Results 21 to 30 of about 106,224 (286)
Journal of Function Spaces, 2022 The main goal of the paper is to approximate two types of inverse problems for conformable heat equation (or called parabolic equation with conformable operator); as follows, we considered two cases: the right hand side of equation such that Fx,t and Fx ...
L. D. Long, Reza Saadati
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Numerical Investigation of Nanofluid Flow over a Backward Facing Step
Aerospace, 2022 Nanofluid flow over a backward facing step was investigated numerically at low Reynolds number and the heat transfer was analyzed and reported. Al2O3–H2O nanofluids of different volume fractions (φ = 1–5%) were used as the material with uniform heat flux
Wen-Chung Wu, Ankit Kumar
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Open Mathematics, 2023 In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data.
Cheng Wei, Liu Yi-Liang
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Some error estimates for the lumped mass finite element method for a parabolic problem [PDF]
, 2011 We study the spatially semidiscrete lumped mass method for the model homogeneous heat equation with homogeneous Dirichlet boundary conditions. Improving earlier results we show that known optimal order smooth initial data error estimates for the standard
Chatzipantelidis, Panagiotis +2 more
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Mean-square stability analysis of approximations of stochastic differential equations in infinite dimensions [PDF]
, 2017 The (asymptotic) behaviour of the second moment of solutions to stochastic differential equations is treated in mean-square stability analysis. This property is discussed for approximations of infinite-dimensional stochastic differential equations and ...
Lang, Annika +2 more
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On Optimal Regularization Methods for the Backward Heat Equation
Zeitschrift für Analysis und ihre Anwendungen, 1996 In this paper we consider different regularization methods for solving the heat equation u_1 + Au = 0 (0 ≤ t < T) backward in time, where A : H \to H is a linear (
Tautenhahn, U., Schröter, T.
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Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1d case [PDF]
, 2015 International audienceIn this paper we address some ill-posed problems involving the heat or the wave equation in one dimension, in particular the backward heat equation and the heat/wave equation with lateral Cauchy data.
A. Ern +29 more
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A posteriori analysis of the spectral element discretization of a non linear heat equation
Advances in Nonlinear Analysis, 2020 The paper deals with a posteriori analysis of the spectral element discretization of a non linear heat equation. The discretization is based on Euler’s backward scheme in time and spectral discretization in space. Residual error indicators related to the
Abdelwahed Mohamed, Chorfi Nejmeddine
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Feynman-Kac representation of fully nonlinear PDEs and applications [PDF]
, 2014 The classical Feynman-Kac formula states the connection between linear parabolic partial differential equations (PDEs), like the heat equation, and expectation of stochastic processes driven by Brownian motion.
Pham, Huyen
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An inverse source problem for the heat equation and the enclosure method
, 2006 An inverse source problem for the heat equation is considered. Extraction formulae for information about the time and location when and where the unknown source of the equation firstly appeared are given from a single lateral boundary measurement.
Avdonin S A +20 more
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