Dang Duc Trong, Pham Hoang Quan, Nguyen Huy Tuan
Abstract:
In this article, a modified quasi-boudary regularization method
for solving nonlinear backward heat equation is given.
Sharp error estimates for the approximate solutions,
and numerical examples to illustrate the effectiveness
our method are provided. This work extends to the nonlinear
case earlier results by the authors [33,34] and by
Clark and Oppenheimer [6].
Submitted June 19, 2009. Published September 10, 2009.
Math Subject Classifications: 35K05, 35K99, 47J06, 47H10.
Key Words: Backward heat problem; nonlinearly Ill-posed problem,
quasi-boundary value methods; quasi-reversibility methods,
contraction principle.
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Dang Duc Trong Department of Mathematics and Informatics Hochiminh City National University 227 Nguyen Van Cu, Q. 5, Hochiminh City, Vietnam email: ddtrong@mathdep.hcmuns.edu.vn |
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Pham Hoang Quan Department of Mathematics, Sai Gon University 273 An Duong Vuong, Ho Chi Minh city, Vietnam email: tquan@pmail.vnn.vn |
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Nguyen Huy Tuan Department of Information Technology and Mathematics Ton Duc Thang University 98 Ngo Tat To, Hochiminh City, Vietnam email: tuanhuy_bs@yahoo.com |
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