)$$-dimensional dispersive long wave equations. Zbl 1357.65214
Jabbari, A.; Kheiri, H.; Yildirim, A.
2013
On numerical solution to fractional nonlinear oscillatory equations. Zbl 1293.70072
Merdan, Mehmet; Gökdoğan, Ahmet; Yildirim, Ahmet
2013
Homotopy Padé method for solving second-order one-dimensional telegraph equation. Zbl 1357.65215
Jabbari, Azizeh; Kheiri, Hossein; Yildirim, Ahmet
2013
Exploring collision-free path planning by using homotopy continuation methods. Zbl 1366.70011
Vazquez-Leal, H.; Marin-Hernandez, A.; Khan, Y.; Yıldırım, A.; Filobello-Nino, U.; Castaneda-Sheissa, R.; Jimenez-Fernandez, V. M.
2013
A generalization of the Bernoulli’s method applied to brachistochrone-like problems. Zbl 1286.49056
Filobello-Nino, U.; Vazquez-Leal, H.; Pereyra-Diaz, D.; Yildirim, A.; Perez-Sesma, A.; Castaneda-Sheissa, R.; Sanchez-Orea, J.; Hoyos-Reyes, C.
2013
A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system. Zbl 1268.65139
Wei, Leilei; Zhang, Xindong; Kumar, Sunil; Yildirim, Ahmet
2012
Variational iteration method for the time-fractional Fornberg-Whitham equation. Zbl 1247.65138
Sakar, Mehmet Giyas; Erdogan, Fevzi; Yıldırım, Ahmet
2012
A new fractional analytical approach via a modified Riemann-Liouville derivative. Zbl 1251.65101
Khan, Yasir; Wu, Qingbiao; Faraz, Naeem; Yildirim, A.; Madani, M.
2012
Exp-function method for solitary and periodic solutions of Fitzhugh-Nagumo equation. Zbl 1356.35086
Mohyud-din, Syed Tauseef; Khan, Yasir; Faraz, Naeem; Yıldırım, Ahmet
2012
Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis. Zbl 1255.65144
Tharwat, M. M.; Bhrawy, A. H.; Yildirim, A.
2012
Analytical solution of second-order hyperbolic telegraph equation by variational iteration and homotopy perturbation methods. Zbl 1254.35010
Raftari, Behrouz; Yildirim, Ahmet
2012
The differential transform method and Padé approximants for a fractional population growth model. Zbl 1356.92073
Erturk, Vedat Suat; Yıldırım, Ahmet; Momanic, Shaher; Khan, Yasir
2012
HPM applied to solve nonlinear circuits: a study case. Zbl 1263.37081
Filobello-Nino, U.; Vazquez-Leal, H.; Khan, Y.; Yildirim, A.; Pereyra-Diaz, D.; Perez-Sesma, A.; Hernandez-Martinez, L.; Sanchez-Orea, J.; Castaneda-Sheissa, R.; Rabago-Bernale, F.
2012
Application of He’s homotopy perturbation method for multi-dimensional fractional Helmholtz equation. Zbl 1357.65189
Gupta, Praveen Kumar; Yildirim, A.; Rai, K. N.
2012
A collocation approach for solving high-order linear Fredholm-Volterra integro-differential equations. Zbl 1255.65251
Yüzbaşı, Şuayip; Şahın, Niyazi; Yildirim, Ahmet
2012
Analysis of differential equations of fractional order. Zbl 1252.34007
Sayevand, Khosro; Golbabai, Ahmad; Yildirim, Ahmet
2012
Homotopy analysis method for space- and time-fractional KdV equation. Zbl 1357.65221
Mohyud-Din, Syed Tauseef; Yıldırım, Ahmet; Yülüklü, Eda
2012
Application of homotopy perturbation and numerical methods to the circular porous slider. Zbl 1356.76205
Madani, M.; Khan, Yasir; Mahmodi, Gh.; Faraz, Naeem; Yildirim, Ahmet; Nasernejad, B.
2012
Dynamic analysis of vibrating systems with nonlinearities. Zbl 1247.34054
Yazdi, Kalami M.; Ahmadian, H.; Mirzabeigy, A.; Yildirim, A.
2012
A coupling method of homotopy perturbation and Laplace transformation for fractional models. Zbl 1245.65143
Khan, Yasir; Faraz, Naeem; Kumar, Sunil; Yildirim, Ahmet
2012
Approximate analytical solution to time fractional nonlinear evolution equations. Zbl 1357.65209
Abdou, M. A.; Yildirim, Ahmet
2012
Adaptive multi-step differential transformation method to solving nonlinear differential equations. Zbl 1255.65135
Gökdoğan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet
2012
New exact traveling wave solutions for DS-I and DS-II equations. Zbl 1308.35052
2012
Analytical solution for nonlinear wave propagation in shallow media using the variational iteration method. Zbl 1291.76071
2012
Solutions of the perturbed Klein-Gordon equations. Zbl 1267.35129
Biswas, Anjan; Ebadi, Ghodrat; Fessak, M.; Johnpillai, Andrew Gratien; Johnson, Stephen; Krishnan, Edamana Vasudevan; Yildirim, Ahmet
2012
Rational approximation solution of the foam drainage equation with time- and space-fractional derivatives. Zbl 1356.76263
Yıldırım, Ahmet; Koçak, Hüseyin
2012
Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations. Zbl 1304.34110
2012
Determinant solutions to a $$(3+1)$$-dimensional generalized KP equation with variable coefficients. Zbl 1263.65100
Abdeljabbar, Alrazi; Ma, Wenxiu; Yildirim, Ahmet
2012
A relationship between three analytical approaches to nonlinear problems. Zbl 1250.65096
Yildirim, A.; Askari, H.; Yazdi, M. Kalami; Khan, Y.
2012
Solution of the MHD Falkner-Skan flow by Adomian decomposition method and Padé approximants. Zbl 1356.76251
Raftari, Behrouz; Adibi, Hojatollah; Yildirim, Ahmet
2012
An algorithm for solving the fractional vibration equation. Zbl 1283.74020
Mohyud-Din, S. T.; Yıldırım, A.
2012
Shortest hop multipath algorithm for wireless sensor networks. Zbl 1238.90133
Yilmaz, Onur; Demirci, Sercan; Kaymak, Yagiz; Ergun, Serkan; Yildirim, Ahmet
2012
Numerical simulation of fractional Fornberg-Whitham equation by differential transformation method. Zbl 1387.65111
Merdan, Mehmet; Gökdoğan, Ahmet; Yıldırım, Ahmet; Mohyud-Din, Syed Tauseef
2012
Differential transformation method for solving a neutral functional-differential equation with proportional delays. Zbl 1412.34219
Gokdogan, A.; Merdan, M.; Yildirim, A.
2012
Analytical approximations for a conservative nonlinear singular oscillator in plasma physics. Zbl 1267.34030
Mirzabeigy, A.; Kalami-Yazdi, M.; Yildirim, A.
2012
On the coupling of the homotopy perturbation method and Laplace transformation. Zbl 1219.65121
2011
An approximate analytical solution of time-fractional telegraph equation. Zbl 1216.65135
Das, S.; Vishal, K.; Gupta, P. K.; Yildirim, A.
2011
On the numerical solution of the model for HIV infection of $$CD4^{+}$$ T cells. Zbl 1228.65137
Merdan, Mehmet; Gökdoğan, Ahmet; Yildirim, Ahmet
2011
Solving a fractional order model of HIV infection of $$CD4^{+}$$ T cells. Zbl 1235.34014
Gökdoǧan, Ahmet; Yildirim, Ahmet; Merdan, Mehmet
2011
The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet. Zbl 1222.76014
Khan, Yasir; Wu, Qingbiao; Faraz, Naeem; Yildirim, Ahmet
2011
Fractional variational iteration method for fractional initial-boundary value problems arising in the application of nonlinear science. Zbl 1231.35288
Khan, Yasir; Faraz, Naeem; Yildirim, Ahmet; Wu, Qingbiao
2011
Numerical soliton solution of the Kaup-Kupershmidt equation. Zbl 1231.65195
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Sariaydin, Selin
2011
New soliton solutions of the generalized Zakharov equations using He’s variational approach. Zbl 1211.35071
Khan, Yasir; Faraz, Naeem; Yildirim, Ahmet
2011
Approximate periodic solutions for the Helmholtz-Duffing equation. Zbl 1236.65103
2011
Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms. Zbl 1225.34044
2011
Higher-order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach. Zbl 1272.70110
2011
Analysis of nonlinear oscillations of a punctual charge in the electric field of a charged ring via a Hamiltonian approach and the energy balance method. Zbl 1228.78003
2011
Analytical solution of wave system in $$\mathbb{R}^n$$ with coupling controllers. Zbl 1231.65248
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Demirli, Gülseren
2011
An efficient algorithm for solving nonlinear age-structured population models by combining homotopy perturbation and Padé techniques. Zbl 1209.92048
Koçak, Hüseyin; Yıldırım, Ahmet
2011
A new modified homotopy perturbation method with two free auxiliary parameters for solving MHD viscous flow due to a shrinking sheet. Zbl 1284.76320
Raftari, Behrouz; Yildirim, Ahmet
2011
An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations. Zbl 1276.35053
Koçak, Hüseyin; Yıldırım, Ahmet
2011
He’s homotopy perturbation method for solving the fractional KdV-Burgers-Kuramoto equation. Zbl 1231.65196
Sezer, Sefa Anıl; Yıldırım, Ahmet; Mohyud-Din, Syed Tauseef
2011
Series solution of a nonlinear ODE arising in magnetohydrodynamic by HPM-Padé technique. Zbl 1217.76055
Raftari, Behrouz; Yildirim, Ahmet
2011
An efficient numerical method for solving coupled Burgers’ equation by Combining homotopy perturbation and Padé techniques. Zbl 1219.65108
Kelleci, Alev; Yıldırım, Ahmet
2011
Exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity by using the first integral method. Zbl 1276.35051
2011
A numerical algorithm for solving nonlinear delay Volterra integral equations by means of homotopy perturbation method. Zbl 1401.65154
Vanani, Solat Karimi; Yıldırım, Ahmet; Soleymani, F.; Khan, M.
2011
The comparative Boubaker polynomials expansion scheme (BPES) and homotopy perturbation method (HPM) for solving a standard nonlinear second-order boundary value problem. Zbl 1225.65080
Koçak, H.; Yıldırım, A.; Zhang, D. H.; Mohyud-Din, S. T.
2011
Analytical approach to Boussinesq equation with space- and time-fractional derivatives. Zbl 1221.65267
Yıldırım, Ahmet; Sezer, Sefa Anıl; Kaplan, Yasemin
2011
Numerical solution of the system of nonlinear ordinary differential equations arising in kinetic modeling of lactic acid fermentation and epidemic model. Zbl 1215.92022
Kelleci, Alev; Yıldırım, Ahmet
2011
Numerical solutions of wave equations subject to an integral conservation condition by He’s homotopy perturbation method. Zbl 1247.35066
Yıldırım, Ahmet; Yağmur; Gülkanat
2011
Solution of a nonlinear equation with Riemann-Liouville fractional derivatives by homotopy perturbation method. Zbl 1233.34002
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet
2011
He’s homotopy perturbation method for solving the space- and time-fractional telegraph equations. Zbl 1206.65239
Yıldırım, Ahmet
2010
He’s homotopy perturbation method for nonlinear differential-difference equations. Zbl 1192.65102
Yıldırım, Ahmet
2010
Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He’s homotopy perturbation method. Zbl 1192.65137
Momani, Shaher; Yıldırım, Ahmet
2010
Analytical approach to fractional partial differential equations in fluid mechanics by means of the homotopy perturbation method. Zbl 1231.76225
Yıldırım, Ahmet
2010
The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets. Zbl 1198.65148
Raftari, Behrouz; Yildirim, Ahmet
2010
Variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations. Zbl 1185.65193
Yıldırım, Ahmet
2010
Application of the exp-function method for solving nonlinear reaction-diffusion equations arising in mathematical biology. Zbl 1205.35325
Yıldırım, Ahmet; Pınar, Zehra
2010
Analytical solutions to the pulsed Klein-Gordon equation using modified variational iteration method (MVIM) and Boubaker polynomials expansion scheme (BPES). Zbl 1193.65186
Yildirim, A.; Mohyud-Din, S. T.; Zhang, D. H.
2010
Determination of periodic solutions for nonlinear oscillators with fractional powers by He’s modified Lindstedt-Poincaré method. Zbl 1184.70018
Yildirim, Ahmet
2010
Application of the homotopy perturbation method for the Fokker – Planck equation. Zbl 1200.65085
Yıldırım, Ahmet
2010
Homotopy perturbation method for numerical solutions of coupled Burgers equations with time- and space-fractional derivatives. Zbl 1231.76226
Yıldırım, Ahmet; Kelleci, Alev
2010
Homotopy perturbation method for the nonlinear dispersive $$K(m,n,1)$$ equations with fractional time derivatives. Zbl 1231.65191
Koçak, Hüseyin; Öziş, Turgut; Yıldırım, Ahmet
2010
Effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel. Zbl 1201.76318
Yıldırım, Ahmet; Sezer, Sefa Anıl
2010
Analytical approach to fractional Zakharov-Kuznetsov equations by He’s homotopy perturbation method. Zbl 1218.35196
Yıldırım, Ahmet; Gülkanat, Yağmur
2010
Solution of tenth and ninth-order boundary value problems by homotopy perturbation method. Zbl 1242.65145
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet
2010
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Sezer, Sefa Anıl; Usman, Muhammad
2010
Variational iteration method for initial and boundary value problems using He’s polynomials. Zbl 1206.35019
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Hosseini, M. M.
2010
Solutions of tenth and ninth-order boundary value problems by modified variational iteration method. Zbl 1194.65101
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet
2010
Applications of variational iteration and homotopy perturbation methods to obtain exact solutions for time-fractional diffusion-wave equations. Zbl 1231.65187
Ateş, İnan; Yıldırım, Ahmet
2010
Numerical comparison of methods for Hirota-Satsuma model. Zbl 1205.65289
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Hosseini, Syed Mohammad Mahdi
2010
Series solutions of a fractional oscillator by means of the homotopy perturbation method. Zbl 1191.65089
Yıldırım, Ahmet; Momani, Shaher
2010
Modified variational iteration method for solving nonlinear oscillator differential equations. Zbl 1292.65081
Mohyud-Din, Syed Tauseef; Yıldırım, Ahmet
2010
Reliable analysis for the nonlinear fractional calculus model of the semilunar heart valve vibrations. Zbl 1205.92009
Yıldırım, Ahmet; Gülkanat, Yaǧmur
2010
Semi-analytical approach to the shock wave equation. Zbl 1360.65256
Yildirim, A.; Mohyud-Din, S. T.; Berberler, M. E.
2010
A numerical treatment for the solution of the hydromagnetic peristaltic flow of a bio-fluid with variable viscosity in a circular cylindrical tube. Zbl 1323.76131
Sezer, Sefa Anıl; Yıldırım, Ahmet
2010
Homotopy perturbation method for numerical solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations. Zbl 1197.65160
Yildirim, Ahmet; Berberler, Murat Erşen
2010
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