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I.
E. Medina-Ramírez & J.
E. Macías-Díaz. (2013) On a fully discrete finite-difference approximation of a nonlinear diffusion–reaction model in microbial ecology. International Journal of Computer Mathematics 90:9, pages 1915-1937.
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Karem Boubaker & Lin Zhang. (2012) Fermat-linked relations for the Boubaker polynomial sequences via Riordan matrices analysis. Journal of the Association of Arab Universities for Basic and Applied Sciences 12:1, pages 74-78.
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Hüseyin Koçak & Ahmet Yıldırım. (2011) An efficient algorithm for solving nonlinear age-structured population models by combining homotopy perturbation and Padé techniques. International Journal of Computer Mathematics 88:3, pages 491-500.
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Ahmet Yıldırım. (2010) He's homotopy perturbation method for solving the space- and time-fractional telegraph equations. International Journal of Computer Mathematics 87:13, pages 2998-3006.
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Ahmet Yıldırım & Shaher Momani. (2010) Series solutions of a fractional oscillator by means of the homotopy perturbation method. International Journal of Computer Mathematics 87:5, pages 1072-1082.
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Shaher Momani & Ahmet Yıldırım. (2010) Analytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method. International Journal of Computer Mathematics 87:5, pages 1057-1065.
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Articles from other publishers (34)
Prosper Torsu. (2020) On variational iterative methods for semilinear problems. Computers & Mathematics with Applications 80:5, pages 1164-1175.
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Saud Owyed, M.A. Abdou, Abdel-Haleem Abdel-Aty, W. Alharbi & Ramzi Nekhili. (2020) Numerical and approximate solutions for coupled time fractional nonlinear evolutions equations via reduced differential transform method. Chaos, Solitons & Fractals 131, pages 109474.
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Syed Ahmed Pasha, Yasir Nawaz & Muhammad Shoaib Arif. (2018) The modified homotopy perturbation method with an auxiliary term for the nonlinear oscillator with discontinuity. Journal of Low Frequency Noise, Vibration and Active Control 38:3-4, pages 1363-1373.
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Der-Chen Chang & Sheng-Ya Feng. (2016) Periodic solutions for Hamiltonian equation associated with Gaussian potential. Analysis and Mathematical Physics 7:4, pages 459-477.
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Soheil Ganjefar & Sara Rezaei. (2016) Modified homotopy perturbation method for optimal control problems using the Padé approximant. Applied Mathematical Modelling 40:15-16, pages 7062-7081.
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Guanglu Zhou & Boying Wu. (2014) Application of the homotopy perturbation method to an inverse heat problem. International Journal of Numerical Methods for Heat & Fluid Flow 24:6, pages 1331-1337.
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Sushila, Jagdev Singh & Y.S. Shishodia. (2014) A reliable approach for two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability using sumudu transform. Ain Shams Engineering Journal 5:1, pages 237-242.
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Mohamed S. Mohamed, Khaled A. Gepreel, Faisal A. Al-Malki & Nouf Altalhi. (2014) Extension of Khan’s Homotopy Transformation Method via Optimal Parameter for Differential Difference Equations. Journal of Applied Mathematics 2014, pages 1-8.
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Devendra Kumar, Jagdev Singh & A. Kılıçman. (2013) An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform. Abstract and Applied Analysis 2013, pages 1-8.
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L. Cveticanin, M. Kalami-Yazdi & H. Askari. (2012) Analytical approximations to the solutions for a generalized oscillator with strong nonlinear terms. Journal of Engineering Mathematics 77:1, pages 211-223.
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M. Zare, O. Jalili & M. Delshadmanesh. (2012) Two binary stars gravitational waves: homotopy perturbation method. Indian Journal of Physics 86:10, pages 855-858.
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Sh. S. Behzadi, T. Allahviranloo & S. Abbasbandy. (2012) Solving fuzzy second-order nonlinear Volterra–Fredholm integro-differential equations by using Picard method. Neural Computing and Applications 21:S1, pages 337-346.
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AHMET YILDIRIM & HÜSEYIN KOÇAK. (2012) AN EFFICIENT TECHNIQUE FOR SOLVING THE BLASZAK–MARCINIAK LATTICE BY COMBINING HOMOTOPY PERTURBATION AND PADÉ TECHNIQUES. International Journal of Computational Methods 09:02, pages 1240024.
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Ahmet Yıldırım & Hüseyin Koçak. (2012) Rational approximation solution of the foam drainage equation with time‐ and space‐fractional derivatives. International Journal of Numerical Methods for Heat & Fluid Flow 22:4, pages 512-525.
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S. T. Mohyud-Din & A. Yıldırım. (2012) An algorithm for solving the fractional vibration equation. Computational Mathematics and Modeling 23:2, pages 228-237.
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Mohammad Madani, Yasir Khan, Mahdi Fathizadeh & Ahmet Yildirim. (2012) Application of homotopy perturbation and numerical methods to the magneto‐micropolar fluid flow in the presence of radiation. Engineering Computations 29:3, pages 277-294.
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Ji-Huan He, S. K. Elagan & Guo-Cheng Wu. (2012) Solitary-Solution Formulation for Differential-Difference Equations Using an Ancient Chinese Algorithm. Abstract and Applied Analysis 2012, pages 1-6.
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Reza Mokhtari, Fereshteh Toutian Isfahani & Maryam Mohammadi. (2012) Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations. Abstract and Applied Analysis 2012, pages 1-10.
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Héctor Vázquez-Leal, Uriel Filobello-Niño, Roberto Castañeda-Sheissa, Luis Hernández-Martínez & Arturo Sarmiento-Reyes. (2012) Modified HPMs Inspired by Homotopy Continuation Methods. Mathematical Problems in Engineering 2012, pages 1-19.
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AHMET YILDIRIM & HÜSEYIN KOÇAK. (2012) AN ANALYTICAL APPROACH TO TRANSMISSION DYNAMICS OF INFECTIOUS DISEASES WITH WANING IMMUNITY. Journal of Mechanics in Medicine and Biology 11:04, pages 929-940.
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Ahmet Yıldırım, Sefa Anıl Sezer & Yasemin Kaplan. (2011) Analytical approach to Boussinesq equation with space‐ and time‐fractional derivatives. International Journal for Numerical Methods in Fluids 66:10, pages 1315-1324.
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Sefa Anıl Sezer, Ahmet Yıldırım & Syed Tauseef Mohyud‐Din. (2011) He's homotopy perturbation method for solving the fractional KdV‐Burgers‐Kuramoto equation. International Journal of Numerical Methods for Heat & Fluid Flow 21:4, pages 448-458.
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Syed Tauseef Mohyud‐Din, Ahmet Yildirim & Gülseren Demirli. (2011)
Analytical solution of wave system in R
n
with coupling controllers
. International Journal of Numerical Methods for Heat & Fluid Flow 21:2, pages 198-205.
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Ahmet Yıldırım & Yağmur Gülkanat. (2011)
Homotopy perturbation method to obtain new solitary solutions with compact support for Boussinesq‐like
B
(2
n
, 2
n
) equations with fully nonlinear dispersion
. International Journal for Numerical Methods in Fluids 65:6, pages 699-706.
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Ahmet Yıldırım & Alev Kelleci. (2010) Homotopy perturbation method for numerical solutions of coupled Burgers equations with time‐ and space‐fractional derivatives. International Journal of Numerical Methods for Heat & Fluid Flow 20:8, pages 897-909.
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Ahmet Yıldırım. (2010) Analytical approach to Fokker–Planck equation with space- and time-fractional derivatives by means of the homotopy perturbation method. Journal of King Saud University - Science 22:4, pages 257-264.
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I˙nan Ates¸ & Ahmet Yıldırım. (2010) Applications of variational iteration and homotopy perturbation methods to obtain exact solutions for time‐fractional diffusion‐wave equations. International Journal of Numerical Methods for Heat & Fluid Flow 20:6, pages 638-654.
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Syed Tauseef Mohyud-Din, Ahmet Yıldırım & Gülseren Demirli. (2010) Traveling wave solutions of Whitham–Broer–Kaup equations by homotopy perturbation method. Journal of King Saud University - Science 22:3, pages 173-176.
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Hüseyin Koçak, Turgut Öziş & Ahmet Yıldırım. (2010)
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, pages 174-185.
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M.A. El-Gebeily, Donal O’Regan & J.J. Nieto. (2010) A monotone iterative technique for stationary and time dependent problems in Banach spaces. Journal of Computational and Applied Mathematics 233:9, pages 2395-2404.
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Ahmet Yıldırım & Hüseyin Koçak. (2009) Homotopy perturbation method for solving the space–time fractional advection–dispersion equation. Advances in Water Resources 32:12, pages 1711-1716.
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Hüseyin Koçak & Ahmet Yıldırım. (2009) Series solution for a delay differential equation arising in electrodynamics. Communications in Numerical Methods in Engineering 25:11, pages 1084-1096.
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Ahmet Yıldırım & Yves Cherruault. (2009) Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method. Kybernetes 38:9, pages 1566-1575.
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Hüseyin Koçak & Ahmet Yıldırım. (2009) Numerical solution of 3D Green's function for the dynamic system of anisotropic elasticity. Physics Letters A 373:35, pages 3145-3150.
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