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Ahmet Yildirim
Researcher at Ege University
Publications - 293
Citations - 8000
Ahmet Yildirim is an academic researcher from Ege University. The author has contributed to research in topics: Homotopy analysis method & Nonlinear system. The author has an hindex of 48, co-authored 287 publications receiving 7324 citations. Previous affiliations of Ahmet Yildirim include Islamic Azad University & University of South Florida.
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Solutions of singular IVPs of Lane–Emden type by homotopy perturbation method
Ahmet Yildirim,Turgut Öziş +1 more
TL;DR: In this article, a new scheme, deduced from He's homotopy perturbation method, is presented for solving Lane-Emden type singular IVPs problem, and only a few terms are required to obtain accurate computable solutions.
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A Comparative Study of He's Homotopy Perturbation Method for Determining Frequency-amplitude Relation of a Nonlinear Oscillator with Discontinuities
Turgut Öziş,Ahmet Yildirim +1 more
TL;DR: In this paper, the authors compare two distinct adaptations of He's homotopy perturbation method (HPM) for determining frequency-amplitude relation of the nonlinear oscillator with discontinuities.
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Solutions of singular IVPs of Lane–Emden type by the variational iteration method
Ahmet Yildirim,Turgut Öziş +1 more
TL;DR: In this article, approximate-exact solutions of a class of Lane-Emden type singular IVPs problems, by the variational iteration method, are presented, which yields solutions in the forms of convergent series with easily calculable terms.
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On the coupling of the homotopy perturbation method and Laplace transformation
TL;DR: The approximate solutions obtained by means of LHPM in a wide range of the problem's domain were compared with those results obtained from the actual solutions, the Homotopy Perturbation Method (HPM) and the finite element method and shows a precise agreement between the results.
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Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method
TL;DR: The homotopy perturbation method is applied to solve both linear and nonlinear boundary value problems for fourth-order integro-differential equations and shows that it is of high accuracy, more convenient and efficient for solving Integro- differential equations.