Beyond Adomian method: The variational iteration method for solving heat-like and wave-like equations with variable coefficients

Da Hua Shou; Ji Huan He

doi:10.1016/j.physleta.2007.07.011

Beyond Adomian method: The variational iteration method for solving heat-like and wave-like equations with variable coefficients

Da Hua Shou, Ji Huan He

Research output: Journal article publication › Journal article › Academic research › peer-review

58 Citations (Scopus)

Abstract

Recently Adomian method was used to solve various kinds of heat-like and wave-like equations. In this Letter, an alternative approach called the variational iteration method is presented to overcome the demerit of complex calculation of Adomian polynomial. Some examples are given to show the reliability and the efficiency of the variational iteration method.

Original language	English
Pages (from-to)	233-237
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	3
DOIs	https://doi.org/10.1016/j.physleta.2007.07.011
Publication status	Published - 14 Jan 2008

Keywords

Adomian decomposition method
Heat-like equations
Variational iteration method
Wave-like equations

ASJC Scopus subject areas

General Physics and Astronomy

More information

10.1016/j.physleta.2007.07.011

Cite this

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abstract = "Recently Adomian method was used to solve various kinds of heat-like and wave-like equations. In this Letter, an alternative approach called the variational iteration method is presented to overcome the demerit of complex calculation of Adomian polynomial. Some examples are given to show the reliability and the efficiency of the variational iteration method.",

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Beyond Adomian method: The variational iteration method for solving heat-like and wave-like equations with variable coefficients. / Shou, Da Hua; He, Ji Huan.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 3, 14.01.2008, p. 233-237.

Research output: Journal article publication › Journal article › Academic research › peer-review

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AU - He, Ji Huan

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N2 - Recently Adomian method was used to solve various kinds of heat-like and wave-like equations. In this Letter, an alternative approach called the variational iteration method is presented to overcome the demerit of complex calculation of Adomian polynomial. Some examples are given to show the reliability and the efficiency of the variational iteration method.

AB - Recently Adomian method was used to solve various kinds of heat-like and wave-like equations. In this Letter, an alternative approach called the variational iteration method is presented to overcome the demerit of complex calculation of Adomian polynomial. Some examples are given to show the reliability and the efficiency of the variational iteration method.

KW - Adomian decomposition method

KW - Heat-like equations

KW - Variational iteration method

KW - Wave-like equations

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DO - 10.1016/j.physleta.2007.07.011

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

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

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Beyond Adomian method: The variational iteration method for solving heat-like and wave-like equations with variable coefficients

Abstract

Keywords

ASJC Scopus subject areas

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