Results 1 to 10 of about 4,171 (232)
A Study on Homotopy Analysis Method and Clique Polynomial Method [PDF]
, 2021 Summary: 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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An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method [PDF]
Heliyon, 2019 In this paper, an approximate analytical solution of the bistable Allen–Cahn equation is given. The Allen–Cahn equation is a mathematical model to study the phase separation process in binary alloys and emerged as a convection-diffusion equation in fluid
Safdar Hussain +3 more
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Homotopy Analysis Method for Ablowitz–Ladik Lattice [PDF]
Zeitschrift für Naturforschung A, 2011 In this paper, the homotopy analysis method is successfully applied to solve the systems of differential-difference equations. The Ablowitz-Ladik lattice system are chosen to illustrate the method. Comparisons between the results of the proposed method and exact solutions reveal that the homotopy analysis method is very effective and simple in solving ...
Y.C. Hon, Engui Fan, Qi Wang
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Homotopy Analysis Method for Time-Fractional Schrödinger Equations
Walailak Journal of Science and Technology, 2012 The Homotopy Analysis Method (HAM) is applied to tackle time-fractional Schrödinger equations. The proposed technique is fully compatible with the complexity of these problems and obtained results are highly encouraging.
Nauman ASGHAR +3 more
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The homotopy analysis method for q-difference equations
Ain Shams Engineering Journal, 2018 The q-difference equations are kind of important problems in q-calculus and applied mathematics. In this paper, the homotopy analysis method is extended to find approximate solution for some of q-differential equations.
Mourad S. Semary, Hany N. Hassan
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Homotopy analysis method for solving KdV equations [PDF]
Surveys in Mathematics and its Applications, 2010 A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach.
Hossein Jafari, M. A. Firoozjaee
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The convergence study of the homotopy analysis method for solving nonlinear Volterra-Fredholm integrodifferential equations. [PDF]
ScientificWorldJournal, 2014 Ghanbari B.
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Heliyon, 2022 In this paper, the homotopy analysis method, a powerful analytical technique, is applied to obtain analytical solutions to the Fisher-KPP equation in studying the spatial spreading of invasive species in ecology and to extract the nature of the spatial ...
Gour Chandra Paul +2 more
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Desimal, 2021 The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations ...
Atika Faradilla +3 more
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Evaluation of fractional-order equal width equations with the exponential-decay kernel
AIMS Mathematics, 2022 In this article we consider the homotopy perturbation transform method to investigate the fractional-order equal-width equations. The homotopy perturbation transform method is a mixture of the homotopy perturbation method and the Yang transform.
Manal Alqhtani +4 more
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