H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 55 Citations 7,810 273 World Ranking 382 National Ranking 3

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Surgery
  • Quantum mechanics

The scientist’s investigation covers issues in Mathematical analysis, Homotopy analysis method, Homotopy perturbation method, Nonlinear system and Fractional calculus. His studies in Mathematical analysis integrate themes in fields like Work and Variational iteration method. His Homotopy analysis method study combines topics from a wide range of disciplines, such as Flow, Fokker–Planck equation, Spacetime and Poincaré–Lindstedt method.

He has researched Homotopy perturbation method in several fields, including Korteweg–de Vries equation, Traveling wave, Simple, Nonlinear oscillators and Classification of discontinuities. His Nonlinear system research entails a greater understanding of Quantum mechanics. Ahmet Yildirim interconnects Second derivative, Burgers' equation, Time derivative and Convergent series in the investigation of issues within Fractional calculus.

His most cited work include:

  • Solutions of singular IVPs of Lane–Emden type by homotopy perturbation method (168 citations)
  • A Comparative Study of He's Homotopy Perturbation Method for Determining Frequency-amplitude Relation of a Nonlinear Oscillator with Discontinuities (165 citations)
  • Solutions of singular IVPs of Lane–Emden type by the variational iteration method (131 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Mathematical analysis, Nonlinear system, Homotopy analysis method, Homotopy perturbation method and Applied mathematics. His research in Differential equation, Partial differential equation, Fractional calculus, Series and Padé approximant are components of Mathematical analysis. His study in Adomian decomposition method, Variational iteration method and Linearization falls under the purview of Nonlinear system.

Ahmet Yildirim works mostly in the field of Homotopy analysis method, limiting it down to topics relating to Numerical partial differential equations and, in certain cases, Stochastic partial differential equation, as a part of the same area of interest. Ahmet Yildirim connects Homotopy perturbation method with Reliability in his study. His Applied mathematics research incorporates themes from Mathematical optimization and Boundary value problem.

He most often published in these fields:

  • Mathematical analysis (55.56%)
  • Nonlinear system (32.58%)
  • Homotopy analysis method (26.26%)

What were the highlights of his more recent work (between 2017-2021)?

  • Applied mathematics (18.43%)
  • Surgery (7.83%)
  • Anesthesia (2.02%)

In recent papers he was focusing on the following fields of study:

His primary areas of investigation include Applied mathematics, Surgery, Anesthesia, Fractional calculus and Cellular network. The Applied mathematics study combines topics in areas such as Order, Benjamin–Ono equation, Convergence, Differential and Nonlinear system. His Order study combines topics in areas such as Harmonic balance, Nonlinear oscillators, Iterative method and Homotopy perturbation method.

His specific area of interest is Nonlinear system, where Ahmet Yildirim studies Algebraic equation. His Ankle, Arthroscopy and Ulnar collateral ligament injury study, which is part of a larger body of work in Surgery, is frequently linked to In patient, bridging the gap between disciplines. His work carried out in the field of Fractional calculus brings together such families of science as Integral transform and Order.

Between 2017 and 2021, his most popular works were:

  • Chaos in a calcium oscillation model via Atangana-Baleanu operator with strong memory (35 citations)
  • Fractional Treatment of Vibration Equation Through Modern Analogy of Fractional Differentiations Using Integral Transforms (22 citations)
  • Resveratrol inhibits Src tyrosine kinase, STAT3, and Wnt signaling pathway in collagen induced arthritis model. (13 citations)

In his most recent research, the most cited papers focused on:

  • Surgery
  • Quantum mechanics
  • Mathematical analysis

Ahmet Yildirim focuses on Applied mathematics, Fractional calculus, Operator, Anesthesia and Epidemic model. His Applied mathematics research is multidisciplinary, relying on both Algebraic equation and Nonlinear system. Ahmet Yildirim has included themes like Simple, Restoring force, Energy balance and Harmonic in his Algebraic equation study.

His work investigates the relationship between Nonlinear system and topics such as Power series that intersect with problems in Partial differential equation. The study incorporates disciplines such as Integral transform, Deposition, Order, Volumetric flow rate and Power station in addition to Fractional calculus. His studies deal with areas such as Facial paralysis, Statistical significance and Facial nerve as well as Anesthesia.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

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

Ahmet Yıldırım;Turgut Öziş.
Physics Letters A (2007)

231 Citations

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

Turgut Öziş;Ahmet Yıldırım.
International Journal of Nonlinear Sciences and Numerical Simulation (2007)

221 Citations

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

Ahmet Yıldırım;Turgut Öziş.
Nonlinear Analysis-theory Methods & Applications (2009)

179 Citations

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

Turgut Öziş;Ahmet Yıldırım.
International Journal of Nonlinear Sciences and Numerical Simulation (2007)

160 Citations

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

Ahmet Yıldırım.
Computers & Mathematics With Applications (2008)

158 Citations

On the coupling of the homotopy perturbation method and Laplace transformation

Mohammad Madani;Mahdi Fathizadeh;Yasir Khan;Ahmet Yildirim.
Mathematical and Computer Modelling (2011)

155 Citations

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

Ahmet Yildirim.
International Journal of Nonlinear Sciences and Numerical Simulation (2009)

152 Citations

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.
Computers & Mathematics With Applications (2011)

136 Citations

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

Ahmet Yıldırım;Hüseyin Koçak.
Advances in Water Resources (2009)

135 Citations

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

M. Sheikholeslami;H.R. Ashorynejad;D.D. Ganji;A. Yıldırım.
Scientia Iranica (2012)

122 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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