A second-order linearized difference scheme for a strongly coupled reaction-diffusion system

作者：Cao Hai Yan; Sun Zhi Zhong^*

来源：Numerical Methods for Partial Differential Equations, 2008, 24(1): 9-23.

DOI：10.1002/num.20232

• strongly coupled
• reaction-diffusion
• finite difference
• solvability
• convergence

This article deals with the numerical solution to some models described by the system of strongly coupled reaction-diffusion equations with the Neumann boundary value conditions. A linearized three-level scheme is derived by the method of reduction of order. The uniquely solvability and second-order convergence in L-2-norm are proved by the energy method. A numerical example is presented to demonstrate the accuracy and efficiency of the proposed method.

• 出版日期2008-1
• 单位东南大学