Solving space-fractional Cauchy problem by modified finite-difference discretization scheme

Solving space-fractional Cauchy problem by modified finite-difference discretization scheme

This paper deals with the stability convergence analysis for SFCE in the sense of Riemann-Liouville derivative. A modified FDDS is developed utilizing the fractionally-shifted Grünwald formula in handling the SFCE. In this orientation, a novel operational matrix based on the implicit scheme is propo...

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Bibliographic Details
Main Authors: Omar Abu Arqub, Reem Edwan, Mohammed Al-Smadi, Shaher Momani
Format: Article
Language:English
Published: Elsevier 2020-08-01
Series:Alexandria Engineering Journal
Subjects:
Finite difference method
Cauchy equation
Riemann-Liouville fractional derivative
Grünwald-Letnikov formula
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820301022

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http://www.sciencedirect.com/science/article/pii/S1110016820301022

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