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Inverse Problems in Science and Engineering Volume 21, 2013 - Issue 7
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Articles

An a posteriori truncation method for some Cauchy problems associated with Helmholtz-type equations

Yuan-Xiang ZhangSchool of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
,
Chu-Li FuSchool of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
&
Zhi-Liang DengSchool of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 610054, China
Pages 1151-1168 | Received 03 Apr 2012, Accepted 30 Sep 2012, Published online: 15 Nov 2012

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J. Kokila & M. T. Nair. (2020) Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem. Inverse Problems in Science and Engineering 28:3, pages 402-426.
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Fan Yang, Pan Zhang & Xiao-Xiao Li. (2019) The truncation method for the Cauchy problem of the inhomogeneous Helmholtz equation. Applicable Analysis 98:5, pages 991-1004.
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Zhi Qian & Xiaoli Feng. (2017) A fractional Tikhonov method for solving a Cauchy problem of Helmholtz equation. Applicable Analysis 96:10, pages 1656-1668.
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Articles from other publishers (7)

Zhenping Li, Xiangtuan Xiong, Jun Li & Jiaqi Hou. (2022) A quasi-boundary method for solving an inverse diffraction problem. AIMS Mathematics 7:6, pages 11070-11086.
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Fan Yang, Ping Fan & Xiao-Xiao Li. (2019) Fourier Truncation Regularization Method for a Three-Dimensional Cauchy Problem of the Modified Helmholtz Equation with Perturbed Wave Number. Mathematics 7:8, pages 705.
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Mohamed Denche & Abdelali Benchikha. (2019) An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition. Georgian Mathematical Journal 26:1, pages 35-45.
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Fan Yang, Ya-Ru Sun, Xiao-Xiao Li & Cheng-Ye Ma. (2018) The truncation regularization method for identifying the initial value of heat equation on a spherical symmetric domain. Boundary Value Problems 2018:1.
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Yuan-Xiang Zhang & Liang Yan. (2017) The general a posteriori truncation method and its application to radiogenic source identification for the Helium production–diffusion equation. Applied Mathematical Modelling 43, pages 126-138.
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Dongdong He & Kejia Pan. (2015) An order optimal regularization method for the Cauchy problem of a Laplace equation in an annulus domain. Applied Mathematical Modelling 39:10-11, pages 3063-3074.
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Yuan-Xiang Zhang, Chu-Li Fu & Yun-Jie Ma. (2014) An a posteriori parameter choice rule for the truncation regularization method for solving backward parabolic problems. Journal of Computational and Applied Mathematics 255, pages 150-160.
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