Results 141 to 150 of about 2,759 (180)
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Comparison between homotopy analysis method and homotopy renormalization method in fluid mechanics
European Journal of Mechanics - B/Fluids, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Yu, Liao, Shijun
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A study on homotopy analysis method and clique polynomial method
2021Summary: This paper generated the novel approach called the Clique polynomial method (CPM) using the clique polynomials raised in graph theory. Nonlinear initial value problems are converted into nonlinear algebraic equations by discretion with suitable grid points in the current approach.
S, Kumbinarasaiah, M. P, Preetham
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International Journal of Computer Mathematics, 2010
In this paper, the approximate analytical solutions of the mathematical model of vibration equation with fractional-order time derivative β ...
Subir Das, Praveen Kumar Gupta
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In this paper, the approximate analytical solutions of the mathematical model of vibration equation with fractional-order time derivative β ...
Subir Das, Praveen Kumar Gupta
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Shooting homotopy analysis method
Engineering Computations, 2017Purpose The purpose of this paper is to present a new method based on the homotopy analysis method (HAM) with the aim of fast searching and calculating multiple solutions of nonlinear boundary value problems (NBVPs). Design/methodology/approach A major problem with the previously modified HAM, namely, predictor homotopy analysis method, which is ...
L. Ahmad Soltani +2 more
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Application of Homotopy Analysis Method in Nonlinear Oscillations
Journal of Applied Mechanics, 1998In this paper, we apply a new analytical technique for nonlinear problems, namely the Homotopy Analysis Method (Liao 1992a), to give two-period formulas for oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. These two formulas are uniformly valid for any possible amplitudes of oscillation.
Chwang, AT, Liao, SJ
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A study on the convergence of homotopy analysis method
Applied Mathematics and Computation, 2010The author first briefly reviews the homotopy analysis method of [\textit{S. J. Liao}, Beyond perturbation: Introduction to the homotopy analysis method. CRC Series: Modern Mechanics and Mathematics. Boca Raton, FL: Chapman and Hall/CRC. (2004; Zbl 1051.76001)].
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Communications in Nonlinear Science and Numerical Simulation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Songxin, Jeffrey, David J.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Songxin, Jeffrey, David J.
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The improved homotopy analysis method for the Thomas–Fermi equation
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yinlong Zhao +3 more
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On two new applications of the homotopy analysis method and the homotopy perturbation method
Physica Scripta, 2010We discuss two recent applications of the homotopy analysis method and the homotopy perturbation method and conclude that the results are of no physical or mathematical utility at all.
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2017
In this chapter, the analytic solution of nonlinear partial differential equations arising in heat transfer is obtained using the newly developed analytic method, namely the Homotopy Analysis Method (HAM). The homotopy analysis method provides us with a new way to obtain series solutions of such problems.
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In this chapter, the analytic solution of nonlinear partial differential equations arising in heat transfer is obtained using the newly developed analytic method, namely the Homotopy Analysis Method (HAM). The homotopy analysis method provides us with a new way to obtain series solutions of such problems.
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