Paper Info
Title
Discrete-Time Orthogonal Spline Collocation Method For A Modified Anomalous Diffusion Equation
Abstract
The modified anomalous sub-diffusion equation (MASDE) describes processes that become less anomalous as time progresses. In this paper, based on Crank-Nicolson and weighted and shifted Grunwald difference (WSGD) formula, we develop orthogonal spline collocation (OSC) method with second-order temporal accuracy and fourth-order spatial accuracy for MASDE. The stability and convergence of our numerical schemes are analysed in detail. Also, our numerical results are consistent with our theoretical analysis.
Year
DOI
Venue
2021
10.1080/00207160.2020.1741556
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Keywords
DocType
Volume
Modified anomalous fractional equation, weighted and shifted Grunwald difference operator, orthogonal spline collocation, stability, convergence
Journal
98
Issue
ISSN
Citations 
2
0020-7160
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Haixiang Zhang16412.19
Xuehua Yang200.68
Qiong Tang300.68