Meshless and Multi-Resolution Collocation Techniques for Steady State Interface Models

Abstract

In this paper, two numerical methods are being considered for simulations of 1D elliptic type single and double interface models. The first proposed method is based on Haar wavelet collocation while the second method is based on meshless collocation which is realized on radial basis functions. Numerical experiments are carried out to check performance of both the methods. The accuracy of the methods is assessed in terms of [Formula: see text] error norm. Comparison of numerical results is shown to establish validity and superiority of the methods.