The homotopy type of the polyhedral product for shifted complexes [PDF]
, 2013 We prove a conjecture of Bahri, Bendersky, Cohen and Gitler: if K is a shifted simplicial complex on n vertices,X1,...,Xn are pointed connected CW-complexes and CXi is the cone on Xi, then the polyhedral product determined by K and the pairs (C Xi , Xi )
Theriault, Stephen, Grbić, Jelena
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Abstract and Applied Analysis, 2012 A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations.
Yanqin Liu
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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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Laplace transform-homotopy perturbation method as a powerful tool to solve nonlinear problems with boundary conditions defined on finite intervals [PDF]
, 2013 This article proposes Laplace transform-homotopy perturbation method (LTHPM) to solve nonlinear differential equations with Dirichlet, mixed, and Neumann boundary conditions.
ALEJANDRO DIAZ SANCHEZ
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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 Term [PDF]
, 2012 The two most important steps in application of the homotopy perturbation method are to construct a suitable homotopy equation and to choose a suitable initial guess.
Ji-Huan He
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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
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Homotopy perturbation method for solving hyperbolic partial differential equations [PDF]
, 2008 This paper applies the homotopy perturbation method proposed by Ji-Huan He, to obtain approximate analytic solutions of hyperbolic partial differential equations.The procedure of the method is systematically illustrated.
Biazar, J., Ghazvini, H.
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