Results 111 to 120 of about 2,952,428 (298)

Turing pattern formation with fractional diffusion and fractional reactions [PDF]

, 2006
We have investigated Turing pattern formation through linear stability analysis and numerical simulations in a two-species reaction–diffusion system in which a fractional order temporal derivative operates on both species, and on both the diffusion term ...
T A M Langlands, B I Henry, S L Wearne, Henry, B. I., Wearne, S. L., Langlands, T. A. M.   +5 more
core   +1 more source

Inverse Identification of Energy‐Dependent Laser Absorptivity in NiTi Laser Powder‐Bed Fusion via Calibrated Melt Pool Simulation

Advanced Engineering Materials, EarlyView.
A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi, Hadi Moutablaleh, Ignatius A. Setiawan, Mehrshad Mehrpouya   +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

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

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

Influence of Scan Strategies in Electron Beam Powder Bed Fusion on Solidification, Microstructure, and High‐Temperature Compressive Properties of γ′‐Strengthened Inconel 738LC

Advanced Engineering Materials, EarlyView.
Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati, Karthik Kumar Banku, Prasanth Bondi, Ivan Zhirnov, Yangyiwei Yang, Gordon Schmidt, Jürgen Christen, Georg Hasemann, Manja Krüger, Bai‐Xiang Xu, Bilal Gökce, Silja‐Katharina Rittinghaus   +11 more
wiley   +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 numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data. [PDF]

Numer Algorithms, 2023
Zhu BY, Xiao AG, Li XY.
europepmc   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +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

SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: A meshless algorithm for the fractional diffusion equation. [PDF]

Eng Anal Bound Elem, 2022
Bavi O, Hosseininia M, Heydari MH, Bavi N.   +3 more
europepmc   +1 more source