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Article
An Efficient High Order Algorithm for Solving Systems of 3-D Reaction-diffusion Equations
Journal of Computational and Applied Mathematics
  • Yuanxian Gu, Dalian University of Technology
  • Wenyuan Liao, Mississippi State University
  • Jianping Zhu, Cleveland State University
Document Type
Article
Publication Date
6-1-2003
Disciplines
Abstract
We discuss an efficient higher order finite difference algorithm for solving systems of 3-D reaction–diffusion equations with nonlinear reaction terms. The algorithm is fourth-order accurate in both the temporal and spatial dimensions. It requires only a regular seven-point difference stencil similar to that used in the standard second-order algorithms, such as the Crank–Nicolson algorithm. Numerical examples are presented to demonstrate the efficiency and accuracy of the new algorithm.
Comments

This research was supported in part by the Visiting Scholar Foundation of University Key Laboratories in China, and by the United States National Science Foundation under Grant DMS 0075009.

DOI
10.1016/S0377-0427(02)00889-0
Citation Information
Gu, Y., Liao, W., and Zhu, J. (2003). An Efficient High Order Algorithm for Solving Systems of 3-D Reaction-diffusion Equations. Journal of Computational and Applied Mathematics, 155(1), 1 - 17, doi: 10.1016/S0377-0427(02)00889-0.