Numerical simulation for a two-dimensional variable-order nonlinear sub-diffusion equation

摘要：

In this paper, we study numerical simulation for a two-dimensional variable-order nonlinear sub-diffusion equation in the Caputo sense, a numerical scheme is developed to solve this equation. The convergence, stability and solvability of the numerical scheme are analyzed by Fourier analysis. In addition, our theoretical analysis results is supported by the numerical example.

关键词： a two-dimensional variable-order nonlinear sub-diffusion equation in the Caputo sense the Caputo variable-order partial derivative convergence stability solvability Fourier analysis.

作者: Chang-Ming Chen

作者单位: School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-9

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）