High order locally one-dimensional methods for solving two-dimensional parabolic equations

High order locally one-dimensional methods for solving two-dimensional parabolic equations

Abstract Based on the locally one-dimensional strategy, we propose two high order finite difference schemes for solving two-dimensional linear parabolic equations. In the first method, fourth order approximation in space and (2,2) $(2,2)$ Padé formula in time are considered. These lead to a fourth o...

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Bibliographic Details
Main Authors: Jianhua Chen, Yongbin Ge
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Advances in Difference Equations
Subjects:
Parabolic equations
Locally one-dimensional strategy
Padé approximations
High order methods
Unconditional stability
Online Access:http://link.springer.com/article/10.1186/s13662-018-1825-2

Internet

http://link.springer.com/article/10.1186/s13662-018-1825-2

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