Some Second-Order σ Schemes Combined with an H1-Galerkin MFE Method for a Nonlinear Distributed-Order Sub-Diffusion Equation
- Resource Type
- article
- Authors
- Yaxin Hou; Cao Wen; Hong Li; Yang Liu; Zhichao Fang; Yining Yang
- Source
- Mathematics, Vol 8, Iss 2, p 187 (2020)
- Subject
- second-order σ scheme
interpolation approximation
h1-galerkin mixed finite element method
nonlinear distributed-order sub-diffusion equation
stability
error estimates
Mathematics
QA1-939
- Language
- English
- ISSN
- 2227-7390
In this article, some high-order time discrete schemes with an H 1 -Galerkin mixed finite element (MFE) method are studied to numerically solve a nonlinear distributed-order sub-diffusion model. Among the considered techniques, the interpolation approximation combined with second-order σ schemes in time is used to approximate the distributed order derivative. The stability and convergence of the scheme are discussed. Some numerical examples are provided to indicate the feasibility and efficiency of our schemes.