Results 81 to 90 of about 33,166 (180)

Homotopy analysis method for stochastic differential equations

, 2014
The homotopy analysis method known from its successful applications to obtain quasi-analytical approximations of solutions of ordinary and partial differential equations is applied to stochastic differential equations with Gaussian stochastic forces and to the Fokker-Planck equations.
Janowicz, Maciej, Krzyżewski, Filip, Kaleta, Joanna, Rusek, Marian, Orłowski, Arkadiusz   +4 more
openaire   +2 more sources

A Sequential Homotopy Method for Mathematical Programming Problems

, 2019
We propose a sequential homotopy method for the solution of mathematical programming problems formulated in abstract Hilbert spaces under the Guignard constraint qualification.
Bock, Hans Georg, Potschka, Andreas
core  

Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble

Journal of Applied Mathematics, 2012
The homotopy analysis method is used to obtain analytical solutions of the Rayleigh equation for the radial oscillations of a multielectron bubble in liquid helium.
F. A. Godínez, M. A. Escobedo, M. Navarrete   +2 more
doaj   +1 more source

A Comparative Study of q-Homotopy Analysis Method and Liao’s Optimal Homotopy Analysis Method [PDF]

Advances in Computer and Communication, 2020
openaire   +1 more source

Comparative study to some semi numerical methods for solving nonlinear Wave-like Equations with variable coefficient

مجلة علوم ذي قار, 2019
In this paper we solve the nonlinear wave-like Equations with variable coefficient by three Semi numerical methods, varational iteration method (VIM), homotopy perturbation method (HPM) and homotopy analysis method (HAM).
Mohanad Riyadh
doaj  

Homotopy analysis method

In this paper, we study the homotopy analysis method (HAM) proposed by Shijun Liao in 1992. We mainly focus on the version called Normal HAM, in which an auxiliary convergence control parameter is introduced. In the following pages we will see the relevance of the auxiliary parameter, as well as introduce the generalized Taylor series. Subsequently, we
openaire   +1 more source

Applying Discrete Homotopy Analysis Method for Solving Fractional Partial Differential Equations. [PDF]

Entropy (Basel), 2018
Özpınar F.
europepmc   +1 more source

Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations

International Journal of Analysis and Applications, 2017
In this paper, a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential equations. This method is called the fractional homotopy analysis natural transform method (FHANTM).
D. Ziane, M. Hamdi Cherif
doaj  

Analytical and numerical computations for bioconvective flow Maxwell nanofluid with variable thermal properties using homotopy analysis method and finite difference scheme. [PDF]

Sci Rep
Alzahrani J.
europepmc   +1 more source

Unveiling protoplanetary structure equations: Semi-analytical solutions via the homotopy analysis method. [PDF]

Heliyon
Chandra Paul G, Tauhida, Nuruzzaman M, Hossain MZ, Chandra Barman M, Kumar D.   +5 more
europepmc   +1 more source