Numerical Gradient Schemes for Heat Equations Based on the Collocation Polynomial and Hermite Interpolation

Numerical Gradient Schemes for Heat Equations Based on the Collocation Polynomial and Hermite Interpolation

As is well-known, the advantage of the high-order compact difference scheme (H-OCD) is that it is unconditionally stable and convergent on the order O ( τ 2 + h 4 ) (where τ is the time step size and h is the mesh size), under the maximum norm for a class of nonline...

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Bibliographic Details
Main Authors: Hou-Biao Li, Ming-Yan Song, Er-Jie Zhong, Xian-Ming Gu
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Mathematics
Subjects:
heat equation
compact difference schemes
numerical gradient
collocation polynomial
Hermite interpolation
Richardson extrapolation
Online Access:http://www.mdpi.com/2227-7390/7/1/93

Internet

http://www.mdpi.com/2227-7390/7/1/93

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