Q-difference and confluent forms of the lattice Boussinesq equation and the relevant convergence acceleration algorithms

Jian Qing Sun; Yi He; Xing Biao Hu; Hon Wah Tam

doi:10.1063/1.3554693

Q-difference and confluent forms of the lattice Boussinesq equation and the relevant convergence acceleration algorithms

Jian Qing Sun^*
, Yi He
, Xing Biao Hu
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

7 Citations (Scopus)

Abstract

A q-difference lattice Boussinesq equation and its confluent form are proposed. With the help of determinant identity, their molecule solutions are constructed. It is shown that the q-difference lattice Boussinesq equation can be used as a numerical convergence acceleration algorithm to compute the approximation limt → f(t). Numerical examples with the application of this algorithm are presented.

Original language	English
Article number	023522
Journal	Journal of Mathematical Physics
Volume	52
Issue number	2
DOIs	https://doi.org/10.1063/1.3554693
Publication status	Published - 3 Feb 2011

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10.1063/1.3554693

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title = "Q-difference and confluent forms of the lattice Boussinesq equation and the relevant convergence acceleration algorithms",

abstract = "A q-difference lattice Boussinesq equation and its confluent form are proposed. With the help of determinant identity, their molecule solutions are constructed. It is shown that the q-difference lattice Boussinesq equation can be used as a numerical convergence acceleration algorithm to compute the approximation limt → f(t). Numerical examples with the application of this algorithm are presented.",

author = "Sun, \{Jian Qing\} and Yi He and Hu, \{Xing Biao\} and Tam, \{Hon Wah\}",

note = "Funding Information: We would like to thank the referee whose remarks and comments helped us to improve the presentation of the paper. This work was supported by Hong Kong Research Grant Council (Grant No. HKBU202007 and Grant No. HKBU202209), the National Natural Science Foundation of China (Grant No. 11071241), and the knowledge innovation program of LSEC and the Institute of Computational Math., AMSS, CAS.",

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AU - Sun, Jian Qing

AU - He, Yi

AU - Hu, Xing Biao

AU - Tam, Hon Wah

N1 - Funding Information: We would like to thank the referee whose remarks and comments helped us to improve the presentation of the paper. This work was supported by Hong Kong Research Grant Council (Grant No. HKBU202007 and Grant No. HKBU202209), the National Natural Science Foundation of China (Grant No. 11071241), and the knowledge innovation program of LSEC and the Institute of Computational Math., AMSS, CAS.

PY - 2011/2/3

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N2 - A q-difference lattice Boussinesq equation and its confluent form are proposed. With the help of determinant identity, their molecule solutions are constructed. It is shown that the q-difference lattice Boussinesq equation can be used as a numerical convergence acceleration algorithm to compute the approximation limt → f(t). Numerical examples with the application of this algorithm are presented.

AB - A q-difference lattice Boussinesq equation and its confluent form are proposed. With the help of determinant identity, their molecule solutions are constructed. It is shown that the q-difference lattice Boussinesq equation can be used as a numerical convergence acceleration algorithm to compute the approximation limt → f(t). Numerical examples with the application of this algorithm are presented.

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ER -

Q-difference and confluent forms of the lattice Boussinesq equation and the relevant convergence acceleration algorithms

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