World's Best Scientists 2026 revealed!
Ahmet Yildirim

Ahmet Yildirim

Award Badge
Mathematics
Turkey
2026

D-Index & Metrics

Mathematics

D-Index
59
Citations
9747
World Ranking
606
National Ranking
3

Research.com Recognitions

  • 2026 - Research.com Mathematics in Turkey Leader Award
  • 2025 - Research.com Mathematics in Turkey Leader Award
  • 2022 - Research.com Mathematics in Turkey Leader Award

Overview

Ahmet Yildirim is affiliated with Ege University in Turkey and has contributed to research primarily in the fields of Engineering and Mathematics. Their work spans several subfields including Modeling and Simulation, Statistical and Nonlinear Physics, Mechanical Engineering, Numerical Analysis, and Computational Mechanics.

The main research topics addressed by Ahmet Yildirim include:

  • Fractional Differential Equations Solutions
  • Iterative Methods for Nonlinear Equations
  • Nonlinear Photonic Systems
  • Nonlinear Waves and Solitons
  • Diabetes Management and Research
  • Advanced Control Systems Design
  • Cellular and Composite Structures

Among the recent publications authored or coauthored by Ahmet Yildirim are:

  • Experimental and numerical investigation of crashworthiness performance for optimal automobile structures using response surface methodology and oppositional based learning differential evolution algorithm, 2023, Materials Testing
  • Biorthogonal multiwavelets on the interval for solving multidimensional fractional optimal control problems with inequality constraint, 2020, Optimal Control Applications and Methods
  • Exploration of some novel solutions to a coupled Schrödinger-KdV equations in the interactions of capillary-gravity waves, 2022, Mathematical sciences
  • A modified harmonic balance method to obtain higher-order approximations to strongly nonlinear oscillators, 2020, Journal of Interdisciplinary Mathematics
  • A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force, 2020, DOAJ (DOAJ: Directory of Open Access Journals)

Frequent publication venues for Ahmet Yildirim include:

  • Computational methods for differential equations
  • Materials Testing
  • Optimal Control Applications and Methods
  • Mathematical sciences
  • Journal of Interdisciplinary Mathematics

Collaborations are a significant part of Ahmet Yildirim's research activities. Common coauthors include Murat Karaoğlan, Md. Alal Hosen, Gamal M. Ismail, Mehmet Keskın, and S R Saratha, with multiple joint works published together.

Best Publications

  • Solutions of singular IVPs of Lane–Emden type by homotopy perturbation method

    Ahmet Yıldırım;Turgut Öziş

  • A Comparative Study of He's Homotopy Perturbation Method for Determining Frequency-amplitude Relation of a Nonlinear Oscillator with Discontinuities

    Turgut Öziş;Ahmet Yıldırım

  • Solutions of singular IVPs of Lane–Emden type by the variational iteration method

    Ahmet Yıldırım;Turgut Öziş

  • On the coupling of the homotopy perturbation method and Laplace transformation

    Mohammad Madani;Mahdi Fathizadeh;Yasir Khan;Ahmet Yildirim

  • The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet

    Yasir Khan;Qingbiao Wu;Naeem Faraz;Ahmet Yildirim

  • Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method

    Ahmet Yıldırım

  • An Algorithm for Solving the Fractional Nonlinear Schrodinger Equation by Means of the Homotopy Perturbation Method

    Ahmet Yildirim

  • Traveling Wave Solution of Korteweg-de Vries Equation using He's Homotopy Perturbation Method

    Turgut Öziş;Ahmet Yıldırım

  • Homotopy perturbation method for solving the space–time fractional advection–dispersion equation

    Ahmet Yıldırım;Hüseyin Koçak

  • Optical Soliton Perturbation with Improved Nonlinear Schrödinger's Equation in Nano Fibers

    Michelle Savescu;Kaisar R. Khan;Russell W. Kohl;Luminita Moraru

  • HOMOTOPY PERTURBATION METHOD FOR THREE-DIMENSIONAL PROBLEM OF CONDENSATION FILM ON INCLINED ROTATING DISK

    M. Sheikholeslami;H.R. Ashorynejad;D.D. Ganji;A. Yıldırım

  • He's homotopy perturbation method for solving the space-and time-fractional telegraph equations

    Ahmet Yıldırım

  • Bright and dark optical solitons in birefringent fibers with Hamiltonian perturbations and Kerr law nonlinearity

    Anjan Biswas;Kaisar Khan;Atiqur Rahman;Ahmet Yildirim

  • An effective modification of the homotopy perturbation method for MHD viscous flow over a stretching sheet

    M. Fathizadeh;M. Madani;Yasir Khan;Naeem Faraz

  • The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets

    Behrouz Raftari;Ahmet Yildirim

  • Application of He's homotopy perturbation method for solving the Cauchy reaction-diffusion problem

    Ahmet Yıldırım

  • Determination of periodic solution for a u1/3 force by He's modified Lindstedt–Poincaré method

    Turgut Öziş;Ahmet Yıldırım

  • A new formula for fractional integrals of Chebyshev polynomials: Application for solving multi-term fractional differential equations

    A.H. Bhrawy;A.H. Bhrawy;M.M. Tharwat;M.M. Tharwat;A. Yildirim

  • Determination of the frequency-amplitude relation for a Duffing-harmonic oscillator by the energy balance method

    Turgut Öziş;Ahmet Yıldırım

  • A note on He’s homotopy perturbation method for van der Pol oscillator with very strong nonlinearity

    Turgut Öziş;Ahmet Yıldırım

Frequent Co-Authors

Syed Tauseef Mohyud-Din
Syed Tauseef Mohyud-Din HITEC University
Yasir Khan
Yasir Khan Zhejiang University
Anjan Biswas
Anjan Biswas Grambling State University
Turgut Öziş
Turgut Öziş Ege University
Ali H. Bhrawy
Ali H. Bhrawy Beni-Suef University
Houria Triki
Houria Triki Badji Mokhtar University
Shaher Momani
Shaher Momani University of Jordan
Tasawar Hayat
Tasawar Hayat Quaid-i-Azam University
M.A. Abdou
M.A. Abdou Mansoura University
Davood Younesian
Davood Younesian Iran University of Science and Technology

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Exploring related online degrees can open diverse career opportunities for Mathematics graduates in the USA. For those interested in business management, the easiest mba specialization offers a manageable transition, particularly for professionals aiming to blend analytical skills with leadership roles.

Additionally, pursuing easy online mba programs can provide flexibility without compromising quality, allowing students to enhance their credentials alongside full-time commitments.

For those focused on higher academic and administrative roles, affordable options such as the cheapest online dba programs can empower candidates to advance their expertise cost-effectively.

Finally, if finance is a career interest, enrolling in the cheapest online master's in finance enables students to integrate quantitative skills with financial knowledge, broadening their professional scope in sectors like banking and investment.

Best Scientists Citing Ahmet Yildirim

Trending Scientists