1. Notes on a new approximate solution of 2-D heat equation backward in time
- Author
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Tuan, Nguyen Huy, Trong, Dang Duc, and Quan, Pham Hoang
- Subjects
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APPROXIMATION theory , *NUMERICAL solutions to heat equation , *ESTIMATION theory , *ERROR analysis in mathematics , *BOUNDARY value problems , *NUMERICAL analysis - Abstract
Abstract: In this paper, we consider a backward heat problem that appears in many applications. This problem is ill-posed. The solution of the problem as the solution exhibits unstable dependence on the given data functions. Using a new regularization method, we regularize the problem and get some new error estimates. Some numerical tests illustrate that the proposed method is feasible and effective. This work is a generalization of many recent papers, including the earlier paper [A new regularized method for two dimensional nonhomogeneous backward heat problem, Appl. Math. Comput. 215(3) (2009) 873–880] and some other authors such as Chu-Li Fu et al. , Campbell et al. . [Copyright &y& Elsevier]
- Published
- 2011
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