Nonlinear Engineering, 2020 In this paper, homotopy perturbation sumudu transform method (HPSTM) is proposed to solve fractional attractor one-dimensional Keller-Segel equations.
Sharma Dinkar +2 more
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Conceptual analysis of the combined effects of vaccination, therapeutic actions, and human subjection to physical constraint in reducing the prevalence of COVID-19 using the homotopy perturbation method. [PDF]
Beni Suef Univ J Basic Appl Sci, 2023 Kolawole MK +4 more
europepmc +1 more source
Homotopy perturbation method with an auxiliary parameter for nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2019 A brief introduction to the development of the homotopy perturbation method is given, and the main milestones are elucidated with more than 90 references.
Dan-Ni Yu, Ji-Huan He, Andres G Garcıa
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Approximate analytical solutions of distributed order fractional Riccati differential equation
Ain Shams Engineering Journal, 2018 In this paper, the combined Laplace transform and new homotopy perturbation method is employed for solving a special class of the distributed order fractional Riccati equation.
Hossein Aminikhah +2 more
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Rational Biparameter Homotopy Perturbation Method and Laplace-Padé Coupled Version
Journal of Applied Mathematics, 2012 The fact that most of the physical phenomena are modelled by nonlinear differential equations underlines the importance of having reliable methods for solving them.
Hector Vazquez-Leal +4 more
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Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems
Abstract and Applied Analysis, 2012 A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems.
Yanqin Liu
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Generalized Abel Inversion Using Homotopy Perturbation Method
Applied Mathematics, 2011 Many problems in physics like reconstruction of the radially distributed emissivity from the line-of-sight projected intensity, the 3-D image reconstruction from cone beam projections in computerized tomography, etc. lead naturally, in the case of radial symmetry, to the study of Abel’s type integral equation. Obtaining the physically relevant quantity
Sunil Kumar, Om P. Singh, Sandeep Dixit
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Enhanced Multistage Homotopy Perturbation Method: Approximate Solutions of Nonlinear Dynamic Systems
Abstract and Applied Analysis, 2014 We introduce a new approach called the enhanced multistage homotopy perturbation method (EMHPM) that is based on the homotopy perturbation method (HPM) and the usage of time subintervals to find the approximate solution of differential equations with ...
Daniel Olvera, Alex Elías-Zúñiga
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Nonlinear Engineering, 2018 In present work, nonlinear fractional partial differential equations namely transport equation and Fokker-Planck equation involving local fractional differential operators, are investigated by means of the local fractional homotopy perturbation Sumudu ...
Prakash Amit, Kaur Hardish
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Laplace homotopy perturbation method for Burgers equation with space- and time-fractional order
Open Physics, 2016 The fractional Burgers equation describes the physical processes of unidirectional propagation of weakly nonlinear acoustic waves through a gas-filled pipe.
Johnston S. J. +4 more
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