An iterative method for solving fractional diffusion‐wave equation involving the Caputo–Weyl fractional derivative | Zendy

Derakhshan Mohammadhossein | Zendy; Aminataei Azim | Zendy

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An iterative method for solving fractional diffusion‐wave equation involving the Caputo–Weyl fractional derivative

Author(s) -

Derakhshan Mohammadhossein,

Aminataei Azim

Publication year - 2021

Publication title -

numerical linear algebra with applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.02

H-Index - 53

eISSN - 1099-1506

pISSN - 1070-5325

DOI - 10.1002/nla.2345

Subject(s) - mathematics , fractional calculus , convergence (economics) , wave equation , diffusion equation , mathematical analysis , derivative (finance) , diffusion , iterative method , mathematical optimization , physics , quantum mechanics , economy , economic growth , financial economics , economics , service (business)

In this paper, we propose a numerical scheme based on the iterative method for solving the fractional diffusion‐wave equation involving the Caputo–Weyl fractional derivative of order 0 < α ≤ 2 . The convergence of the approximate solutions of the fractional diffusion‐wave equation is rigourously established. Moreover, the approximate solutions of the fractional diffusion‐wave equation have been presented graphically.

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