Solving a fourth‐order fractional diffusion‐wave equation in a bounded domain by decomposition method | Zendy

Jafari Hossein | Zendy; Dehghan Mehdi | Zendy; Sayevand Khosro | Zendy

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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

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