Modifications of homotopy perturbation & variational iteration methods: Convergence theorems and applications in fluid mechanics and mathematical physics - Couverture souple

M. Mousa, Mohamed

9783846516850: Modifications of homotopy perturbation & variational iteration methods: Convergence theorems and applications in fluid mechanics and mathematical physics

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ISBN 10 : 3846516856 ISBN 13 : 9783846516850

Editeur : LAP LAMBERT Academic Publishing, 2011

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Pr�sentation de l'�diteur

Solutions of the mathematical models well simulate real-life physical behavior of the physical problems. So, and with the development of computer algebraic systems, many analytical and numerical techniques for obtaining the target solutions have taken a lot of interest. The book includes a detailed investigation of two recently developed analytical methods that show potential in solving nonlinear equations of various kinds (differential, integral, integro-differential, difference-differential) without discretizing the equations or approximating the operators. The considered methods are mainly the homotopy perturbation method (HPM) and the variational iteration method (VIM). In this work, basic ideas of the HPM and VIM are illustrated; convergence theorems of the considered methods for various types of equations are proved; modifications and treatments in HPM and VIM are done; test examples for further illustration of the methods are solved; many applications in fluid mechanics and physics fields are investigated using modified techniques; and finally, all obtained results are verified through the comparison with exact/numerical solutions or previously published results.

Biographie de l'auteur

Dr. Mohamed M. Mousa born in Cairo (1978). He is lecturer at Benha faculty of engineering, Egypt. His areas of research interest are computational mathematics, numerical analysis, applications of fluid mechanics and fractional calculus. He obtained his M.Sc. from Cairo University and his Ph.D. from Al-Farabi Kazakh national University, Kazakhstan.

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�diteurLAP LAMBERT Academic Publishing
Date d'�dition2011
ISBN 10 3846516856
ISBN 13 9783846516850
ReliureBroch�
Langueanglais
Nombre de pages168

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Modifications of homotopy perturbation & variational iteration methods

Mohamed M. Mousa

Edit� par LAP LAMBERT Academic Publishing Sep 2011, 2011

ISBN 10 : 3846516856 ISBN 13 : 9783846516850

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Solutions of the mathematical models well simulate real-life physical behavior of the physical problems. So, and with the development of computer algebraic systems, many analytical and numerical techniques for obtaining the target solutions have taken a lot of interest. The book includes a detailed investigation of two recently developed analytical methods that show potential in solving nonlinear equations of various kinds (differential, integral, integro-differential, difference-differential) without discretizing the equations or approximating the operators. The considered methods are mainly the homotopy perturbation method (HPM) and the variational iteration method (VIM). In this work, basic ideas of the HPM and VIM are illustrated; convergence theorems of the considered methods for various types of equations are proved; modifications and treatments in HPM and VIM are done; test examples for further illustration of the methods are solved; many applications in fluid mechanics and physics fields are investigated using modified techniques; and finally, all obtained results are verified through the comparison with exact/numerical solutions or previously published results. 168 pp. Englisch. N� de r�f. du vendeur 9783846516850

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Modifications of homotopy perturbation & variational iteration methods : Convergence theorems and applications in fluid mechanics and mathematical physics

Mohamed M. Mousa

Edit� par LAP LAMBERT Academic Publishing, 2011

ISBN 10 : 3846516856 ISBN 13 : 9783846516850

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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Solutions of the mathematical models well simulate real-life physical behavior of the physical problems. So, and with the development of computer algebraic systems, many analytical and numerical techniques for obtaining the target solutions have taken a lot of interest. The book includes a detailed investigation of two recently developed analytical methods that show potential in solving nonlinear equations of various kinds (differential, integral, integro-differential, difference-differential) without discretizing the equations or approximating the operators. The considered methods are mainly the homotopy perturbation method (HPM) and the variational iteration method (VIM). In this work, basic ideas of the HPM and VIM are illustrated; convergence theorems of the considered methods for various types of equations are proved; modifications and treatments in HPM and VIM are done; test examples for further illustration of the methods are solved; many applications in fluid mechanics and physics fields are investigated using modified techniques; and finally, all obtained results are verified through the comparison with exact/numerical solutions or previously published results. N� de r�f. du vendeur 9783846516850

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Modifications of homotopy perturbation & variational iteration methods

Mohamed M. Mousa

Edit� par LAP LAMBERT Academic Publishing, 2011

ISBN 10 : 3846516856 ISBN 13 : 9783846516850

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: M. Mousa MohamedDr. Mohamed M. Mousa born in Cairo (1978). He is lecturer at Benha faculty of engineering, Egypt. His areas of research interest are computational mathematics, numerical analysis, applications of fluid mechanics and f. N� de r�f. du vendeur 5496089

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