Results 91 to 100 of about 125,128 (279)

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, Huanzhen Chen, Vincent J. Ervin   +2 more
doaj  

Interaction between Molten Al‐Killed Mn–B Steel and Carbon‐Bonded MgO Refractories Based on Recyclates

Advanced Engineering Materials, EarlyView.
High‐temperature interactions between low‐sulfur Al‐killed Mn–B steel and MgO–C refractories (0 and 50 wt% recyclates) are studied via finger immersion tests (1600 °C). Surface‐active elements influence infiltration. MgO/CaS layer forms, along with spinel and calcium silicate.
Matheus Roberto Bellé, Lukas Neubert, Anton Yehorov, Till M. J. Stadtmüller, Christos G. Aneziris, Olena Volkova   +5 more
wiley   +1 more source

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

Innovative Solutions to the Fractional Diffusion Equation Using the Elzaki Transform

Mathematical and Computational Applications
This study explores the application of advanced mathematical techniques to solve fractional differential equations, focusing particularly on the fractional diffusion equation.
Saima Noor, Albandari W. Alrowaily, Mohammad Alqudah, Rasool Shah, Samir A. El-Tantawy   +4 more
doaj   +1 more source

On the Initial-Boundary-Value Problem for the Time-Fractional Diffusion Equation on the Real Positive Semiaxis

International Journal of Differential Equations, 2015
We consider the time-fractional derivative in the Caputo sense of order α∈(0, 1). Taking into account the asymptotic behavior and the existence of bounds for the Mainardi and the Wright function in R+, two different initial-boundary-value problems for ...
D. Goos, G. Reyero, S. Roscani, E. Santillan Marcus   +3 more
doaj   +1 more source

An efficient fractional polynomial method for space fractional diffusion equations

Ain Shams Engineering Journal, 2018
In this paper, we develop a new approximation technique for solving space fractional diffusion equation. The method of solution is based on fractional order Legendre function with the concept of Caputo’s definition of fractional derivatives.
K. Krishnaveni, K. Kannan, S. Raja Balachandar, S.G. Venkatesh   +3 more
doaj   +1 more source

Investigation of Laser Ablation and Brush Pre‐Treatments for AlCu Cold Roll Bonding in Oxygen‐Free Conditions

Advanced Engineering Materials, EarlyView.
It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti, Finn‐Lennard Janthur, Selina Raumel, Sascha Jan Zimmermann, Sarah Seffer, René Gustus, Sebastian Herbst, Marc C. Wurz, Ludger Overmeyer, Wolfgang Maus‐Friedrichs, Hans Jürgen Maier, Florian Nürnberger   +11 more
wiley   +1 more source

An Investigation of Methanol Anomalous Diffusion in Mesoporous Silica

Фізика і хімія твердого тіла, 2016
Methanol transport in mesoporous silica is investigated. It is demonstrated that usual approach based on the second Fick’s law fails describing the experimental kinetic data.
A. A. Zhokh, P. E. Strizhak
doaj   +1 more source

L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]

Commun Appl Math Comput, 2023
Wang Z.
europepmc   +1 more source

Microstructural Evolution and Vacancy Defect Formation in Mn–Mo–Ni RPV Steel Under Low Cycle Fatigue: Insights From EBSD and PALS

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, Dhanadeep Dutta, G. Bharat Reddy   +2 more
wiley   +1 more source