An improved error bound on the boundary inversion for a sideways heat equation

São Paulo Journal of Mathematical Sciences ◽

10.1007/s40863-018-0107-y ◽

2018 ◽

Vol 14 (1) ◽

pp. 287-300

Author(s):

Zhenming Zheng ◽

Zhenping Li ◽

Xiangtuan Xiong

Keyword(s):

Heat Equation ◽

Error Bound ◽

Sideways Heat Equation

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A Note on Wavelet and Fourier Methods for Solving the Sideways Heat Equation

Advances in Intelligent and Soft Computing - Fuzzy Engineering and Operations Research ◽

10.1007/978-3-642-28592-9_44 ◽

2012 ◽

pp. 423-431

Author(s):

Yi-long Wang ◽

Yong-ming Li

Keyword(s):

Heat Equation ◽

Fourier Methods ◽

Sideways Heat Equation

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Regularization for a fractional sideways heat equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.04.035 ◽

2014 ◽

Vol 255 ◽

pp. 28-43 ◽

Author(s):

Ming Li ◽

Xiang-Xiang Xi ◽

Xiang-Tuan Xiong

Keyword(s):

Heat Equation ◽

Sideways Heat Equation

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Sequential Solution of the Sideways Heat Equation by Windowing of the Data

Inverse Problems in Engineering ◽

10.1080/1068276021000048564 ◽

2003 ◽

Vol 11 (2) ◽

pp. 91-103 ◽

Author(s):

Fredrik Berntsson

Keyword(s):

Heat Equation ◽

Sideways Heat Equation ◽

Sequential Solution

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Optimal error bound and generalized Tikhonov regularization for identifying an unknown source in the heat equation

Journal of Mathematical Chemistry ◽

10.1007/s10910-010-9774-3 ◽

2010 ◽

Vol 49 (3) ◽

pp. 765-775 ◽

Author(s):

Ailin Qian ◽

Yan Li

Keyword(s):

Heat Equation ◽

Error Bound ◽

Tikhonov Regularization ◽

Optimal Error ◽

Unknown Source ◽

Optimal Error Bound

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Solving the sideways heat equation by a wavelet - Galerkin method

Inverse Problems ◽

10.1088/0266-5611/13/4/014 ◽

1997 ◽

Vol 13 (4) ◽

pp. 1093-1106 ◽

Author(s):

Teresa Reginska ◽

Lars Eldén

Keyword(s):

Heat Equation ◽

Galerkin Method ◽

Wavelet Galerkin Method ◽

Sideways Heat Equation

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Optimal stable approximations for the sideways heat equation

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip.1997.5.3.287 ◽

1997 ◽

Vol 5 (3) ◽

Author(s):

U. TAUTENHAHN

Keyword(s):

Heat Equation ◽

Sideways Heat Equation

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Two new regularization methods for solving sideways heat equation

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0564-0 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Huy Tuan Nguyen ◽

Vu Cam Hoan Luu

Keyword(s):

Heat Equation ◽

Regularization Methods ◽

Sideways Heat Equation

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Numerical solution of the sideways heat equation by difference approximation in time

Inverse Problems ◽

10.1088/0266-5611/11/4/017 ◽

1995 ◽

Vol 11 (4) ◽

pp. 913-923 ◽

Author(s):

L Elden

Keyword(s):

Heat Equation ◽

Numerical Solution ◽

Difference Approximation ◽

Sideways Heat Equation

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The multi-resolution method applied to the sideways heat equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.11.025 ◽

2005 ◽

Vol 309 (2) ◽

pp. 661-673 ◽

Author(s):

Jinru Wang

Keyword(s):

Heat Equation ◽

Resolution Method ◽

Sideways Heat Equation

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An 'optimal filtering' method for the sideways heat equation

Inverse Problems ◽

10.1088/0266-5611/6/4/013 ◽

1990 ◽

Vol 6 (4) ◽

pp. 681-696 ◽

Author(s):

T I Seidman ◽

L Elden

Keyword(s):

Heat Equation ◽

Optimal Filtering ◽

Filtering Method ◽

Sideways Heat Equation

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