A Fully Implicit Finite Difference Scheme for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

摘要：

　　This paper proposes a finite difference scheme for variable-order nonlinear fractional diffusion equation,in which the nonlinear source term is considered implicit.A linear iterative algorithm for nonlinear scheme is introduced.The stability and convergence of the method are proved by discrete energy method.The convergence order of the method is O(τ+h).Some examples demonstrate that the method is efficient and reliable.

关键词： Variable-order nonlinear fractional diffusion equation Fully implicit difference scheme Iterative algorithm Convergence Stability

作者: Wei-yuan Ma Ya-bin Shao Hai-dong Zhang

作者单位: School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 73000, China

会议类型: 国际会议

会议名称: 2013 International Conference on Computational Science and Engineering(2013年计算科学与工程国际学术研讨会)

会议地点: 青岛

会议语种:英文

页码: 161-169

在线出版日期: 2013-07-01（万方平台首次上网日期，不代表论文的发表时间）