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Most Downloaded Articles
- Conference announcement “Inverse and Ill-Posed Problems of Mathematical Physics” dedicated to the 80th birthday of Academician M. M. Lavrentiev
- The inverse spectral problem for the Sturm–Liouville operator with discontinuous potential by Sedipkov, Aydys A.
- Chemnitz Symposium on Inverse ProblemsChemnitz, Germany, September 27–28, 2007 by Hofmann, B.
A new version of quasi-boundary value method for a 1-D nonlinear ill-posed heat problem
1Department of Mathematics, Sai Gon University, 273 An Duong Vuong, Q.5, Ho Chi Minh city, Vietnam.
2Department of Mathematics, HoChiMinh City National University, 227 Nguyen Van Cu, Q. 5, Ho Chi Minh city, Vietnam.
3Department of Mathematics, Sai Gon University, 273 An Duong Vuong, Q.5, Ho Chi Minh city, Vietnam.
Citation Information: Journal of Inverse and Ill-posed Problems. Volume 17, Issue 9, Pages 913–932, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2009.053, January 2010
- Published Online:
In this paper, a simple and convenient new regularization method which is called modified quasi-boundary value method for solving nonlinear backward heat equation is given. Some new quite sharp error estimates between the approximate solution are provided and generalize the results in our paper [Trong, Quan, Khanh, and Tuan, Zeitschrift Analysis und ihre Anwendungen 26: 231–245, 2007, Trong and Tuan, Electron. J. Diff. Eqns. 4: 1–10, 2006, Trong and Tuan, Electron. J. Diff. Eqns. 84: 1–12, 2008]. The approximation solution is calculated by the contraction principle. A numerical experiment is given.