Meshless and multi-resolution collocation techniques for parabolic interface models

摘要

Two new numerical methods based on Haar wavelet collocation and meshless collocation are proposed for solution of parabolic type of time marching interface models. This work is extension of the earlier work (Aziz et al., 2018) from one-dimensional elliptic type interface models to one-dimensional parabolic type interface models. Performance of both the methods is checked in terms of L∞ error norm. Comparison of the proposed methods with the existing methods validates superiority of the methods.