Bernstein-Polynomials-Based Highly Accurate Methods for One-Dimensional Interface Problems

A new numerical method based on Bernstein polynomials expansion is proposed for solving one-dimensional elliptic interface problems. Both Galerkin formulation and collocation formulation are constructed to determine the expansion coefficients. In Galerkin formulation, the flux jump condition can be...

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Bibliographic Details
Main Authors: Jiankang Liu, Zhoushun Zheng, Qinwu Xu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/859315