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.
An Efficient High Order Algorithm for Solving Systems of 3-D Reaction-diffusion EquationsJournal of Computational and Applied Mathematics
Citation InformationGu, 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.