Canadian Society of Applied and Industrial Mathematics (CAIMS 2016): A stabilized marching scheme for solving the inverse problem of degenerate diffusion model
Date:
Abstract: In this study, a one-dimensional inverse heat conduction problem with unknown nonlinear boundary conditions is investigated. Nonlinear boundary conditions are imposed involving both the flux and the temperature. The heat transfer coefficient depends on the boundary temperature, and the dependence has a complicated or unknown structure. A numerical algorithm is generated based on a space marching scheme and the mollification method, and its stability and convergence are analyzed. Two numerical examples are tested to illustrate the efficiency of the proposed algorithm.
Conference page: http://www.caims2016.caims.ca/welcome2016.html