TY - JOUR
T1 - An Efficient High Order Algorithm for Solving Systems of 3-D Reaction-diffusion Equations
AU - Gu, Yuanxian
AU - Liao, Wenyuan
AU - Zhu, Jianping
N1 - 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.
PY - 2003/6/1
Y1 - 2003/6/1
N2 - 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.
AB - 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.
KW - High-order algorithms
KW - Approximate factorization
KW - Reaction–diffusion equations
KW - Finite difference algorithm
UR - https://engagedscholarship.csuohio.edu/scimath_facpub/58
UR - http://journals.ohiolink.edu/ejc/article.cgi?issn=03770427&issue=v155i0001&article=1_aehafsso3re
U2 - 10.1016/S0377-0427(02)00889-0
DO - 10.1016/S0377-0427(02)00889-0
M3 - Article
VL - 155
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
ER -