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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主要な著者:	Omar Abu Arqub, Reem Edwan, Mohammed Al-Smadi, Shaher Momani
フォーマット:	Artigo
言語:	Inglês
出版事項:	Elsevier 2020-08-01
シリーズ:	Alexandria Engineering Journal
主題:	Finite difference method Cauchy equation Riemann-Liouville fractional derivative Grünwald-Letnikov formula
オンライン･アクセス:	http://www.sciencedirect.com/science/article/pii/S1110016820301022
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