An application of the Adomian decomposition method for inverse Stefan problem with Neumann's boundary condition

Abstract

In this paper the solution of one-phase inverse Stefan problem with Neumann's boundary condition is presented. This problem consists of the reconstruction of the function which describes the heat flux on the boundary, when the position of the moving interface is well-known. The proposed solution is based on the Adomian decomposition method and the least square method. © Springer-Verlag Berlin Heidelberg 2005.