Results 91 to 100 of about 2,952,428 (298)

Implicit Difference Approximation of the Galilei Invariant Fractional Advection Diffusion Equation [PDF]

, 2007
A Galilei invariant fractional advection diffusion equation with initial-boundary conditions is considered. An implicit difference approximation for solving the Galilei invariant fractional advection diffusion equation is presented.
Anh, Vo, Liu, Fawang, Chen, Changming, Turner, Ian, Chen, Chang-ming   +4 more
core  

A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation [PDF]

, 2013
The method of lines is a standard method for advancing the solution of partial differential equations (PDEs) in time. In one sense, the method applies equally well to space-fractional PDEs as it does to integer-order PDEs. However, there is a significant
Yang, Qianqian, Moroney, Timothy J.
core   +1 more source

The Gut–Heart Axis in Systemic Sclerosis: Evidence From a Large Prospective Early Disease Cohort

Arthritis Care &Research, EarlyView.
Objective Cardiac involvement significantly impacts prognosis in systemic sclerosis (SSc), highlighting the need for early risk stratification. Gastrointestinal (GI) symptoms are common and often manifest early. Emerging data suggest a link between GI and cardiac manifestations, possibly through shared mechanisms like dysautonomia.
Francesca R. Di Ciommo, Ashish P. Balar, Aidan K. Strother, Subhash Kulkarni, Michael Hughes, Brian Skaug, Maureen D. Mayes, Shervin Assassi, Ali Y. Ayla, Zsuzsanna H. McMahan   +9 more
wiley   +1 more source

Solutions of certain fractional kinetic equations and a fractional diffusion equation [PDF]

Journal of Mathematical Physics, 2010
In view of the usefulness and importance of kinetic equations in certain physical problems, the authors derive an explicit solution of a fractional kinetic equation of general character that unifies and extends earlier results. Further, an alternative shorter method based on a result developed by the authors is given to derive the solution of a ...
Saxena, R. K., Mathai, A. M., Haubold, H. J.   +2 more
openaire   +3 more sources

Fundamental solution and discrete random walk model for time-space fractional diffusion equation [PDF]

, 2008
In this paper, we consider a time-space fractional diffusion equation of distributed order (TSFDEDO). The TSFDEDO is obtained from the standard advection-dispersion equation by replacing the first-order time derivative by the Caputo fractional derivative
Anh, Vo, Liu, Fawang, Shen, Shujun
core   +1 more source

Distinct Systemic Sclerosis Phenotypes Related to Ethnicity: An Opportunity to Personalize Care?

Arthritis Care &Research, EarlyView.
Objective The objective is to describe and compare demographic, clinical, and serological characteristics of patients with systemic sclerosis (SSc) according to ethnic background. Methods Participants enrolled in the Canadian Scleroderma Research Group cohort who self‐identified to a single ethnicity group were included.
Danick Goulet, Camille Guertin, Maggie Larché, Isabelle Ferdinand, Marie Hudson, May Y. Choi, Mohammed Osman, Janet Pope, Carter Thorne, Murray Baron, Sasha Bernatsky, Sabrina Hoa   +11 more
wiley   +1 more source

A Domain Decomposition Method for Time Fractional Reaction-Diffusion Equation

The Scientific World Journal, 2014
The computational complexity of one-dimensional time fractional reaction-diffusion equation is O(N2M) compared with O(NM) for classical integer reaction-diffusion equation. Parallel computing is used to overcome this challenge.
Chunye Gong, Weimin Bao, Guojian Tang, Yuewen Jiang, Jie Liu   +4 more
doaj   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

Fractional order Chelyshkov wavelet for solving variable coefficients Caputo time-fractional convection-diffusion equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
Convection-diffusion equations are widely used to describe transport processes and arise in numerous scientific and engineering applications, including heat transfer, contaminant transport in porous media, groundwater flow, chemical reactions, and ...
Sufia Sabir, Ayaz Ahmad
doaj   +1 more source

Cauchy problem for fractional diffusion equations

Journal of Differential Equations, 2004
Version 2 contains a correction (formula 4.14) as compared with the published ...
Eidelman, Samuil D., Kochubei, Anatoly N.   +1 more
openaire   +2 more sources