Numerical solution of 2D and 3D elliptic-type interface models with regular interfaces

摘要

In the current paper, two numerical methods are proposed for the numerical solution of two- and three-dimensional elliptic partial differential equations (PDEs) with regular interfaces. The proposed methods are based on meshless collocation and Haar wavelet collocation. Numerical tests are performed to check accuracy and robustness of the proposed methods. Numerical results of the proposed methods are measured in terms of L error norm to show their better accuracy than the existing methods.