Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, we first present the expression of a model of a fourth-order compact finite difference (CFD) scheme for the convection diffusion equation with variable convection coefficient.
Then, we also obtain the fourth-order CFD schemes of the diffusion equation with variable diffusion coefficients.
In addition, a fine description of the sixth-order CFD schemes is also developed for equations with constant coefficients, which is used to discuss certain partial differential equations (PDEs) with arbitrary dimensions.
In this paper, various ways of numerical test calculations are prepared to evaluate performance of the fourth-order CFD and sixth-order CFD schemes, respectively, and the empirical results are proved to verify the effectiveness of the schemes in this paper.
American Psychological Association (APA)
Gao, Yan& Liu, Songlin. 2020. Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1185905
Modern Language Association (MLA)
Gao, Yan& Liu, Songlin. Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions. Journal of Function Spaces No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1185905
American Medical Association (AMA)
Gao, Yan& Liu, Songlin. Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1185905
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185905