Results 31 to 40 of about 3,506 (170)
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
doaj +1 more source
On the application of Liao’s method for solving linear systems
Ain Shams Engineering Journal, 2013 In this paper, an analytical attitude is proposed for solving linear systems by Homotopy Analysis Method (HAM). On the basis of HAM we design new iterative methods. The convergence properties of the proposed method have been analyzed.
H. Saberi Najafi, S.A. Edalatpanah
doaj +1 more source
Engineering Science and Technology, an International Journal, 2019 Magnetohydrodynamic (MHD) flow due to a nonlinearly stretching sheet acting on non-Newtonian Eyring-Powell fluids inside a Darcy-Forchheimer porous medium is studied. Energy equation is considered subject to 1- Prescribed Surface Temperature 2- Prescribed Surface Heat Flux, both of which with radiation consideration.
openaire +2 more sources
On the Limiting Stokes' Wave of Extreme Height in Arbitrary Water Depth
, 2018 As mentioned by Schwartz (1974) and Cokelet (1977), it was failed to gain convergent results of limiting Stokes' waves in extremely shallow water by means of perturbation methods even with the aid of extrapolation techniques such as Pad\'{e} approximant.
Liao, Shijun, Zhong, Xiaoxu
core +1 more source
Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 2, March/April 2026.ABSTRACT Hybrid nanofluids, known for their superior thermal and electrical conductivity, have demonstrated remarkable potential in enhancing the heat transfer capability of conventional base fluids. This study analyzes the effects of viscous dissipation and heat radiation on two‐dimensional unsteady incompressible squeezing flow transporting hybrid ...
Hajra Batool +3 more
wiley +1 more source
Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations
Walailak Journal of Science and Technology, 2013 In this paper, we apply Modified Homotopy Analysis Method (MHAM) to find appropriate solutions to Zakharov-Kuznetsov equations, which are of utmost importance in applied and engineering sciences.
Muhammad USMAN +5 more
doaj +1 more source
Engineering Reports, Volume 8, Issue 2, February 2026.This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
wiley +1 more source
Abstract and Applied Analysis, 2012 A modification of homotopy analysis method (HAM) known as spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations.
Z. Pashazadeh Atabakan +2 more
doaj +1 more source
The DNA of Calabi–Yau Hypersurfaces
Fortschritte der Physik, Volume 74, Issue 2, February 2026.Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden +2 more
wiley +1 more source
Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.ABSTRACT The growing need for enhanced thermal regulation is vital in recent advancements such as biomedical engineering, polymer processing, etc. In particular, the non‐Newtonian fluid likely Casson fluid with yield stress is used in these areas because of its ability to prepare biofluids and industrial suspensions effectively.
Bhagyabati Behuria +2 more
wiley +1 more source