Results 51 to 60 of about 33,166 (180)
Advances in Mechanical Engineering, 2017 In this article, dynamical analysis of fractional order Schrödinger equation governing the optical wave propagation is reported in detail. The validity criteria for the application of the semi-analytic asymptotic methods are exploited. Comparison between
Sarmad Arshad +4 more
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Smooth Primal-Dual Coordinate Descent Algorithms for Nonsmooth Convex Optimization [PDF]
, 2017 We propose a new randomized coordinate descent method for a convex optimization template with broad applications. Our analysis relies on a novel combination of four ideas applied to the primal-dual gap function: smoothing, acceleration, homotopy, and ...
Alacaoglu, Ahmet +3 more
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Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method [PDF]
, 2010 In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms.
I. Hashim,, M.S.H. Chowdhury,
core
, 2016 We describe a deterministic algorithm that computes an approximate root of n complex polynomial equations in n unknowns in average polynomial time with respect to the size of the input, in the Blum-Shub-Smale model with square root.
Lairez, Pierre
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Abstract and Applied Analysis, 2012 We introduce two powerful methods to solve the generalized Zakharov equations; one is the homotopy perturbation method and the other is the homotopy analysis method.
Hassan A. Zedan, Eman El Adrous
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Homotopy analysis method for fuzzy Boussinesq equation [PDF]
Mathematical Sciences, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fallahzadeh, Amir +1 more
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HOMOTOPY ANALYSIS METHOD TO SOLVE BOUSSINESQ EQUATIONS
JOURNAL OF ADVANCES IN PHYSICS, 2015 In this paper, Homotopy analysis method is applied to the nonlinear coupleddifferential equations of classical Boussinesq system. We have applied Homotopy analysis method (HAM) for the application problems in [1, 2, 3, 4]. We have also plotted Domb-Sykes plot for the region of convergence.
S B Sathyanarayana +2 more
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New Applications of the Homotopy Analysis Method
Zeitschrift für Naturforschung A, 2008 An analytical technique, namely the homotopy analysis method (HAM), is applied using a computerized symbolic computation to find the approximate and exact solutions of nonlinear evolution equations arising in mathematical physics. The HAM is a strong and easy to use analytic tool for nonlinear problems and does not need small parameters in the ...
Elsayed Abd Elaty Elwakil +1 more
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Differential Equations and Nonlinear Mechanics, 2008 The homotopy analysis method (HAM) is applied to obtain the approximate traveling wave solutions of the coupled Whitham-Broer-Kaup (WBK) equations in shallow water. Comparisons are made between the results of the proposed method and exact solutions.
M. M. Rashidi, D. D. Ganji, S. Dinarvand
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Homotopy analysis transform method for solving Abel’s integral equations of the first kind
Ain Shams Engineering Journal, 2016 In this paper, by combined homotopy analysis method and Laplace transform method, we produce a new powerful method and named homotopy analysis transform method. By using this method, we solve first kind singular integral equations of Abel type. Also, the
Samad Noeiaghdam +2 more
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