Results 101 to 110 of about 2,952,428 (298)
Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation [PDF]
, 2008 We consider a time and space-symmetric fractional diffusion equation (TSS-FDE) under homogeneous Dirichlet conditions and homogeneous Neumann conditions.
Yang, Qianqian, Liu, Fawang, Turner, Ian
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar +2 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios +5 more
wiley +1 more source
The Inverse Nodal problem for the fractional diffusion equation
Acta Scientiarum: Technology, 2015 In this paper, on a general finite interval, the inverse problem of recovering the potential function for a fractional diffusion equation with new spectral parameter, called the nodal point, is given.
Erdal Bas
doaj +1 more source
Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations
Entropy, 2020 A standard reaction–diffusion equation consists of two additive terms, a diffusion term and a reaction rate term. The latter term is obtained directly from a reaction rate equation which is itself derived from known reaction kinetics, together with ...
Christopher N. Angstmann, Bruce I. Henry
doaj +1 more source
Numerical simulation of the Riesz fractional diffusion equation with a nonlinear source term [PDF]
, 2008 In this paper, A Riesz fractional diffusion equation with a nonlinear\ud source term (RFDE-NST) is considered. This equation is commonly\ud used to model the growth and spreading of biological species.
Liu, Fawang, Zhang, Hong-Mei
core
Advanced Engineering Materials, EarlyView.Mass density governs the protective behavior of oxide layers on nuclear fuel cladding. Ptychographic X‐ray computed tomography measures zirconium oxide grown on Zircaloy‐4 under reactor and autoclave conditions, revealing nearly identical bulk densities of 5.1 ± 0.80 g cm−3.
Okan Yetik +9 more
wiley +1 more source
Existence and regularity of solutions to 1-D fractional order diffusion equations
Electronic Journal of Differential Equations, 2019 In this article we investigate the existence and regularity of 1-D steady state fractional order diffusion equations. Two models are investigated: the Riemann-Liouville fractional diffusion equation, and the Riemann-Liouville-Caputo fractional ...
Lueling Jia +2 more
doaj
Advanced Engineering Materials, EarlyView.Scandium (Sc)‐doped AlCoCrFeMo HEA coatings are fabricated via flame spraying with 0.1, 0.3, and 0.5 wt% Sc additions. Among these, the HEA‐Sc0.3 coating exhibits the highest corrosion resistance, indicated by a more positive corrosion potential and lower current density.
Pankaj Kumar +7 more
wiley +1 more source