H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 90 Citations 45,958 237 World Ranking 32 National Ranking 1

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Composite material

Mathematical analysis, Nonlinear system, Homotopy analysis method, Applied mathematics and Perturbation are his primary areas of study. His research in Mathematical analysis intersects with topics in Iterative method and Nonlinear oscillators. Interpolation is closely connected to Approximate solution in his research, which is encompassed under the umbrella topic of Nonlinear system.

He has researched Homotopy analysis method in several fields, including Singular perturbation, Poincaré–Lindstedt method, n-connected and Homotopy perturbation method. Ji-Huan He combines subjects such as Power iteration, Fixed-point iteration, Variational iteration method and Exponential function with his study of Applied mathematics. Ji-Huan He interconnects Duffing equation and Perturbation method in the investigation of issues within Perturbation.

His most cited work include:

  • Homotopy perturbation technique (2317 citations)
  • Variational iteration method – a kind of non-linear analytical technique: some examples (1930 citations)
  • SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS (1795 citations)

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

The scientist’s investigation covers issues in Mathematical analysis, Nanofiber, Electrospinning, Spinning and Composite material. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Nonlinear system, Homotopy perturbation method and Perturbation. As part of one scientific family, Ji-Huan He deals mainly with the area of Nonlinear system, narrowing it down to issues related to the Applied mathematics, and often Variational iteration method and Simple.

His Homotopy perturbation method research is multidisciplinary, relying on both Nonlinear oscillators, Duffing equation and Homotopy analysis method. His Nanofiber research incorporates elements of Polyvinyl alcohol, Nanoparticle and Polymer. His studies in Electrospinning integrate themes in fields like Nanotechnology, Solvent, Jet, Surface tension and Bubble.

He most often published in these fields:

  • Mathematical analysis (28.38%)
  • Nanofiber (22.67%)
  • Electrospinning (23.81%)

What were the highlights of his more recent work (between 2018-2021)?

  • Fractal (16.76%)
  • Mathematical analysis (28.38%)
  • Applied mathematics (16.19%)

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

Ji-Huan He spends much of his time researching Fractal, Mathematical analysis, Applied mathematics, Nonlinear oscillators and Variational principle. His work on Fractal derivative as part of his general Fractal study is frequently connected to Euler–Lagrange equation, thereby bridging the divide between different branches of science. His research investigates the connection between Mathematical analysis and topics such as Amplitude that intersect with problems in Exponential decay.

His Applied mathematics research incorporates themes from Third order, Taylor series, Nonlinear system, Approximate solution and Numerical analysis. His Nonlinear system research includes themes of Conductor and Differential equation. Ji-Huan He has included themes like Simple, Variational iteration method, Classical mechanics and Homotopy perturbation method in his Nonlinear oscillators study.

Between 2018 and 2021, his most popular works were:

  • Two-scale mathematics and fractional calculus for thermodynamics (122 citations)
  • New promises and future challenges of fractal calculus: From two-scale thermodynamics to fractal variational principle (94 citations)
  • A variational principle for a thin film equation (82 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Composite material

Ji-Huan He mainly focuses on Fractal, Applied mathematics, Variational principle, Mathematical analysis and Nonlinear system. His work in the fields of Fractal, such as Fractal derivative, intersects with other areas such as Imagination. His Applied mathematics research integrates issues from Lagrange multiplier, Nonlinear oscillators, Taylor series and Homotopy perturbation method.

His Homotopy perturbation method study combines topics from a wide range of disciplines, such as Perturbation method and Differential equation. Ji-Huan He is involved in the study of Mathematical analysis that focuses on Space in particular. The Nonlinear system study combines topics in areas such as Vibration and Laplace transform.

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

Variational iteration method – a kind of non-linear analytical technique: some examples

Ji-Huan He.
International Journal of Non-linear Mechanics (1999)

2707 Citations

SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

Ji-Huan He.
International Journal of Modern Physics B (2006)

2443 Citations

Homotopy perturbation technique

Ji-Huan He.
Computer Methods in Applied Mechanics and Engineering (1999)

2381 Citations

A coupling method of a homotopy technique and a perturbation technique for non-linear problems

Ji-Huan He.
International Journal of Non-linear Mechanics (2000)

2139 Citations

Exp-function method for nonlinear wave equations

Ji-Huan He;Xu-Hong Wu.
Chaos Solitons & Fractals (2006)

1937 Citations

Homotopy perturbation method: a new nonlinear analytical technique

Ji-Huan He.
Applied Mathematics and Computation (2003)

1666 Citations

Approximate analytical solution for seepage flow with fractional derivatives in porous media

Ji-Huan He.
Computer Methods in Applied Mechanics and Engineering (1998)

1392 Citations

Application of homotopy perturbation method to nonlinear wave equations

Ji-Huan He.
Chaos Solitons & Fractals (2005)

1331 Citations

Variational iteration method for autonomous ordinary differential systems

Ji-Huan He.
Applied Mathematics and Computation (2000)

1249 Citations

HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

Ji-Huan He.
Physics Letters A (2006)

1244 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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