A block-centered finite difference method for fractional Cattaneo equation

作者：Li, Xiaoli; Rui, Hongxing^*; Liu, Zhengguang

来源：Numerical Methods for Partial Differential Equations, 2018, 34(1): 296-316.

DOI：10.1002/num.22198

• block-centered finite difference
• fractional Cattaneo equation
• nonuniform rectangular grids
• numerical experiments

In this article, a block-centered finite difference method for fractional Cattaneo equation is introduced and analyzed. The unconditional stability and the global convergence of the scheme are proved rigorously. Some a priori estimates of discrete L-2 norm with optimal order of convergence O(Delta t(3-alpha) + h(2) + k(2)) both for pressure and velocity are established on nonuniform rectangular grids. Moreover, the applicability and accuracy of the scheme are demonstrated by numerical experiments to support our theoretical analysis.

• 出版日期2018-1
• 单位山东大学