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