A Difference Scheme with Intrinsic Parallelism for Fractional Diffusion-wave Equation with Damping

• 作者: Li-Fei WU Xiao-Zhong YANG Min LI
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 602-616
• 页数: 15页
• 语种: 英文

摘要

Anomalous diffusion is a widespread physical phenomenon,and numerical methods of fractional diffusion models are of important scientific significance and engineering application value.For time fractional diffusion-wave equation with damping,a difference(ASC-N,alternating segment Crank-Nicolson)scheme with intrinsic parallelism is proposed.Based on alternating technology,the ASC-N scheme is constructed with four kinds of Saul'yev asymmetric schemes and Crank-Nicolson(C-N)scheme.The unconditional stability and convergence are rigorously analyzed.The theoretical analysis and numerical experiments show that the ASC-N scheme is effective for solving time fractional diffusion-wave equation.