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Modifications of homotopy perturbation & variational iteration methods: Convergence theorems and applications in fluid mechanics and mathematical physics - Softcover
Synopsis
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.
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About the Author
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.
"About this title" may belong to another edition of this title.
- PublisherLAP LAMBERT Academic Publishing
- Publication date2011
- ISBN 10 3846516856
- ISBN 13 9783846516850
- BindingPaperback
- LanguageEnglish
- Number of pages168
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Modifications of homotopy perturbation & variational iteration methods
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LAP LAMBERT Academic Publishing Sep 2011, 2011
ISBN 10: 3846516856
ISBN 13: 9783846516850
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: 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. Seller Inventory # 9783846516850
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Modifications of homotopy perturbation & variational iteration methods : Convergence theorems and applications in fluid mechanics and mathematical physics
Published by
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3846516856
ISBN 13: 9783846516850
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: 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. Seller Inventory # 9783846516850
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Modifications of homotopy perturbation & variational iteration methods
Published by
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3846516856
ISBN 13: 9783846516850
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Condition: 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. Seller Inventory # 5496089
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Modifications of homotopy perturbation & variational iteration methods: Convergence theorems and applications in fluid mechanics and mathematical physics
Published by
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3846516856
ISBN 13: 9783846516850
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