Numerical analysis of fourth-order boundary value problems in fluid mechanics and mathematics

Elham Hosseinzadeh; Amin Barari; Fama Fouladi; Davood Ganji Domairry

doi:10.2298/TSCI10041101H

Numerical analysis of fourth-order boundary value problems in fluid mechanics and mathematics

Elham Hosseinzadeh, Amin Barari, Fama Fouladi, Davood Ganji Domairry

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Abstract

In this paper He's variational iteration method is used to solve some examples of linear and non-linear forth-order boundary value problems. The first problem compared with homotopy analysis method solution and the other ones with the exact solution. The results show the high accuracy and speed of convergence of this. method. is found that the variational iteration method is a powerful method for solving of the non-linear equations.

Original language	English
Journal	Thermal Science
Volume	14
Issue number	4
Pages (from-to)	1101-1109
ISSN	0354-9836
DOIs	https://doi.org/10.2298/TSCI10041101H
Publication status	Published - 2010

Keywords

Magnetohydrodynamics
Boundary value problems
Fourth-order differential equations
Variational iteration method

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title = "Numerical analysis of fourth-order boundary value problems in fluid mechanics and mathematics",

abstract = "In this paper He's variational iteration method is used to solve some examples of linear and non-linear forth-order boundary value problems. The first problem compared with homotopy analysis method solution and the other ones with the exact solution. The results show the high accuracy and speed of convergence of this. method. is found that the variational iteration method is a powerful method for solving of the non-linear equations.",

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T1 - Numerical analysis of fourth-order boundary value problems in fluid mechanics and mathematics

AU - Hosseinzadeh, Elham

AU - Barari, Amin

AU - Fouladi, Fama

AU - Domairry, Davood Ganji

PY - 2010

Y1 - 2010

N2 - In this paper He's variational iteration method is used to solve some examples of linear and non-linear forth-order boundary value problems. The first problem compared with homotopy analysis method solution and the other ones with the exact solution. The results show the high accuracy and speed of convergence of this. method. is found that the variational iteration method is a powerful method for solving of the non-linear equations.

AB - In this paper He's variational iteration method is used to solve some examples of linear and non-linear forth-order boundary value problems. The first problem compared with homotopy analysis method solution and the other ones with the exact solution. The results show the high accuracy and speed of convergence of this. method. is found that the variational iteration method is a powerful method for solving of the non-linear equations.

KW - Magnetohydrodynamics

KW - Boundary value problems

KW - Fourth-order differential equations

KW - Variational iteration method

U2 - 10.2298/TSCI10041101H

DO - 10.2298/TSCI10041101H

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JO - Thermal Science

JF - Thermal Science

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Numerical analysis of fourth-order boundary value problems in fluid mechanics and mathematics

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Keywords

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