Results 21 to 30 of about 230,985 (278)

Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]

, 2014
This paper discusses the upwinded local discontinuous Galerkin methods for the one-term/multi-term fractional ordinary differential equations (FODEs).
Deng, Weihua, Hesthaven, Jan S.
core   +2 more sources

Measurement Units and Physical Dimensions of Fractance-Part I: Position of Purely Ideal Fractor in Chua’s Axiomatic Circuit Element System and Fractional-Order Reactance of Fractor in Its Natural Implementation

IEEE Access, 2016
Here and in the companion paper (Part II), a novel conceptual framework on the measurement units and physical dimensions of fractance and rules for fractors in series and parallel is mainly discussed.
Yi-Fei Pu
doaj   +1 more source

Finite element approximation for the fractional eigenvalue problem [PDF]

, 2018
The purpose of this work is to study a finite element method for finding solutions to the eigenvalue problem for the fractional Laplacian. We prove that the discrete eigenvalue problem converges to the continuous one and we show the order of such ...
Borthagaray, Juan Pablo, Del Pezzo, Leandro M., Martínez, Sandra   +2 more
core   +2 more sources

Leapfrog/Finite Element Method for Fractional Diffusion Equation

The Scientific World Journal, 2014
We analyze a fully discrete leapfrog/Galerkin finite element method for the numerical solution of the space fractional order (fractional for simplicity) diffusion equation.
Zhengang Zhao, Yunying Zheng
doaj   +1 more source

Analogue Realization of Fractional-Order Dynamical Systems

Entropy, 2013
As it results from many research works, the majority of real dynamical objects are fractional-order systems, although in some types of systems the order is very close to integer order.
Ladislav Pivka, Ivo Petráš, Ľubomír Dorčák, Juraj Valsa, Ján Terpák, Emmanuel Gonzalez   +5 more
doaj   +1 more source

Splitting spectral element method for fractional reaction-diffusion equations

Journal of Algorithms & Computational Technology, 2020
In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
doaj   +1 more source

Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation

Results in Applied Mathematics, 2022
In this article, we construct an efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation.
Jiarui Wang, Yang Liu, Cao Wen, Hong Li
doaj   +1 more source

Human Hypertension Blood Flow Model Using Fractional Calculus

Frontiers in Physiology, 2022
The blood flow dynamics in human arteries with hypertension disease is modeled using fractional calculus. The mathematical model is constructed using five-element lumped parameter arterial Windkessel representation.
Mohamed A. Bahloul, Yasser Aboelkassem, Yasser Aboelkassem, Taous-Meriem Laleg-Kirati, Taous-Meriem Laleg-Kirati   +4 more
doaj   +1 more source

Synthesis of elements with fractional-order impedance based on homogenous distributed resistive-capacitive structures and genetic algorithm

Journal of Advanced Research, 2020
The work proposes a synthesis method of capacitive fractional-order impedance element which is composed of homogenous distributed resistive-capacitive (RC) structures (lines).
Pyotr Arkhipovich Ushakov, Kirill Olegovich Maksimov, Stanislav Valerevich Stoychev, Vladimir Gennadievich Gravshin, David Kubanek, Jaroslav Koton   +5 more
doaj   +1 more source

Towards Supergravity Duals of Chiral Symmetry Breaking in Sasaki-Einstein Cascading Quiver Theories [PDF]

, 2005
We construct a first order deformation of the complex structure of the cone over Sasaki-Einstein spaces Y^{p,q} and check supersymmetry explicitly. This space is a central element in the holographic dual of chiral symmetry breaking for a large class of ...
A. Butti, Benjamin A.Burrington, C.P. Herzog, D. Berenstein, D. Martelli, I.R. Klebanov, J.P. Gauntlett, J.P. Gauntlett, J.P. Gauntlett, James T Liu, K. Altmann, K. Altmann, Leopoldo A. Pando Zayas, M. Bertolini, M. Bertolini, Manavendra Mahato, S. Benvenuti, S. Franco, S.S. Gubser   +18 more
core   +4 more sources