Results 91 to 100 of about 29,620,228 (168)
The Scientific World Journal, 2014 We aim to study the convergence of the homotopy analysis method (HAM in short) for solving special nonlinear Volterra-Fredholm integrodifferential equations. The sufficient condition for the convergence of the method is briefly addressed.
Behzad Ghanbari
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International Journal of Differential Equations, 2018 The approximate analytical solution of the fractional Cahn-Hilliard and Gardner equations has been acquired successfully via residual power series method (RPSM).
Anas Arafa, Ghada Elmahdy
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Modified multi-frequency homotopy analysis method for evolution equations
, 2017 International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 19-25, 2016 -- Rhodes, GREECEA new modification of homotopy analysis method (HAM) is considered for nonlinear evaluation equations. The auxiliary differential operator
Zehra Pınar, Pınar, Zehra
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Enhanced Multistage Homotopy Perturbation Method: Approximate Solutions of Nonlinear Dynamic Systems
Abstract and Applied Analysis, 2014 We introduce a new approach called the enhanced multistage homotopy perturbation method (EMHPM) that is based on the homotopy perturbation method (HPM) and the usage of time subintervals to find the approximate solution of differential equations with ...
Daniel Olvera, Alex Elías-Zúñiga
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Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM) [PDF]
, 2014 The study of convective heat transfer has generated many interests and become more important recently because of their wide applications in engineering and in several industrial processes.
Daniel, Yahaya Shagaiya
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Application of homotopy analysis method for solving nonlinear Cauchy problem [PDF]
Surveys in Mathematics and its Applications, 2012 In this paper, by means of the homotopy analysis method (HAM), the solutions of some nonlinear Cauchy problem of parabolic-hyperbolic type are exactly obtained in the form of convergent Taylor series.
V.G. Gupta, Sumit Gupta
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A new modification of the homotopy perturbation method [PDF]
, 2010 In this paper, a new modification of the homotopy perturbation method (HPM) is presented and applied to linear ordinary differential equations and nonlinear differential equations. A comparative study between the new modified homotopy perturbation method
Abu Hassan, Malik +4 more
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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).
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Homotopy-Continuation Picard Method [PDF]
, 2013 A coupling between Homotopy Continuation methods and Picard’s Method (HCPM) is proposed to provide an approximate solution to non-linear differential equations (NDE).
Librado Arturo Sarmiento Reyes +1 more
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COARSE VERSION OF HOMOTOPY THEORY (AXIOMATIC STRUCTURE) [PDF]
, 2013 In topology, homotopy theory can be put into an algebraic framework. The most complete such framework is that of a Quillen model Category [[15], [5]]. The usual class of coarse spaces appears to be too small to be a Quillen model category.
Mohamad, Nadia
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