Affiliation:
1. College of Science, Hunan University of Science and Engineering, Yongzhou 425100, China
Abstract
In this paper, we consider a fully discrete interpolated coefficient mixed finite element method for semilinear time fractional reaction–diffusion equations. The classic L1 scheme based on graded meshes and new mixed finite element based on triangulation is used for the temporal and spatial discretization, respectively. The interpolation coefficient technique is used to deal with the semilinear term, and the discrete nonlinear system is solved by a Newton-like iterative method. Stability and convergence results for both the original variable and its flux are derived. Numerical experiments confirm our theoretical analysis.
Funder
Scientific Research Foundation of Hunan Provincial Department of Education
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference40 articles.
1. Podlubny, I. (1999). Fractional Differential Equations, Academic Press.
2. Numerical methods for fractional partial differential equations;Li;Int. J. Comput. Math.,2018
3. Li, C., and Zeng, F. (2015). Numerical Methods for Fractional Calculas, Chapman and Hall/CRC Press.
4. Liu, F., Zhuang, P., and Liu, Q. (2015). Numerical Methods for Fractional Partial Differential Equations and Their Applications, Science Press.
5. A space-time spectral method for the time fractional diffusion equation;Li;SIAM J. Numer. Anal.,2009
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献