Title : Two-phase nonlinear inverse Stefan problem in one dimension: a meshless approach
Author : Mr. Khasim Pasha Syed, Mr. N Koteswar Rao, Ms. P Himabindu
Abstract :
For the one-dimensional, two-phase, inverse linear Stefan problem, we expand a meshless approach of basic solutions recently proposed by the authors to the nonlinear case. This latter scenario, which is more realistic from a practical standpoint, likewise treats the free surface as uncertain. A linear combination of the basic solutions to the heat equation is used to estimate the solution in each phase, building on past research. Since one must deal with a nonlinear minimization issue in the current scenario in order to locate the free surface, implementation and analysis are more challenging. Additionally, the inverse problem is poorly posed since even tiny inaccuracies in the measured input data might result in significant variations from the ideal outcome.Consequently, regularization must be included in the target function that is reduced in order to arrive at a reliable answer. Results from calculations are shown and discussed.
