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Nguyen Huy Tuan, Dang Duc Trong (2010). Two regularization methods for backward heat problems with new error estimates. Nonlinear Analysis: Real World Applications. Elsevier.
Abstract. We introduce two new methods for solving a backward heat conduction problem. For these two methods, we give a stability analysis with new error estimates. Meanwhile, we investigate the roles of the regularization parameters in these two methods. Numerical results show that our algorithm is effective.