The Application of the Homotopy Perturbation Method and theHomotopy Analysis Method to the Generalized Zakharov Equations [PDF]
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. The homotopy perturbation method is proposed for solving the generalized Zakharov equations.
Zedan, Hassan A., El Adrous, Eman
openaire +3 more sources
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
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
core
Homotopy perturbation method for solving sixth-order boundary value problems [PDF]
, 2008 In this paper, we apply the homotopy perturbation method for solving the sixth-order boundary value problems by reformulating them as an equivalent system of integral equations.
Mohyud-Din, Syed Tauseef +1 more
core +1 more source
A study of the eigenvalue sensitivity by homotopy and perturbation methods
Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Sliva +3 more
openaire +3 more sources
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRAL EQUATIONS [PDF]
, 2010 This paper proposes a modified homotopy perturbation method to solve Fredholm and Volterra integral equations. Comparison of the obtained results with those obtained by the standard homotopy perturbation method shows that the proposed method is very ...
JAFAR SABERI-NADJAFI +1 more
core +1 more source
Application of homotopy perturbation method to the radial thrust problem [PDF]
, 2022 The dynamics of a spacecraft propelled by a continuous radial thrust resembles that of a nonlinear oscillator. This is analyzed in this work with a novel method that combines the definition of a suitable homotopy with a classical perturbation approach ...
mengali g, quarta a, niccolai l
core +1 more source
On the coupling of the homotopy perturbation method and Laplace transformation
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Madani +3 more
openaire +3 more sources
Application of Homotopy Perturbation Method for Ecosystems Modelling [PDF]
, 2009 The HPM method can be considered as one of the new methods belonging to the general classification of perturbation methods. These methods deals with exact solvers for linear differential equations and approximative solvers for non linear equations. In this paper, we focus our attention on the generation of the decomposition steps to build a solver ...
Odibat, Zaid, Bertelle, Cyrille
openaire +4 more sources