A numerical method for solving the inverse heat conduction problem without initial value

作者：Wang, Y. B.; Cheng, J.; Nakagawa, J.; Yamamoto, M.^*

来源：Inverse Problems in Science and Engineering, 2010, 18(5): 655-671.

DOI：10.1080/17415971003698615

• inverse heat conduction problem
• truncated Fourier series
• numerical reconstruction

We consider the inverse heat conduction problem for the one-dimensional heat equation, where we are requested to determine a boundary value at one end of a spatial interval over a time interval and an initial value by means of Cauchy data at another end. By the existing theory we can prove the uniqueness in determining both a boundary value and an initial value, and our method does not require any initial value. We test our numerical method and show stable numerical reconstruction.

• 出版日期2010
• 单位复旦大学; 上海大学; 上海师范大学