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Solving a fourth‐order fractional diffusion‐wave equation in a bounded domain by decomposition method
Author(s) -
Jafari Hossein,
Dehghan Mehdi,
Sayevand Khosro
Publication year - 2008
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20308
Subject(s) - mathematics , fractional calculus , adomian decomposition method , bounded function , domain (mathematical analysis) , convergence (economics) , mathematical analysis , decomposition method (queueing theory) , domain decomposition methods , order (exchange) , space (punctuation) , partial differential equation , diffusion , derivative (finance) , finite element method , computer science , discrete mathematics , physics , finance , financial economics , economics , thermodynamics , economic growth , operating system
In this article, the Adomian decomposition method has been used to obtain solutions of fourth‐order fractional diffusion‐wave equation defined in a bounded space domain. The fractional derivative is described in the Caputo sense. Convergence of the method has been discussed with some illustrative examples. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008