Results 21 to 30 of about 210,852 (219)

Leapfrog/Finite Element Method for Fractional Diffusion Equation

open access: yesThe 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

open access: yesEntropy, 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   +5 more
doaj   +1 more source

Splitting spectral element method for fractional reaction-diffusion equations

open access: yesJournal 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

open access: yesResults 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

Longtime behavior for a generalized Cahn-Hilliard system with fractional operators [PDF]

open access: yes, 2019
In this contribution, we deal with the longtime behavior of the solutions to the fractional variant of the Cahn-Hilliard system, with possibly singular potentials, that we have recently investigated in the paper `Well-posedness and regularity for a ...
Colli, Pierluigi   +2 more
core   +3 more sources

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

open access: yesJournal 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   +5 more
doaj   +1 more source

Human Hypertension Blood Flow Model Using Fractional Calculus

open access: yesFrontiers 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   +4 more
doaj   +1 more source

Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise [PDF]

open access: yes, 2018
The numerical approximation of the solution to a stochastic partial differential equation with additive spatial white noise on a bounded domain is considered.
Bolin, David   +2 more
core   +2 more sources

Creep and Fracture in Concrete: A Fractional Order Rate Approach [PDF]

open access: yes, 2002
The paper analyses the interaction between strain-softening and time-dependent behaviour in the case of quasi-static fracture of concrete. A viscous element based on a fractional order rate law is coupled with a micromecanical model for the fracture ...
Barenblatt   +17 more
core   +1 more source

Fractional-Order Chaotic Memory with Wideband Constant Phase Elements [PDF]

open access: yesEntropy, 2020
This paper provides readers with three partial results that are mutually connected. Firstly, the gallery of the so-called constant phase elements (CPE) dedicated for the wideband applications is presented. CPEs are calculated for 9° (decimal orders) and 10° phase steps including ¼, ½, and ¾ orders, which are the most used mathematical orders between ...
openaire   +4 more sources

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