Tuan, Nguyen HuyKirane, MokhtarLong, Le DinhNguyen, Thinh Van2023-05-312023-05-312016-01-15Tuan, N. H., Kirane, M., Le, L. D., & Nguyen, T. V. (2016). Filter regularization for an inverse parabolic problem in several variables. <i>Electronic Journal of Differential Equations, 2016</i>(24), pp. 1-13.1072-6691https://hdl.handle.net/10877/16897The backward heat problem is known to be ill possed, which has lead to the design of several regularization methods. In this article we apply the method of filtering out the high frequencies from the data for a parabolic equation. First we identify two properties that if satisfied they imply the convergence of the approximate solution to the exact solution. Then we provide examples of filters that satisfy the two properties, and error estimates for their approximate solutions. We also provide numerical experiments to illustrate our results.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalIll-posed problemTruncation methodHeat equationRegularizationArticle