A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations

A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations

Abstract In this paper, we provide a new type of study approach for the two-dimensional (2D) Sobolev equations. We first establish a semi-discrete Crank-Nicolson (CN) formulation with second-order accuracy about time for the 2D Sobolev equations. Then we directly establish a fully discrete CN finite...

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Bibliographic Details
Main Author: Zhendong Luo
Format: Article
Language:English
Published: SpringerOpen 2016-08-01
Series:Journal of Inequalities and Applications
Subjects:
Crank-Nicolson formulation
Sobolev equation
finite volume element method
error estimates
numerical simulation
Online Access:http://link.springer.com/article/10.1186/s13660-016-1131-z

Internet

http://link.springer.com/article/10.1186/s13660-016-1131-z

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