Results 51 to 60 of about 1,386,269 (179)
Thermoreflectance Detection of Point Defects Resulting from Focused Ion Beam Milling
Advanced Engineering Materials, EarlyView.Focused ion beam (FIB) milling is a common tool for nanoscale material processing, however irradiation damage, redeposition, and contamination can occur. We use several characterization tools to show FIB‐induced effects beyond 1 mm from the milled area.
Thomas W. Pfeifer +3 more
wiley +1 more source
Numerical Solutions Of The Nonlocal Problems For The Diffusion Partial Differential Equations
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this work, we use the explicit and the implicit finite-difference methods to solve the nonlocal problem that consists of the diffusion equations together with nonlocal conditions.
Reem. M. Kubba
doaj
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
Finite Difference Method for Solving Partial Integro-Differential Equations
پژوهشهای ریاضی, 2020 Introduction In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method.
Majid Erfanian, Hamed Zeidabadi
doaj
A multi-domain hybrid method for head-on collision of black holes in particle limit
, 2011 A hybrid method is developed based on the spectral and finite-difference methods for solving the inhomogeneous Zerilli equation in time-domain. The developed hybrid method decomposes the domain into the spectral and finite-difference domains.
DEBANANDA CHAKRABORTY +3 more
core +1 more source
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
The Compact Finite Difference Method of Two-Dimensional Cattaneo Model
Journal of Function Spaces, 2020 In this paper, we propose and analyze the compact finite difference scheme of the two-dimensional Cattaneo model. The stability and convergence of the scheme are proved by the energy method, the convergence orders are 2 in time and 4 in space.
Yating Huang, Zhe Yin
doaj +1 more source
Modeling Incompressible Lid-driven Cavity Using Implicit Finite Difference Method [PDF]
Journal of Applied and Computational MechanicsThe current study of incompressible flow characteristics in a confined square cavity, known as the lid-driven cavity model, is an essential step in constructing several related applications.
Eko Budiana +2 more
doaj +1 more source
A finite-difference method for linearization in nonlinear estimation algorithms [PDF]
Modeling, Identification and Control, 1998 Linearizations of nonlinear functions that are based on Jacobian matrices often cannot be applied in practical applications of nonlinear estimation techniques. An alternative linearization method is presented in this paper.
Tor S. Schei
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A cubic spline technique for the one dimensional heat conduction equation [PDF]
, 1971 A new method is developed for the numerical solution of the heat conduction equation in one space dimension by replacing the space derivative with a cubic spline approximation and the time derivative with a finite- difference approximation. The method is
Papamichael, N, Whiteman, J R
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