Results 21 to 30 of about 7,805 (260)
Shape identification of the jet-grouted column based on the thermal analysis and differential evolution [PDF]
Archives of Civil Engineering, 2023 In the paper, an indirect method for the identification of the final shape of the freshly executed jet-grouted column is developed. The method relies on the backward analysis of the temperatures measured inside the column, along the trace of the ...
Marek Wojciechowski
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Determination temperature of a heat equation from the final value data [PDF]
Surveys in Mathematics and its Applications, 2012 We introduce the truncation method for solving a backward heat conduction problem. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods.
Tuan H. Nguyen +3 more
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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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Convergency and Stability of Explicit and Implicit Schemes in the Simulation of the Heat Equation
Applied Sciences, 2021 Some strategies for solving differential equations based on the finite difference method are presented: forward time centered space (FTSC), backward time centered space (BTSC), and the Crank-Nicolson scheme (CN).
Franyelit Suárez-Carreño +1 more
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Numerical Analysis of a Swelling Poro-Thermoelastic Problem with Second Sound
Mathematics, 2023 In this paper, we analyze, from the numerical point of view, a swelling porous thermo-elastic problem. The so-called second-sound effect is introduced and modeled by using the simplest Maxwell–Cattaneo law. This problem leads to a coupled system which is
Noelia Bazarra +2 more
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A filter method for inverse nonlinear sideways heat equation
Advances in Difference Equations, 2020 In this paper, we study a sideways heat equation with a nonlinear source in a bounded domain, in which the Cauchy data at x = X $x = \mathcal {X}$ are given and the solution in 0 ≤ x < X $0 \le x < \mathcal {X}$ is sought.
Nguyen Anh Triet +4 more
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On the backward heat problem: evaluation of the norm of ∂u∂t
International Journal of Mathematics and Mathematical Sciences, 1980 We show in this paper that ‖Δu‖=‖ut‖ is bounded ∀t≤T(0)
Yves Biollay
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A Backward Group Preserving Scheme for Multi-Dimensional Backward Heat Conduction Problems
Computer Modeling in Engineering & Sciences, 2010 In this article, we propose a backward group preserving scheme (BGPS) to tackle the multi-dimensional backward heat conduction problem (BHCP). The BHCP is well-known as severely ill-posed because the solution does not continuously depend on the given data. When eight numerical examples (including nonlinear and nonhomogeneous BHCP, and Neumann and Robin
Chang, Chih-Wen, Liu, Chein-Shan
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Sustainable bioplastics manufacturing from renewable sources
FEBS Open Bio, EarlyView.Bioplastics are manufactured by using polymers from different bio‐based sources. These novel materials not only offer biodegradability but also possess various functional properties that make them suitable for diverse applications. Recent developments in the preparation of bioplastics are reported, highlighting the distinct properties of each type of ...
C. Valeria L. Giosafatto +6 more
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On the backward heat problem: evaluation of the norm of [PDF]
International Journal of Mathematics and Mathematical Sciences, 1980 We show in this paper that ‖Δu‖ = ‖ut‖ is bounded ∀t ≤ T(0) < T if one imposes on u (solution of the backward heat equation) the condition ‖u(x, t)‖ ≤ M. A Hölder type of inequality is also given if one supposes ‖ut(x, T)‖ ≤ K.
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