A fully discrete difference scheme for a diffusion-wave system

Authors:
Zhi-zhong Sun;Xiaonan Wu
Affiliations:
Department of Mathematics, Southeast University, Nanjing, PR China;Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
Venue:
Applied Numerical Mathematics
Year:
2006

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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.