2023 - Research.com Mathematics in China Leader Award
2022 - Research.com Mathematics in China Leader Award
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.
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.
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.
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.
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Variational iteration method – a kind of non-linear analytical technique: some examples
Ji-Huan He.
International Journal of Non-linear Mechanics (1999)
SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
Ji-Huan He.
International Journal of Modern Physics B (2006)
Homotopy perturbation technique
Ji-Huan He.
Computer Methods in Applied Mechanics and Engineering (1999)
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)
Exp-function method for nonlinear wave equations
Ji-Huan He;Xu-Hong Wu.
Chaos Solitons & Fractals (2006)
Homotopy perturbation method: a new nonlinear analytical technique
Ji-Huan He.
Applied Mathematics and Computation (2003)
Approximate analytical solution for seepage flow with fractional derivatives in porous media
Ji-Huan He.
Computer Methods in Applied Mechanics and Engineering (1998)
Application of homotopy perturbation method to nonlinear wave equations
Ji-Huan He.
Chaos Solitons & Fractals (2005)
Variational iteration method for autonomous ordinary differential systems
Ji-Huan He.
Applied Mathematics and Computation (2000)
HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
Ji-Huan He.
Physics Letters A (2006)
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