Results 101 to 110 of about 110,349 (310)

Solving linear and non-linear space-time fractional reaction-diffusion equations by the adomian decomposition method

, 2008
In this paper, we consider linear and non-linear space-time fractional reaction-diffusion equations (STFRDE) on a finite domain. The equations are obtained from standard reaction-diffusion equations by replacing a second-order space derivative by a ...
Anh, Vo, Liu, Fawang, Turner, I., Turner, Ian, Yu, Q., Yu, Q, Liu, F., Anh, V., 刘发旺   +8 more
core   +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

Discrete monotone method for space-fractional nonlinear reaction–diffusion equations

Advances in Difference Equations, 2019
A discrete monotone iterative method is reported here to solve a space-fractional nonlinear diffusion–reaction equation. More precisely, we propose a Crank–Nicolson discretization of a reaction–diffusion system with fractional spatial derivative of the ...
Salvador Flores, Jorge E. Macías-Díaz, Ahmed S. Hendy   +2 more
doaj   +1 more source

Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy

Advanced Engineering Materials, EarlyView.
A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang, Aparajita Pramanik, Sandipan Sen, Shubhashis Dixit, Marcel Muench, R. J. Vikram, Daniel Schliephake, Yolita M. Eggeler, Ankur Chauhan, Martin Heilmaier, Alexander Kauffmann   +10 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

Creep Properties and Deformation Mechanism of Additively Manufactured NiAl‐CrMo Composites

Advanced Engineering Materials, EarlyView.
Additively manufactured NiAl‐CrMo composites contain numerous interfaces and cell boundaries that control their creep response. At 700°C under high applied stress, creep is dominated by dislocation‐controlled power‐law mechanisms. At 800°C–900°C and lower stresses, creep is primarily diffusion‐controlled along cell boundaries.
Jan Vollhüter, Andreas Bezold, Johan Westraadt, Katharina Fiegl, Subham Chattoraj, Benjamin Wahlmann, Carolin Körner, Michael Mills, Mathias Göken, Steffen Neumeier   +9 more
wiley   +1 more source

Inside dynamics of solutions of integro-differential equations

, 2014
International audienceIn this paper, we investigate the inside dynamics of the positive solutions of integro-differential equations partial derivative(t)u(t, x) =(J star u)(t,x) - u(t, x) + f(u(t,x)), t >0 and x is an element of R, with both thin-tailed ...
Bonnefon, Olivier, Garnier, Jimmy, Roques, Lionel, Coville, Jérôme   +3 more
core   +1 more source

Application of operator splitting to solve reaction-diffusion equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated.
T. Ladics
doaj   +1 more source

A Feynman Path Integral-like Method for Deriving Reaction-Diffusion Equations. [PDF]

Polymers (Basel), 2022
Li C, Li J, Yang Y.
europepmc   +1 more source

Recycling of NiTi Shape Memory Alloys: Fundamental and Technological Aspects of a Vacuum Induction Melting Processing Route

Advanced Engineering Materials, EarlyView.
The present study investigates recycling of NiTi shape memory alloys via vacuum induction melting. An ingot was synthesized from elemental Ni and Ti and subjected to three subsequent remelting cycles. Remelting increases process durations and impurity levels and adversely affects microstructures and functional properties.
Sakia Sophia Noorzayee, Son Tung Mai, Sarath Menon, Braulio Gadiel Sánchez Ortega, Ralf Drautz, Alexander Kauffmann, Gunther Eggeler, Jan Frenzel   +7 more
wiley   +1 more source