An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation

An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation

Abstract In this paper, we devote ourselves to establishing the unconditionally stable and absolutely convergent optimized finite difference Crank-Nicolson iterative (OFDCNI) scheme containing very few degrees of freedom but holding sufficiently high accuracy for the two-dimensional (2D) Sobolev equ...

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Bibliographic Details
Main Authors: Hong Xia, Zhendong Luo
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Advances in Difference Equations
Subjects:
optimized finite difference Crank-Nicolson iterative scheme
Sobolev equation
proper orthogonal decomposition
stability and convergence
numerical simulation
Online Access:http://link.springer.com/article/10.1186/s13662-017-1253-8

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http://link.springer.com/article/10.1186/s13662-017-1253-8

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