Asymptotic numerical analysis of the diffusion-discrete absorption equation

作者：Kurbatova P; Panasenko G^*; Volpert V

来源：Mathematical Methods in the Applied Sciences, 2012, 35(4): 438-444.

DOI：10.1002/mma.1572

• diffusion-discrete absorption equation
• homogenization

The diffusion-discrete absorption (DDA) equation is considered. This equation contains the standard diffusion term and the discrete sorption expressed by a sum of large number of d-functions with the support at a non-uniform mesh multiplied by the unknown concentration). The main result of the paper is the homogenization (continualization) of this equation when the small parameter is the characteristic step h of the mesh. The error estimates are proved for the difference of the exact solution of the DDA equation and the solution of the homogenized differential equation.

• 出版日期2012-3-15