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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.