Results 41 to 50 of about 1,278,046 (281)
Numerical solution of a malignant invasion model using some finite difference methods
Demonstratio Mathematica, 2023 In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao +1 more
doaj +1 more source
Block-Centered Finite-Difference Methods for Time-Fractional Fourth-Order Parabolic Equations
Fractal and Fractional, 2023 The block-centered finite-difference method has many advantages, and the time-fractional fourth-order equation is widely used in physics and engineering science.
Taixiu Zhang, Zhe Yin, Ailing Zhu
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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
, 2015 We present domain decomposition finite element/finite difference method for the solution of hyperbolic equation. The domain decomposition is performed such that finite elements and finite differences are used in different subdomains of the computational ...
Beilina, L.
core +1 more source
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
Excel implementation of finite difference methods for option pricing
Spreadsheets in Education, 2016 This paper presents and explains finite difference methods for pricing options and shows how these methods may be implemented in Excel. We cover both the explicit and the implicit finite difference methods.
Timothy J Kyng +2 more
doaj
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
Per‐unit transformation for the combined analysis of multi‐energy integration
IET Renewable Power GenerationTo handle numerical issues caused by dimensional differences among heterogeneous states in integrated energy systems (IES), this paper proposes a novel per‐unit transformation method and explores its applications to the partial differential equation ...
Zhang Zhang, Fei Wang, Hui Fan
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The numerical techniques for thermal distribution analysis in optical waveguides [PDF]
, 2008 In this paper, the analysis of thermal distribution in planar optical waveguide cross-section when a single heater electrode applied is presented. Starting from the heat equation, the thermal analysis has been done using two proposed numerical methods ...
Ibrahim, Mohd. Haniff +3 more
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Advanced Engineering Materials, EarlyView.This study examines how several molten high‐silicon electrical steels interact with both conventional and recycled MgO–C refractories. For this, various immersion experiments are conducted. In addition to infiltration, a number of mechanisms are identified and explained that control the corrosion of the refractory material.
Lukas Neubert +7 more
wiley +1 more source