Approximate analytic solutions for a two-dimensional mathematical model of a packed-bed electrode using the Adomian decomposition method

作者：Qin Xiao Ying; Sun Yan Ping^*

来源：Applied Mathematics and Computation, 2009, 215(1): 270-275.

DOI：10.1016/j.amc.2009.05.012

• System of second-order partial differential equations
• Neumann boundary conditions
• Non-standard boundary conditions
• Adomian decomposition method

In this paper we solve a system of second-order partial differential equations with nonstandard boundary conditions. This system of equations is a mathematical model that describes distributions of the overpotential and reactant concentration in a working packed-bed electrode for an electrochemical reactor. To ensure the existence and uniqueness of the solutions for this model we choose standard instead of non-standard boundary conditions, and obtain approximate analytic solutions in the form of a series that rapidly converges using the Adomian decomposition method. The method is easily implemented using the symbol operations of scientific computational software such as MATLAB.

• 出版日期2009-9-1
• 单位太原理工大学