A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations

A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations

Abstract This paper presents two high-order exponential time differencing precise integration methods (PIMs) in combination with a spatially global sixth-order compact finite difference scheme (CFDS) for solving parabolic equations with high accuracy. One scheme is a modification of the compact fini...

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Bibliographic Details
Main Authors: Changkai Chen, Xiaohua Zhang, Zhang Liu, Yage Zhang
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Advances in Difference Equations
Subjects:
Compact finite difference scheme
Precise integration method
Padé approximation
Taylor approximation
Strang splitting method
Online Access:https://doi.org/10.1186/s13662-019-2484-7

Internet

https://doi.org/10.1186/s13662-019-2484-7

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