Assessment of modified variational iteration method in BVPs of high–order differential equations
Assessment of modified variational iteration method in BVPs of high–order differential equations
This study has been devoted to investigate the semi-analytical solution of nonlinear differential equations with boundary value problems (BVPs). Modified variation iteration method has been utilized to solve some BVPs nonlinear differential equations. In this method, general lagrange multipliers have been introduced to construct correction functions for the problems. The multipliers can be identified optimally via the variational theory. The results have been compared with those of exact solutions and Homotopy Analysis Method (HAM). A clear conclusion can be drawn from the numerical results that proposed method provides excellent approximations to the solutions of this kind of problems in the terms of simplicity and accuracy, thus, it can be easily extended to other BVPs nonlinear differential equations and so can be found widely applicable in engineering sciences.
modify variational iteration method, fourth-order differential equations, boundary value problems
4192-4197
Kazemnia, M.
4a17df18-3d69-4d33-bcac-340946dde920
Zahedi, S.A.
e7a49d9e-dfd2-4f3e-a640-e0f7d6ebb6c2
Vaezi, M.
e2c61050-782f-427f-9499-d5cd1e5fef91
Tolou, N.
66c2b8c9-078a-456d-bca1-bad958269879
13 March 2008
Kazemnia, M.
4a17df18-3d69-4d33-bcac-340946dde920
Zahedi, S.A.
e7a49d9e-dfd2-4f3e-a640-e0f7d6ebb6c2
Vaezi, M.
e2c61050-782f-427f-9499-d5cd1e5fef91
Tolou, N.
66c2b8c9-078a-456d-bca1-bad958269879
Kazemnia, M., Zahedi, S.A., Vaezi, M. and Tolou, N.
(2008)
Assessment of modified variational iteration method in BVPs of high–order differential equations.
Journal of Applied Sciences, 8 (22), .
Abstract
This study has been devoted to investigate the semi-analytical solution of nonlinear differential equations with boundary value problems (BVPs). Modified variation iteration method has been utilized to solve some BVPs nonlinear differential equations. In this method, general lagrange multipliers have been introduced to construct correction functions for the problems. The multipliers can be identified optimally via the variational theory. The results have been compared with those of exact solutions and Homotopy Analysis Method (HAM). A clear conclusion can be drawn from the numerical results that proposed method provides excellent approximations to the solutions of this kind of problems in the terms of simplicity and accuracy, thus, it can be easily extended to other BVPs nonlinear differential equations and so can be found widely applicable in engineering sciences.
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Published date: 13 March 2008
Keywords:
modify variational iteration method, fourth-order differential equations, boundary value problems
Organisations:
Engineering Science Unit
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Local EPrints ID: 348245
URI: http://eprints.soton.ac.uk/id/eprint/348245
ISSN: 1812-5654
PURE UUID: a08303b5-82b5-4d59-ad9a-498892e5545d
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Date deposited: 11 Feb 2013 11:07
Last modified: 08 Jan 2022 17:57
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Author:
M. Kazemnia
Author:
S.A. Zahedi
Author:
M. Vaezi
Author:
N. Tolou
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