Numerical simulations of systems of PDEs by variational iteration method

B. Batiha, Mohd. Salmi Md. Noorani, Ishak Hashim, K. Batiha

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this Letter, a general framework of the variational iteration method (VIM) is presented for solving systems of linear and nonlinear partial differential equations (PDEs). In VIM, a correction functional is constructed by a general Lagrange's multiplier which can be identified via a variational theory. VIM yields an approximate solution in the form of a rapid convergent series. Comparison with the exact solutions shows that VIM is a powerful method for the solution of linear and nonlinear systems of PDEs.

Original languageEnglish
Pages (from-to)822-829
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume372
Issue number6
DOIs
Publication statusPublished - 4 Feb 2008

Fingerprint

partial differential equations
iteration
simulation
Lagrange multipliers
linear systems
nonlinear systems

Keywords

  • Lagrange multiplier
  • Systems of PDEs
  • Variational iteration method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Numerical simulations of systems of PDEs by variational iteration method. / Batiha, B.; Md. Noorani, Mohd. Salmi; Hashim, Ishak; Batiha, K.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 6, 04.02.2008, p. 822-829.

Research output: Contribution to journalArticle

@article{5847fff9916844e2940ef3ef817b2822,
title = "Numerical simulations of systems of PDEs by variational iteration method",
abstract = "In this Letter, a general framework of the variational iteration method (VIM) is presented for solving systems of linear and nonlinear partial differential equations (PDEs). In VIM, a correction functional is constructed by a general Lagrange's multiplier which can be identified via a variational theory. VIM yields an approximate solution in the form of a rapid convergent series. Comparison with the exact solutions shows that VIM is a powerful method for the solution of linear and nonlinear systems of PDEs.",
keywords = "Lagrange multiplier, Systems of PDEs, Variational iteration method",
author = "B. Batiha and {Md. Noorani}, {Mohd. Salmi} and Ishak Hashim and K. Batiha",
year = "2008",
month = "2",
day = "4",
doi = "10.1016/j.physleta.2007.08.032",
language = "English",
volume = "372",
pages = "822--829",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "6",

}

TY - JOUR

T1 - Numerical simulations of systems of PDEs by variational iteration method

AU - Batiha, B.

AU - Md. Noorani, Mohd. Salmi

AU - Hashim, Ishak

AU - Batiha, K.

PY - 2008/2/4

Y1 - 2008/2/4

N2 - In this Letter, a general framework of the variational iteration method (VIM) is presented for solving systems of linear and nonlinear partial differential equations (PDEs). In VIM, a correction functional is constructed by a general Lagrange's multiplier which can be identified via a variational theory. VIM yields an approximate solution in the form of a rapid convergent series. Comparison with the exact solutions shows that VIM is a powerful method for the solution of linear and nonlinear systems of PDEs.

AB - In this Letter, a general framework of the variational iteration method (VIM) is presented for solving systems of linear and nonlinear partial differential equations (PDEs). In VIM, a correction functional is constructed by a general Lagrange's multiplier which can be identified via a variational theory. VIM yields an approximate solution in the form of a rapid convergent series. Comparison with the exact solutions shows that VIM is a powerful method for the solution of linear and nonlinear systems of PDEs.

KW - Lagrange multiplier

KW - Systems of PDEs

KW - Variational iteration method

UR - http://www.scopus.com/inward/record.url?scp=38149076369&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38149076369&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2007.08.032

DO - 10.1016/j.physleta.2007.08.032

M3 - Article

VL - 372

SP - 822

EP - 829

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 6

ER -