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Numerical Algorithms for the Parametric Continuation of Stiff ODEs Deriving from the Modeling of Combustion with Detailed Chemical Mechanisms Read chapter Read first chapter

2020 | OriginalPaper | Chapter

A Compact Filter Regularization Method for Solving Sideways Heat Equation

Authors : Ankita Shukla, Mani Mehra

Published in: Numerical Computations: Theory and Algorithms

Publisher: Springer International Publishing

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Abstract

In this paper, the stable approximate solution of the sideways heat equation is numerically investigated. The problem is severely ill-posed because if the solution exists, it does not depend continuously on the data. We introduce the compact filter regularization as a new, simple and convenient regularization method. Furthermore, the numerical implementation of the method is discussed. The numerical example shows that the proposed method is efficient and feasible.

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Literature
1.
Beck, J.V., Blackwell, B., Clair, S.R.: Inverse Heat Conduction. Ill-Posed Problems. Wiley, New York (1985)MATH
2.
Engl, H.W., Hanke, M., Neubauer, A.: Regularizaton of Inverse Problems. Kluwer Academics, Dordrecht (1996)CrossRef
3.
Vogel, C.: Computational Methods for Inverse Problems. SIAM, Philadelphia (2002)CrossRef
4.
Carasso, A.: Determining surface temperatures from interior observations. SIAM J. Appl. Math. 42(3), 558–574 (1982)MathSciNetCrossRef
5.
6.
Liu, J.C., Wei, T.: A quasi-reversibility regularization method for an inverse heat conduction problem without initial data. Appl. Math. Comput. 219(23), 10866–10881 (2013)MathSciNetMATH
7.
Seidman, T., Eldén, L.: An optimal filtering method for the sideways heat equation. Inverse Probl. 6(4), 681–696 (1990)MathSciNetCrossRef
8.
Regińska, T., Eldén, L.: Solving the sideways heat equation by a wavelet-Galerkin method. Inverse Probl. 13(4), 1093–1106 (1997)MathSciNetCrossRef
9.
Eldén, L., Berntsson, F., Regińska, T.: Wavelet and Fourier methods for solving the sideways heat equation. SIAM J. Sci. Comput. 21(6), 2187–2205 (2000)MathSciNetCrossRef
10.
Fu, C.L., Xiong, X.T., Li, H.F., Zhu, Y.B.: Wavelet and spectral regularization methods for a sideways parabolic equation. Appl. Math. Comput. 160(3), 881–908 (2005)MathSciNetMATH
11.
Xiong, X.T., Fu, C.L.: A spectral regularization method for solving surface heat flux on a general sideways parabolic. Appl. Math. Comput. 197(1), 358–365 (2008)MathSciNetMATH
12.
Lele, S.K.: Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103(1), 16–42 (1992)MathSciNetCrossRef
Metadata
Title
A Compact Filter Regularization Method for Solving Sideways Heat Equation
Authors
Ankita Shukla
Mani Mehra
Copyright Year
2020
Book
Numerical Computations: Theory and Algorithms

Print ISBN: 978-3-030-40615-8

Electronic ISBN: 978-3-030-40616-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-40616-5_45

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