A higher order non-polynomial spline method for fractional sub-diffusion problems

被引：33

作者：

Li, Xuhao ^{[1
]}

Wong, Patricia J. Y. ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Elect & Elect Engn, 50 Nanyang Ave, Singapore 639798, Singapore

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2017年 / 328卷

关键词：

Parametric spline; Quintic spline; Sub-diffusion equation; Fractional differential equation; Numerical solution; FINITE-DIFFERENCE APPROXIMATION; ARTIFICIAL BOUNDARY-CONDITIONS; NONLINEAR SOURCE-TERM; NUMERICAL SCHEMES; UNBOUNDED DOMAIN; EQUATION; STABILITY; ACCURACY;

D O I：

10.1016/j.jcp.2016.10.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we shall develop a numerical scheme for a fractional sub-diffusion problem using parametric quintic spline. The solvability, convergence and stability of the scheme will be established and it is shown that the convergence order is higherthan some earlier work done. We also present some numerical examples to illustrate the efficiency of the numerical scheme as well as to compare with other methods. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：46 / 65

页数：20

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