Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967447 | Journal of Computational Physics | 2017 | 23 Pages |
Abstract
In this article, a fully discrete local discontinuous Galerkin (LDG) method with high-order temporal convergence rate is presented and developed to look for the numerical solution of nonlinear time-fractional fourth-order partial differential equation (PDE). In the temporal direction, for approximating the fractional derivative with order αâ(0,1), the weighted and shifted Grünwald difference (WSGD) scheme with second-order convergence rate is introduced and for approximating the integer time derivative, two step backward Euler method with second-order convergence rate is used. For the spatial direction, the LDG method is used. For the numerical theories, the stability is derived and a priori error results are proved. Further, some error results and convergence rates are calculated by numerical procedure to illustrate the effectiveness of proposed method.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Yanwei Du, Yang Liu, Hong Li, Zhichao Fang, Siriguleng He,