Absorbing boundary conditions for the fractional wave equation

作者：Dea John R^*

来源：Applied Mathematics and Computation, 2013, 219(18): 9810-9820.

DOI：10.1016/j.amc.2013.03.113

• Absorbing boundary conditions
• Fractional wave equation
• Wave propagation
• Open domains
• Finite differences

We present an absorbing boundary condition technique for computational models of the two-dimensional time-fractional wave equation. This technique, adapted from the Sommerfeld radiation condition used for classical second-order wave equations, can significantly reduce the computational overhead required when modeling phenomena in a small portion of a large or infinite domain. The stability and effectiveness of the technique are demonstrated analytically and by numerical examples. Published by Elsevier Inc.

• 出版日期2013-5-15