[PDF] Top 20 Stability estimate and regularization for a radially symmetric inverse heat conduction problem

... of inverse problems such as the IHCP [], the Cauchy problem of Laplace equation [, ], the backward heat conduction problem [], the inverse source identification problems ... See full document

... the problem of identifying a boundary condition by the method of ...Tikhonov regularization method was ap- plied for an axisymmetric backward heat equation in ...Tikhonov regularization) to ... See full document

... of heat conduction [5] [6], so many models have been proposed to describe this procedure; among them the biparabolic model proposed in [7] can give a more adequate mathematical de- scription for the process ... See full document

... element-based inverse heat conduction method for determining the temperature on a moving ...dependent heat flux using the temperature distribution at a point in some multi layer systems has ... See full document

... the problem by eliminating high frequencies of the noisy data directly from the ...the inverse heat conduction problem ...various inverse problems, e.g. the problem of a ... See full document

... numerical stability is discussed. It is shown that applying Tikhonov regularization method with GCV criterion for solving the final systems of equation (36), resulted in quite satisfactory findings that ... See full document

... an inverse problem in one-dimensional space with two general procedures, function specification and regularization meth- ods, and a method of combining these, trial function method, and have im- ... See full document

... famous problem and has been considered by many authors by different methods ...backward heat conduction problem and get some error ...this problem by using a non-local boundary value ... See full document

... conditional stability for the IHCP ...Tikhonov regularization method. An order optimal error estimate for the ap- proximate solution is obtained with a suitable choice of regularization ... See full document

... sideways heat equation in semi- unbounded region by applying the wavelet dual least squares method, which is based on the family of Meyer ...general regularization theory, we conclude that our error ... See full document

... ill-posed problem into a family of well-posed fourth-order problems that depend on a regularization parameter ...of inverse problems such as inverse heat conduction ... See full document

... In order to obtain stable numerical solutions, we propose two regularization methods to solve the problem. As was shown in the previous section, for the linear biharmonic problem (1.1), its solution ... See full document

... Abstract. This paper describes an application of intelligent algorithms to reconstruct the boundary condition of the second kind in the fractional heat conduction equation. For this purpose, a functional ... See full document

... First, we transform the inverse Sturm-Liouville problem into a parameter identification problem governed by a parabolic type partial differential equation PDE. Then, a one-step group-preserving scheme ... See full document

... [10] R. Mullin and G.-C. Rota, On the foundations of combinatorial theory. III. The- ory of binomial enumeration, Graph Theory and Its Applications (Proc. Advanced Sem., Math. Research Center, Univ. of Wisconsin, ... See full document

... From Figure 1, Figure 2 and Table 1, we can see that our proposed method is stable and feasible. Figure 1 indicates that, with the increase of T, the construction effects become worse, this is because the information of ... See full document

... prescribed heat sources and/or body forces, and appropriate initial and boundary conditions for the temperature, normal heat flux, displacement and traction ...so-called inverse problem. A ... See full document

... non-linear inverse heat conduction problem with moving boundary ...surface heat flux, surface temperature, and heat transfer coefficient on the moving ...of inverse ... See full document

... Tikhonov regularization, as well as a local approach based on regularizing the numerical differentiation (once in time and twice in space) of the noisy measured temperature ... See full document

... the inverse problem using the information in the form of infrared images it is needed to use effective, in terms of computational cost and accuracy, algorithms both for the solution of the problem ... See full document