Variational iteration method for fractional heat- and wave-like equations

Yulita Molliq R; M. S.M. Noorani; I. Hashim

doi:10.1016/j.nonrwa.2008.02.026

Variational iteration method for fractional heat- and wave-like equations

Yulita Molliq R
, M. S.M. Noorani
, I. Hashim

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

157 Scopus citations

Abstract

This paper applies the variational iteration method to obtaining analytical solutions of fractional heat- and wave-like equations with variable coefficients. Comparison with the Adomian decomposition method shows that the VIM is a powerful method for the solution of linear and nonlinear fractional differential equations.

Original language	English
Pages (from-to)	1854-1869
Number of pages	16
Journal	Nonlinear Analysis: Real World Applications
Volume	10
Issue number	3
DOIs	https://doi.org/10.1016/j.nonrwa.2008.02.026
State	Published - Jun 2009
Externally published	Yes

Keywords

Adomian decomposition method
Fractional heat- and wave-like equations
Variational iteration method

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10.1016/j.nonrwa.2008.02.026

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@article{a837379065cf4b918053beb788232098,

title = "Variational iteration method for fractional heat- and wave-like equations",

abstract = "This paper applies the variational iteration method to obtaining analytical solutions of fractional heat- and wave-like equations with variable coefficients. Comparison with the Adomian decomposition method shows that the VIM is a powerful method for the solution of linear and nonlinear fractional differential equations.",

keywords = "Adomian decomposition method, Fractional heat- and wave-like equations, Variational iteration method",

author = "\{Molliq R\}, Yulita and Noorani, \{M. S.M.\} and I. Hashim",

year = "2009",

month = jun,

doi = "10.1016/j.nonrwa.2008.02.026",

language = "English",

volume = "10",

pages = "1854--1869",

journal = "Nonlinear Analysis: Real World Applications",

issn = "1468-1218",

publisher = "Elsevier B.V.",

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T1 - Variational iteration method for fractional heat- and wave-like equations

AU - Molliq R, Yulita

AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2009/6

Y1 - 2009/6

N2 - This paper applies the variational iteration method to obtaining analytical solutions of fractional heat- and wave-like equations with variable coefficients. Comparison with the Adomian decomposition method shows that the VIM is a powerful method for the solution of linear and nonlinear fractional differential equations.

AB - This paper applies the variational iteration method to obtaining analytical solutions of fractional heat- and wave-like equations with variable coefficients. Comparison with the Adomian decomposition method shows that the VIM is a powerful method for the solution of linear and nonlinear fractional differential equations.

KW - Adomian decomposition method

KW - Fractional heat- and wave-like equations

KW - Variational iteration method

UR - https://www.scopus.com/pages/publications/60549112414

U2 - 10.1016/j.nonrwa.2008.02.026

DO - 10.1016/j.nonrwa.2008.02.026

M3 - Article

AN - SCOPUS:60549112414

SN - 1468-1218

VL - 10

SP - 1854

EP - 1869

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 3

ER -

Variational iteration method for fractional heat- and wave-like equations

Abstract

Keywords

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