Application of variational iteration method to heat- and wave-like equations

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27 Citations (Scopus)

Abstract

In this Letter, variational iteration method (VIM) is employed to obtain analytical solution for the heat- and wave-like equations with singular behaviors. Comparisons with the exact solution show that the VIM is a powerful method for the solution of linear and nonlinear singular equations.

Original languageEnglish
Pages (from-to)55-61
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume369
Issue number1-2
DOIs
Publication statusPublished - 10 Sep 2007

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wave equations
iteration
heat

Keywords

  • Emden-Fowler-type equations
  • Heat-like equation
  • Variational iteration method
  • Wave-like equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

@article{267976ab75ab494daced57fc4c392fde,
title = "Application of variational iteration method to heat- and wave-like equations",
abstract = "In this Letter, variational iteration method (VIM) is employed to obtain analytical solution for the heat- and wave-like equations with singular behaviors. Comparisons with the exact solution show that the VIM is a powerful method for the solution of linear and nonlinear singular equations.",
keywords = "Emden-Fowler-type equations, Heat-like equation, Variational iteration method, Wave-like equation",
author = "B. Batiha and {Md. Noorani}, {Mohd. Salmi} and Ishak Hashim",
year = "2007",
month = "9",
day = "10",
doi = "10.1016/j.physleta.2007.04.069",
language = "English",
volume = "369",
pages = "55--61",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "1-2",

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T1 - Application of variational iteration method to heat- and wave-like equations

AU - Batiha, B.

AU - Md. Noorani, Mohd. Salmi

AU - Hashim, Ishak

PY - 2007/9/10

Y1 - 2007/9/10

N2 - In this Letter, variational iteration method (VIM) is employed to obtain analytical solution for the heat- and wave-like equations with singular behaviors. Comparisons with the exact solution show that the VIM is a powerful method for the solution of linear and nonlinear singular equations.

AB - In this Letter, variational iteration method (VIM) is employed to obtain analytical solution for the heat- and wave-like equations with singular behaviors. Comparisons with the exact solution show that the VIM is a powerful method for the solution of linear and nonlinear singular equations.

KW - Emden-Fowler-type equations

KW - Heat-like equation

KW - Variational iteration method

KW - Wave-like equation

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