Fourth-order difference solvers for nonlinear delayed fractional sub-diffusion equations with variable coefficients. (2nd October 2017)

• Record Type: Journal Article
• Authors: Xie, Jianqiang; Deng, Dingwen; Zheng, Huasheng
• Is Part Of: International journal of modelling & simulation. Volume 37:Number 4(2017)
• Page Start: 241
• Page End: 251
• Publication Date: 2017-10-02
• Subjects: Delayed fractional sub-diffusion equations -- compact difference scheme -- convergence -- stability; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2017.1358133
• Languages: English
• ISSNs: 0228-6203

Abstract

Abstract: In this paper, a compact difference scheme is established for nonlinear delayed fractional sub-diffusion equations. By the discrete energy method, it is shown that it achieves the convergence rate of in L ∞ - norm, and is unconditionally stable. Here, α is the order of fractional derivative. Besides, the extension of the solver to multi-term time fractional sub-diffusion equations with delays is discussed. Finally, numerical results demonstrate the effectiveness of our solvers.