Results 61 to 70 of about 835 (135)
Advances in Mathematical Physics, 2019 The motivation of this study is to construct the truncated solution of space-time fractional differential equations by the homotopy analysis method (HAM).
Ali Demir +2 more
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Davey-Stewartson Equation with Fractional Coordinate Derivatives
The Scientific World Journal, 2013 We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense.
H. Jafari +3 more
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Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method
Journal of Applied Mathematics, 2013 Homotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral ...
Aytekin Eryılmaz +3 more
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Study of Convergence of HAM and its Application on the Fokker-Planck Equation
Journal of Mathematical Extension, 2011 . In this paper we prove the convergence of homotopy analysis method (HAM) and present the application of the homotopy analysis method to obtain the exact analytical solution of the Fokker-Planck equation.
M. Matinfar, M. Saeidy
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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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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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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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Tobacco smoking model containing snuffing class. [PDF]
Heliyon, 2023 Padmavathi V +5 more
europepmc +1 more source
Spherical Hybrid Nanoparticles for Homann Stagnation-Point Flow in Porous Media via Homotopy Analysis Method. [PDF]
Nanomaterials (Basel), 2023 You X, Cui J.
europepmc +1 more source