Results 111 to 120 of about 644,555 (334)

Waveform relaxation for reaction–diffusion equations

Journal of Computational and Applied Mathematics, 2011
The authors propose a new waveform relaxation algorithm for general semi-linear reaction-diffusion equations. Compared with the classical waveform relaxation algorithm, the new one has two advantages: the first one is that the system is not decomposed into sub-systems; the second one is represented by the fact that the convergence rate of the new ...
Liu, Jun, Jiang, Yao-Lin
openaire   +2 more sources

NanoMOF‐Based Multilevel Anti‐Counterfeiting by a Combination of Visible and Invisible Photoluminescence and Conductivity

Advanced Functional Materials, EarlyView.
This study presents novel anti‐counterfeiting tags with multilevel security features that utilize additional disguise features. They combine luminescent nanosized Ln‐MOFs with conductive polymers to multifunctional mixed‐matrix membranes and powder composites. The materials exhibit visible/NIR emission and matrix‐based conductivity even as black bodies.
Moritz Maxeiner, Ruben Maile, Murat Cuvalli, Andreas Wolf, Ayisha Komal, Robert Oestreich, Christoph Janiak, Karl Mandel, Alexander Knebel, Klaus Müller‐Buschbaum   +9 more
wiley   +1 more source

On the solutions of fractional reaction-diffusion equations

Le Matematiche, 2013
In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative.
Jagdev Singh, Devendra Kumar, Sushila Rathore   +2 more
doaj  

Analysis of Cauchy reaction-diffusion equations involving Atangana-Baleanu fractional operator

Partial Differential Equations in Applied Mathematics
This study investigates the Cauchy reaction-diffusion equation (CRDE) with the Atangana-Baleanu differential operator. The existence and uniqueness of solutions to fractional starting value issues are begun using the fixed-point theorem and contraction ...
Hassan Kamil Jassim, Ali Latif Arif
doaj   +1 more source

Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source

Advances in Mathematical Physics, 2014
This paper is devoted to understand the blow-up properties of reaction-diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p-Laplacian equation with a localized reaction.
Yulan Wang, Xiaojun Song, Chao Ye
doaj   +1 more source

Enhancing Low‐Temperature Performance of Sodium‐Ion Batteries via Anion‐Solvent Interactions

Advanced Functional Materials, EarlyView.
DOL is introduced into electrolytes as a co‐solvent, increasing slat solubility, ion conductivity, and the de‐solvent process, and forming an anion‐rich solvent shell due to its high interaction with anion. With the above virtues, the batteries using this electrolyte exhibit excellent cycling stability at low temperatures. Abstract Sodium‐ion batteries
Cheng Zheng, Qian Yao, Yanan Sun, Hongyu Lv, Zhongchao Bai, Guoliang Zhang, Nana Wang, Jian Yang   +7 more
wiley   +1 more source

Two-Dimensional Time-Fractional Nonlinear Drift Reaction–Diffusion Equation Arising in Electrical Field

Fractal and Fractional
Diffusion equations play a crucial role in various scientific and technological domains, including mathematical biology, physics, electrical engineering, and mathematics. This article presents a new formulation of the diffusion equation in the context of
Anjuman, Andrew Y. T. Leung, Subir Das
doaj   +1 more source

Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations

Networks and Heterogeneous Media, 2010
We introduce nonoverlapping domain decomposition algorithms of Schwarzwaveform relaxation type for the semilinear reaction-diffusionequation. We define linear Robin and secondorder (or Ventcell) transmission conditions between the subdomains, which we ...
Filipa Caetano, Martin J. Gander, Laurence Halpern, Jérémie Szeftel   +3 more
doaj   +1 more source

Unlocking Ultra‐Long Cycle Stability of Li Metal Electrode by Separators Modified by Porous Red Phosphorus Nanosheets

Advanced Functional Materials, EarlyView.
Coating the standard polypropylene separator with a porous red phosphorous nanosheet greatly improves cycling performance in Li electrode cells. The phosphorus‐based surface chemistry deactivates electrolyte solvent decomposition and enhances the cleavage of F‐containing salt, resulting in an inorganic‐dominated electrolyte interphase (SEI) composition
Jiangpeng Wang, Mingzi Sun, Feng Lang, Zhijun Cai, Xitao Hu, Yao Gao, Chao Lin, Xueqiang Zhang, Bolong Huang, Quan Li   +9 more
wiley   +1 more source

Existence and Uniqueness of Solutions for System of Nonlinear Fractional Reaction Diffusion Equations

Ratio Mathematica
In this paper, to develop monotone method for non-linear system of Riemann-Liouville (R-L) reaction-diffusion equations with initial and boundary conditions.
Pandurang D. Kundgar, Jagdish A. Nanware
doaj   +1 more source