Results 71 to 80 of about 2,716 (179)

Convergence of the homotopy analysis method

, 2010
The homotopy analysis method is studied in the present paper. The question of convergence of the homotopy analysis method is resolved. It is proven that under a special constraint the homotopy analysis method does converge to the exact solution of the sought solution of nonlinear ordinary or partial differential equations.
openaire   +2 more sources

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

Analysis of various semi-numerical schemes for magnetohydrodynamic (MHD) squeezing fluid flow in porous medium

Propulsion and Power Research, 2019
In this article comparative analysis of various semi-numerical schemes has been made for the case of squeezing flow of an incompressible viscous fluid between two large parallel plates having no-slip at the boundaries.
Inayat Ullah, M.T. Rahim, Hamid Khan, Mubashir Qayyum   +3 more
doaj   +1 more source

Coiflet Wavelet-Homotopy Solution of Channel Flow due to Orthogonally Moving Porous Walls Governed by the Navier–Stokes Equations

Journal of Mathematics, 2020
A newly computational method based on the Coiflet wavelet and homotopy analysis method is developed, which inherits the great nonlinear treatment of the homotopy analysis technique and the local high-precision capability of the wavelet approach, to give ...
Qing-Bo Chen, Hang Xu
doaj   +1 more source

Approximate Representations of Shaped Pulses Using the Homotopy Analysis Method. [PDF]

Magn Reson (Gott), 2021
Crawley T, Palmer AG.
europepmc   +1 more source

Numerical approximation of Newell-Whitehead-Segel equation of fractional order

Nonlinear Engineering, 2016
The aim of the present work is to propose a user friendly approach based on homotopy analysis method combined with Sumudu transform method to drive analytical and numerical solutions of the fractional Newell-Whitehead-Segel amplitude equation which ...
Kumar Devendra, Sharma Ram Prakash
doaj   +1 more source

Static analysis of composite beams on variable stiffness elastic foundations by the Homotopy Analysis Method. [PDF]

Acta Mech, 2021
Doeva O, Masjedi PK, Weaver PM.
europepmc   +1 more source

Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

Abstract and Applied Analysis, 2014
We demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM)
Mustafa Inc, Ali Akgül
doaj   +1 more source

Homotopy Perturbation Method For Fractional Shallow Water Equations

Sultan Qaboos University Journal for Science, 2014
In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations. The fractional derivatives are described in the Caputo sense.
Kamel Al-Khaled, M. K. Al-Safeen
doaj   +1 more source

Homotopy Analysis Method Based on Optimal Value of the Convergence Control Parameter for Solving Semi-Differential Equations

Journal of Mathematical Extension, 2011
In this paper, homotopy analysis method is directly extended to investigate nth order semi-differential equations and to derive their numerical solutions which is introduced by replacing some integer-order space derivatives by fractional derivatives ...
H. Hosseini Fadravi∗, H. Saberi Nik, R. Buzhabadi   +2 more
doaj