A fully discrete difference scheme for a diffusion-wave system

Zhi Zhong Sun; Xiaonan Wu

doi:10.1016/j.apnum.2005.03.003

A fully discrete difference scheme for a diffusion-wave system

Zhi Zhong Sun^*, Xiaonan Wu

^*Corresponding author for this work

Department of Mathematics

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

1051 Citations (Scopus)

Abstract

A fully discrete difference scheme is derived for a diffusion-wave system by introducing two new variables to transform the original equation into a low order system of equations. The solvability, stability and L∞ convergence are proved by the energy method. Similar results are provided for a slow diffusion system. A numerical example demonstrates the theoretical results.

Original language	English
Pages (from-to)	193-209
Number of pages	17
Journal	Applied Numerical Mathematics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1016/j.apnum.2005.03.003
Publication status	Published - Feb 2006

User-Defined Keywords

Convergence
Diffusion-wave system
Finite difference
Solvability
Stability

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10.1016/j.apnum.2005.03.003

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title = "A fully discrete difference scheme for a diffusion-wave system",

abstract = "A fully discrete difference scheme is derived for a diffusion-wave system by introducing two new variables to transform the original equation into a low order system of equations. The solvability, stability and L∞ convergence are proved by the energy method. Similar results are provided for a slow diffusion system. A numerical example demonstrates the theoretical results.",

keywords = "Convergence, Diffusion-wave system, Finite difference, Solvability, Stability",

author = "Sun, {Zhi Zhong} and Xiaonan Wu",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (Z.-Z. Sun), [email protected] (X. Wu). 1 Research is supported National Natural Science Foundation of China (Contract grant number 10471023) and by Research Foundation of Southeast University (Contract grant number XJ0307113) and RGC of Hong Kong. 2 Research is supported by RGC of Hong Kong and FRG of Hong Kong Baptist University.",

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AU - Wu, Xiaonan

N1 - Funding Information: * Corresponding author. E-mail addresses: [email protected] (Z.-Z. Sun), [email protected] (X. Wu). 1 Research is supported National Natural Science Foundation of China (Contract grant number 10471023) and by Research Foundation of Southeast University (Contract grant number XJ0307113) and RGC of Hong Kong. 2 Research is supported by RGC of Hong Kong and FRG of Hong Kong Baptist University.

PY - 2006/2

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N2 - A fully discrete difference scheme is derived for a diffusion-wave system by introducing two new variables to transform the original equation into a low order system of equations. The solvability, stability and L∞ convergence are proved by the energy method. Similar results are provided for a slow diffusion system. A numerical example demonstrates the theoretical results.

AB - A fully discrete difference scheme is derived for a diffusion-wave system by introducing two new variables to transform the original equation into a low order system of equations. The solvability, stability and L∞ convergence are proved by the energy method. Similar results are provided for a slow diffusion system. A numerical example demonstrates the theoretical results.

KW - Convergence

KW - Diffusion-wave system

KW - Finite difference

KW - Solvability

KW - Stability

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DO - 10.1016/j.apnum.2005.03.003

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A fully discrete difference scheme for a diffusion-wave system

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