نتایج جستجو برای: nonlinear backward inverse heat conduction problem

تعداد نتایج: 1364533  

2006
Masaru IKEHATA

An inverse source problem for the heat equation is considered. Extraction formulae for information about the time and location when and where the unknown source of the equation firstly appeared are given from a single lateral boundary measurement. New roles of the plane progressive wave solutions or their complex versions for the backward heat equation are given. AMS: 35R30, 80A23

Journal: :TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B 2002

2007
Xiang-Tuan Xiong Chu-Li Fu Zhi Qian R. E. Showalter N. S. Mera S. M. Kirkup ZHI QIAN

We introduce three spectral regularization methods for solving a backward heat conduction problem (BHCP). For the three spectral regularization methods, we give the stability error estimates with optimal order under an a-priori and an a-posteriori regularization parameter choice rule. Numerical results show that our theoretical results are effective.

2012
Tuan H. Nguyen Tri V. Phan Hoa V. Ngo

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. These estimates prove that our method is effective.

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