High-Order Compact Difference Scheme and Multigrid Method for Solving the 2D Elliptic Problems

A high-order compact difference scheme for solving the two-dimensional (2D) elliptic problems is proposed by including compact approximations to the leading truncation error terms of the central difference scheme. A multigrid method is employed to overcome the difficulties caused by conventional ite...

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Bibliographic Details
Main Authors: Yan Wang, Yongbin Ge
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/7831731