Higher-order approximations for space-fractional diffusion equation

Second-order and third-order finite difference approximations for fractional derivatives are derived from a recently proposed unified explicit form. The Crank-Nicholson schemes based on these approximations are applied to discretize the space-fractional diffusion equation. We theoretically analyse...

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Bibliographic Details
Main Authors: Anura Gunarathna Wickramarachchi, Haniffa Mohamed Nasir
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2024-12-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1501
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