Results 41 to 50 of about 7,805 (260)
Alexandria Engineering Journal, 2021 In this paper we present a new numerical technique for 1D, 2D, and 3D time-fractional second order dual-phase-lag model of heat transfer. The problem is formulated as a solution of a time fractional partial differential equation (TFPDE) subjected to ...
Ji Lin, Yuhui Zhang, Sergiy Reutskiy
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The local backward heat problem
, 2017 In this paper, we study the local backward problem of a linear heat equation with time-dependent coefficients under the Dirichlet boundary condition. Precisely, we recover the initial data from the observation on a subdomain at some later time. Thanks to the "optimal filtering" method of Seidman, we can solve the global backward problem, which ...
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ON THREE SPECTRAL REGULARIZATION METHODS FOR A BACKWARD HEAT CONDUCTION PROBLEM [PDF]
Journal of the Korean Mathematical Society, 2007 We introduce three spectral regularization methods for solving a backward heat conduction problem (BHCP). For the three spectral regularization methods, we give the stability error estimates with optimal order under an a-priori and an a-posteriori regularization parameter choice rule. Numerical results show that our theoretical results are effective.
Xiang-Tuan Xiong, Chu-Li Fu, Zhi Qian
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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
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Advanced Functional Materials, EarlyView.This work demonstrates the successful integration of a phenanthroline‐based 2D COF with MnI catalytic sites into a catholyte‐free membrane‐electrode‐assembly cell for CO2 electroreduction. The crystalline COF actively suppresses Mn⁰–Mn⁰ dimerization, achieving a turnover frequency of 617 h⁻¹ at 2.8 V (full‐cell potential), and enabling stable operation.
Laura Spies +8 more
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On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 The stable stationary solutions of the test problem of hydrodynamics and heat transfer in a plane channel with the backward-facing step have been considered in the work for extremely high Reynolds numbers and expansion ratio of the stream $ER$.
Alexander A Fomin, Liubov N Fomina
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Past Cone Dynamics and Backward Group Preserving Schemes for Backward Heat Conduction Problems
Computer Modeling in Engineering & Sciences, 2006 In this paper we are concerned with the backward problems governed by differential equations. It is a first time that we can construct a backward time dynamics on the past cone, such that an augmented dynamical system of the Lie type X˙ = B(X,t)X with t ∈ R−, X ∈ Mn+1 lying on the past cone and B ∈ so(n,1), was derived for the backward differential ...
C.-S. Liu, C.-W. Chang, J.-R. Chang
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Electroactive Metal–Organic Frameworks for Electrocatalysis
Advanced Functional Materials, EarlyView.Electrocatalysis is crucial in sustainable energy conversion as it enables efficient chemical transformations. The review discusses how metal–organic frameworks can revolutionize this field by offering tailorable structures and active site tunability, enabling efficient and selective electrocatalytic processes.
Irena Senkovska +7 more
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Backward uniqueness for heat equations with coefficients of bounded variation in time
Electronic Journal of Differential Equations, 2013 Uniqueness of solutions to the backward Cauchy problem for heat equations with coefficients of bounded variation in time is shown through the Carleman estimate.
Shigeo Tarama
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A Regularization Method for Backward Heat Equation on a Rectangular Domain
Journal of Harbin University of Science and TechnologyA regularization method is proposed for the non-homogeneous backward heat equation with a space-dependent source on a two-dimensional rectangular domain. This method is an extension of a known regularization approach.
WANG Yu, SUN Wei
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