Numerical methods for solving a two-dimensional nonlinear fractional reaction-subdiffusion equation

摘要：

In this paper, we study numerical methods for solving a two-dimensional nonlinear fractional reaction-subdiffusion equation. The stability, solvability and convergence of a numerical method is discussed by Fourier analysis. Another numerical method for improving temporal accuracy is also constructed. The numerical example validate our theoretical analysis results.

关键词： a two-dimensional nonlinear fractional reaction-subdiffusion equation stability solvability convergence Fourier analysis.

作者: Y. 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: 1-12

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）