Results 81 to 90 of about 1,147 (198)
Circle packings, renormalizations, and subdivision rules
Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley +1 more source
INTEGRAL TRANSFORMS WITH THE HOMOTOPY PERTURBATION METHOD AND SOME APPLICATIONS [PDF]
This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the ...
Jules Sadefo Kamdem
core
Optimal power flow (OPF) is a fundamental problem in power systems analysis for determining the steady-state operating point of a power network that minimizes the generation cost.
Somayeh Sojoudi +3 more
core +1 more source
Graph potentials and topological quantum field theories
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
wiley +1 more source
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
Analytical approach for fractional extended Fisher–Kolmogorov equation with Mittag-Leffler kernel
A new solution for fractional extended Fisher–Kolmogorov (FEFK) equation using the q-homotopy analysis transform method (q-HATM) is obtained. The fractional derivative considered in the present work is developed with Atangana–Baleanu (AB) operator, and ...
P. Veeresha +4 more
doaj +1 more source
Applying Dynamics/Cost Parameter Continuation to the Optimal Guidance of Variable‐Speed Unicycle
(a) Classical parameter continuation method diverges. (b) Dynamics/cost parameter continuation method converges. ABSTRACT The problem of a variable‐speed unicycle guidance to the stationary target is considered. The vehicle should be guided to the origin while minimizing the energy loss due to the induced drag.
Gleb Merkulov +2 more
wiley +1 more source
The main purpose of this paper is to construct approximate analytic solutions for a time-fractional attraction Keller-Segel (TF-AKS) chemotaxis model using the −homotopy analysis transform method (−HATM).
Okposo, Newton I., Jonathan, Abel M.
core
The approximate solution of the squeezing axisymmetric fluid flow between infinite plates is discussed in the present paper. An optimal homotopy analysis method with a modification function technique is proposed to solve a class of nonlocal boundary ...
İLHAN, ONUR ALP
core +1 more source
Homotopy perturbation method for free vibration analysis of beams on elastic foundation [PDF]
9th World Congress on Computational Mechanics/4th Asian Pacific Congress on Computational Mechanics -- JUL 19-23, 2010 -- Sydney, AUSTRALIAIn this study, the homotopy perturbation method (HPM) is applied for free vibration analysis of beam on elastic ...
Ozturk, Baki +7 more
core +2 more sources

