Comments on Homotopy Perturbation Method for Solving Reaction-Diffusion Equations [PDF]
, 2012 The paper entitled Homotopy perturbation method for solving reaction diffussion equation contains some mistakes and misinterpretations along with a false conclusion. Applying the homotopy perturbation method (HPM) in an incorrect manner, the authors have
Aslanov, Afgan
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Homotopy Perturbation Method for Solving Fokker-Planck Equation
مجلة علوم ذي قار, 2019 In this paper, linear and nonlinear Fokker-Planck equations and some similar equations by using homotopy perturbation method are solved. Some examples are solved by homotopy perturbation method to illustrate the simplicity and reliability of this method.
Jehan M. Khudhir
doaj
Analytic study for fractional coupled Burger’s equations via Sumudu transform method
Nonlinear Engineering, 2018 In this work, we aim to apply a reliable analytic algorithm based on homotopy perturbation Sumudu transform method (HPSTM) to examine the nonlinear time-fractional coupled Burger’s equations.
Prakash Amit +3 more
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Homotopy Perturbation Method for Heat and Mass Transfer in Magnetohydrodynamic Flow [PDF]
, 2012 In this study, an approximate analytical solution of the magnetohydrodynamic natural convection flow and heat generation fluid driven by a continuously moving permeable surface immersed in a fluid-saturated porous medium is obtained using the homotopy ...
Raftari, Behrouz, Yildirim, Ahmet
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Fractional analysis of unsteady squeezing flow of Casson fluid via homotopy perturbation method. [PDF]
Sci Rep, 2022 Qayyum M +7 more
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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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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 for fractional Fornberg–Whitham equation
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Praveen Kumar Gupta, Mithilesh Singh
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Applications of homotopy perturbation method for nonlinear partial differential equations [PDF]
, 2017 Homotopy perturbation method is simply applicable to the different non-linear partial differential equations. In this paper, Drinfeld-Sokolov and Modified Benjamin-Bona-Mahony equations are is studied perturbatively by using homotopy perturbation ...
Mart H.Y., Yildiz G., Daghan D.
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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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