Identification of a multi-dimensional space-dependent heat source from boundary data
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Publication Date
Fri Jan 01 2016
Journal Name
Applied Numerical Mathematics
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Publication Date
Thu Nov 30 2023
Journal Name
Iraqi Journal Of Science
Determination of Spacewise− Dependent Heat Source Term in Pseudoparabolic Equation from Overdetermination Conditions
Pseudo-parabolic equation
Inverse problem
von Neumann stability analysis
Finite difference method
Tikhonov regularization method
This paper examines the finding of spacewise dependent heat source function in pseudoparabolic equation with initial and homogeneous Dirichlet boundary conditions, as well as the final time value / integral specification as additional conditions that ensure the uniqueness solvability of the inverse problem. However, the problem remains ill-posed because tiny perturbations in input data cause huge errors in outputs. Thus, we employ Tikhonov’s regularization method to restore this instability. In order to choose the best regularization parameter, we employ L-curve method. On the other hand, the direct (forward) problem is solved by a finite difference scheme while the inverse one is reformulated as an optimization problem. The
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Publication Date
Fri Oct 14 2016
Journal Name
International Journal For Computational Methods In Engineering Science And Mechanics
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Publication Date
Tue Apr 01 2014
Journal Name
International Communications In Heat And Mass Transfer
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Publication Date
Thu Jul 01 2021
Journal Name
Iraqi Journal Of Science
Simultaneous Identification of Thermal Conductivity and Heat Source in the Heat Equation
Inverse problem
Heat equation
Heat flux
Tikhonov regularization
Nonlinear optimization
This paper presents a numerical solution to the inverse problem consisting of recovering time-dependent thermal conductivity and heat source coefficients in the one-dimensional parabolic heat equation. This mathematical formulation ensures that the inverse problem has a unique solution. However, the problem is still ill-posed since small errors in the input data lead to a drastic amount of errors in the output coefficients. The finite difference method with the Crank-Nicolson scheme is adopted as a direct solver of the problem in a fixed domain. The inverse problem is solved sub
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Publication Date
Tue Jan 30 2024
Journal Name
Iraqi Journal Of Science
The L^P-spaces of functions from the n-dimensional real space to the N-dimensional quaternionic space
Hamiltonian skew field of quaternions
Quaternion N-vectors
Quaternion-valued functions
L^p (R^n
H^N ) spaces
L^∞ (R^n
H^N ) space
In this paper, we introduce new definitions of the - spaces namely the - spaces Here, and are natural numbers that are not necessarily equal, such that . The space refers to the n-dimensional Euclidean space, refers to the quaternions set and refers to the N-dimensional quaternionic space. Furthermore, we establish and prove some properties of their elements. These elements are quaternion-valued N-vector functions defined on , and the spaces have never been introduced in this way before.
Publication Date
Tue Mar 16 2021
Journal Name
International Journal For Computational Methods In Engineering Science And Mechanics
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Publication Date
Mon May 01 2017
Journal Name
Applied Mathematics And Computation
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Publication Date
Mon Jul 01 2019
Journal Name
Applied Mathematical Modelling
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Publication Date
Tue Oct 01 2013
Journal Name
Proceedings Of The International Astronomical Union
The infrared <i>K</i>-band identification of the DSO/G2 source from VLT and Keck data
Abstract<p>A fast moving infrared excess source (G2) which is widely interpreted as a core-less gas and dust cloud approaches Sagittarius A* (Sgr A*) on a presumably elliptical orbit. VLT <italic>K<sub>s</sub></italic>-band and Keck <italic>K</italic>′-band data result in clear continuum identifications and proper motions of this ∼19<sup><italic>m</italic></sup> Dusty S-cluster Object (DSO). In 2002-2007 it is confused with the star S63, but free of confusion again since 2007. Its near-infrared (NIR) colors and a comparison to other sources in the field speak in favor of the DSO being an IR excess star with photospheric continuum emission at 2 microns than a</p>
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