Perturbation Method | List of Frontiers open access articles

Original Research

Published on 13 Jan 2023

Approximate solutions to shallow water wave equations by the homotopy perturbation method coupled with Mohand transform

in Interdisciplinary Physics

Yue Liu
Yanni Zhang
Jing Pang

Frontiers in Physics

doi 10.3389/fphy.2022.1118898

2,729 views
6 citations

Original Research

Published on 20 Oct 2023

Application of homotopy perturbation method to solve a nonlinear mathematical model of depletion of forest resources

in Interdisciplinary Physics

Eerdun Buhe
Muhammad Rafiullah
Dure Jabeen
Naveed Anjum

Frontiers in Physics

doi 10.3389/fphy.2023.1246884

4,126 views
3 citations

Original Research

Published on 27 Apr 2023

The Aboodh transformation-based homotopy perturbation method: new hope for fractional calculus

in Interdisciplinary Physics

Huiqiang Tao
Naveed Anjum
Yong-Ju Yang

Frontiers in Physics

doi 10.3389/fphy.2023.1168795

3,946 views
24 citations

Original Research

Published on 02 Sep 2025

Elzaki homotopy perturbation method for modeling fractional ion-acoustic solitary and shock waves in a non-maxwellian plasma

in Interdisciplinary Physics

Weaam Alhejaili
Adnan Khan
Amnah S. Al-Johani
Samir A. El-Tantawy

Frontiers in Physics

doi 10.3389/fphy.2025.1604640

1,718 views

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Research article

Published on 23 Feb 2021

Inverse design of diffractive optical elements using step-transition perturbation approach

Dong Cheon Kim
Andreas Hermerschmidt
Pavel Dyachenko
Toralf Scharf

Advanced Optical Technologies

doi 10.1515/aot-2020-0046

Original Research

Published on 09 May 2025

Motion control and singular perturbation algorithms for lower limb rehabilitation robots

Yanchun Xie
Anna Wang
Xue Zhao
Yang Jiang
Yao Wu
Hailong Yu

Frontiers in Neurorobotics

doi 10.3389/fnbot.2025.1562519

2,675 views
2 citations

Original Research

Published on 11 Sep 2023

A solution for the neutron diffusion equation in the spherical and hemispherical reactors using the residual power series

in Mathematical Physics

Ahmad El-Ajou
Mohammed Shqair
Ibrahim Ghabar
Aliaa Burqan
Rania Saadeh

Frontiers in Physics

doi 10.3389/fphy.2023.1229142

4,239 views
17 citations

Original Research

Published on 11 Aug 2021

Network Reconstruction in Terms of the Priori Structure Information

in Social Physics

Jia-Qi Fu
Qiang Guo
Kai Yang
Jian-Guo Liu

Frontiers in Physics

doi 10.3389/fphy.2021.732835

2,740 views
5 citations

Methods

Published on 31 Mar 2022

Releasing the Time Step Upper Bound of CFL Stability Condition for the Acoustic Wave Simulation With Model-Order Reduction

in Solid Earth Geophysics

Yingjie Gao
Meng-Hua Zhu
Huai Zhang

Frontiers in Earth Science

doi 10.3389/feart.2022.855015

3,387 views
3 citations

Methods

Published on 13 Jul 2022

Data-Driven Optimization of Transmission Section Limits and Their Adaptability for New Power Systems With High Penetration of Renewable Energy

in Smart Grids

Xiaowei Ma
Xianbo Ke
Chong Ren
Jili Wang

Frontiers in Energy Research

doi 10.3389/fenrg.2022.948595

1,664 views

Original Research

Published on 18 Nov 2013

Time-frequency analysis of short-lasting modulation of EEG induced by TMS during wake, sleep deprivation and sleep

in Brain Imaging and Stimulation

Paolo Manganotti
Emanuela Formaggio
Alessandra Del Felice
Silvia Francesca Storti
Alessandro Zamboni
Alessandra Bertoldo
Antonio Fiaschi
Gianna Maria Toffolo

Frontiers in Human Neuroscience

doi 10.3389/fnhum.2013.00767

10,122 views
34 citations

Original Research

Published on 01 Feb 2023

Approximate analytical solutions for multispecies convection-dispersion transport equation with variable parameters

in Hydrosphere

Manotosh Kumbhakar
Vijay P. Singh

Frontiers in Earth Science

doi 10.3389/feart.2022.1064110

1,881 views
1 citation

Original Research

Published on 09 May 2024

Development of a fully implicit ODE-solver for containment analysis code

in Nuclear Energy

Jun Huang
Jinggang Li
Yinxiang Ma

Frontiers in Energy Research

doi 10.3389/fenrg.2024.1332476

1,276 views

Original Research

Published on 15 Sep 2020

Periodic Solutions of Some Classes of One Dimensional Non-autonomous Equation

in Statistical and Computational Physics

Saima Akram
Allah Nawaz
Nusrat Yasmin
Abdul Ghaffar
Dumitru Baleanu
Kottakkaran Sooppy Nisar

Frontiers in Physics

doi 10.3389/fphy.2020.00264

2,828 views
9 citations

Original Research

Published on 02 Jun 2023

Homotopy perturbation method-based soliton solutions of the time-fractional (2+1)-dimensional Wu–Zhang system describing long dispersive gravity water waves in the ocean

in Interdisciplinary Physics

Mubashir Qayyum
Efaza Ahmad
Syed Tauseef Saeed
Hijaz Ahmad
Sameh Askar

Frontiers in Physics

doi 10.3389/fphy.2023.1178154

2,769 views
39 citations

Brief Research Report

Published on 17 Jun 2022

Competitive Binding of Ozanimod and Other Sphingosine 1-Phosphate Receptor Modulators at Receptor Subtypes 1 and 5

in Translational Pharmacology

Julie V. Selkirk
Andrea Bortolato
Yingzhuo Grace Yan
Nathan Ching
Richard Hargreaves

Frontiers in Pharmacology

doi 10.3389/fphar.2022.892097

9,672 views
16 citations

Articles

Approximate solutions to shallow water wave equations by the homotopy perturbation method coupled with Mohand transform

Application of homotopy perturbation method to solve a nonlinear mathematical model of depletion of forest resources

The Aboodh transformation-based homotopy perturbation method: new hope for fractional calculus

Elzaki homotopy perturbation method for modeling fractional ion-acoustic solitary and shock waves in a non-maxwellian plasma

Inverse design of diffractive optical elements using step-transition perturbation approach

Motion control and singular perturbation algorithms for lower limb rehabilitation robots

A solution for the neutron diffusion equation in the spherical and hemispherical reactors using the residual power series

Network Reconstruction in Terms of the Priori Structure Information

Releasing the Time Step Upper Bound of CFL Stability Condition for the Acoustic Wave Simulation With Model-Order Reduction

Data-Driven Optimization of Transmission Section Limits and Their Adaptability for New Power Systems With High Penetration of Renewable Energy

Time-frequency analysis of short-lasting modulation of EEG induced by TMS during wake, sleep deprivation and sleep

Approximate analytical solutions for multispecies convection-dispersion transport equation with variable parameters

Development of a fully implicit ODE-solver for containment analysis code

Periodic Solutions of Some Classes of One Dimensional Non-autonomous Equation

Homotopy perturbation method-based soliton solutions of the time-fractional (2+1)-dimensional Wu–Zhang system describing long dispersive gravity water waves in the ocean

Competitive Binding of Ozanimod and Other Sphingosine 1-Phosphate Receptor Modulators at Receptor Subtypes 1 and 5