A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction–subdiffusion equation

A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction–subdiffusion equation

Abstract In this paper, a high-order numerical scheme is proposed for solving the two-dimensional fractional reaction–subdiffusion equation. The method is based on adopting a third-order weighted and shifted Grünwald difference (WSGD) operator to approximate the time Caputo fractional derivative and...

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Bibliographic Details
Main Authors: Xiaoyong Xu, Da Xu
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Advances in Difference Equations
Subjects:
Two-dimensional reaction–subdiffusion equation
Orthogonal spline collocation
WSGD operator
Caputo derivative
Stability
Convergence
Online Access:http://link.springer.com/article/10.1186/s13662-019-2022-7

Internet

http://link.springer.com/article/10.1186/s13662-019-2022-7

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