Regularization and error estimates for nonhomogeneous backward heat problems

Date

2006-01-11

Authors

Dang, Duc Trong
Nguyen, Huy Tuan

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this article, we study the inverse time problem for the non-homogeneous heat equation which is a severely ill-posed problem. We regularize this problem using the quasi-reversibility method and then obtain error estimates on the approximate solutions. Solutions are calculated by the contraction principle and shown in numerical experiments. We obtain also rates of convergence to the exact solution.

Description

Keywords

Backward heat problem, Ill-posed problem, Contraction principle, Quasi-reversibility methods

Citation

Dang, D. T., & Nguyen, H. T. (2006). Regularization and error estimates for nonhomogeneous backward heat problems. <i>Electronic Journal of Differential Equations, 2006</i>(04), pp. 1-10.

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Attribution 4.0 International

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