A second order box-type scheme for fractional sub-diffusion equation with spatially variable coefficient under Neumann boundary conditions

A second order box-type scheme for fractional sub-diffusion equation with spatially variable coefficient under Neumann boundary conditions

Abstract In the present work, a box-type difference scheme with convergence order O ( τ 2 + h 2 ) $O(\tau^{2}+h^{2})$ is proposed for the fractional sub-diffusion equation with spatially variable coefficient under Neumann boundary conditions. Here h, τ are space and temporal step length, respectivel...

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Bibliographic Details
Main Author: Pu Zhang
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Advances in Difference Equations
Subjects:
fractional sub-diffusion equation
box-type difference scheme
L 2 − 1 σ $L2-1_{\sigma}$ formula
stability
convergence
Online Access:http://link.springer.com/article/10.1186/s13662-017-1200-8

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http://link.springer.com/article/10.1186/s13662-017-1200-8

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