Results 21 to 30 of about 29,425,986 (162)

Solving the convection–diffusion equation by means of the optimal q-homotopy analysis method (Oq-HAM)

open access: yesResults in Physics, 2016
The main aim of this paper is to propose a new and simple algorithm namely the optimal q-homotopy analysis method (Oq-HAM), to obtain approximate analytical solutions of the convection diffusion (CD) equation.
Mohamed S. Mohamed, Yasser S. Hamed
doaj   +1 more source

Solve the Initial Value Problems of Fractional Order Using The Homotopy Analytical Method and Improve Them Using Pade' Approximations [PDF]

open access: yesمجلة التربية والعلم, 2019
In this research , the initial value problems of the caputo- fractional order are solved using the homotopy analysis method. The Pade' approximation is added to the fractional order to improve this method.
Heba Mahmmood, Kais Ibraheem
doaj   +1 more source

Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations

open access: yesWalailak 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

Probing Homotopy Continuation Method for Solving Nonlinear Magnetic Network Equations

open access: yesIEEE Access, 2021
Nonlinear magnetic network is an effective model to solve the magnetic field of the motor. For the strong nonlinearity of magnetic network parameters, it is difficult to solve the nonlinear magnetic network equations.
Peipei Yang   +3 more
doaj   +1 more source

Some Remarks on the Homotopy-Analysis Method and Series Solutions to the Blasius Equation [PDF]

open access: yes, 2013
We present an new angle on the introduction of the homotopy-analysis method of Liao [6]. The homotopy-analysis method is then applied to produce a series solution of the Blasius problem in two different ways and comparison made with the work of Wang [7],
Robin, William
core   +1 more source

Explicit Solutions to Large Deformation of Cantilever Beams by Improved Homotopy Analysis Method I: Rotation Angle

open access: yesApplied Sciences, 2022
An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li   +3 more
doaj   +1 more source

The homotopy type of the polyhedral product for shifted complexes [PDF]

open access: yes, 2013
We prove a conjecture of Bahri, Bendersky, Cohen and Gitler: if K is a shifted simplicial complex on n vertices,X1,...,Xn are pointed connected CW-complexes and CXi is the cone on Xi, then the polyhedral product determined by K and the pairs (C Xi , Xi )
Theriault, Stephen, Grbić, Jelena
core   +1 more source

Rigidity and exotic models for the K-local stable homotopy category [PDF]

open access: yes, 2007
Can the model structure of a stable model category be recovered from the triangulated structure of its homotopy category? This paper introduces a new positive example for this, namely the K-local stable homotopy at the prime 2.
Roitzheim, C., Roitzheim, Constanze
core   +1 more source

Unsteady time-dependent incompressible Newtonian fluid flow between two parallel plates by homotopy analysis method (HAM), homotopy perturbation method (HPM) and collocation method (CM)

open access: yesPropulsion and Power Research, 2018
Analytical and numerical analyses have performed to study the problem of the flow of incompressible Newtonian fluid between two parallel plates approaching or receding from each other symmetrically.
M.R. Shirkhani   +4 more
doaj   +1 more source

Homotopy Analysis Method for Time-Fractional Schrödinger Equations

open access: yesWalailak Journal of Science and Technology, 2012
The Homotopy Analysis Method (HAM) is applied to tackle time-fractional Schrödinger equations. The proposed technique is fully compatible with the complexity of these problems and obtained results are highly encouraging.
Nauman ASGHAR   +3 more
doaj   +1 more source

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