Regularization and error estimates for nonhomogeneous backward heat problems
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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. Electronic Journal of Differential Equations, 2006(04), pp. 1-10.
Rights
Attribution 4.0 International