Homotopy analysis method in nonlinear differential equations
"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small...
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| Main Author: | |
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| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2012. |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Homotopy Analysis Method in Nonlinear Differential Equations, Texte imprimé, 9783642251313 • Homotopy Analysis Method in Nonlinear Differential Equations, Texte imprimé, 9783642251337 |
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| 041 | 0 | |a eng | |
| 082 | |a 515.353 | ||
| 100 | 1 | |a Liao, Shijun, |c scientifique. | |
| 245 | 1 | 0 | |a Homotopy analysis method in nonlinear differential equations |c by Shijun Liao. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Basic Ideas Systematic Descriptions Advanced Approaches Convergent Series For Divergent Taylor Series Nonlinear Initial Value Problems Nonlinear Eigenvalue Problems Nonlinear Problems In Heat Transfer Nonlinear Problems With Free Or Moving Boundary Steady-State Similarity Boundary-Layer Flows Unsteady Similarity Boundary-Layer Flows Non-Similarity Boundary-Layer Flows Applications In Numerical Methods. | |
| 505 | 0 | |a Basic Ideas -- Systematic Descriptions -- Advanced Approaches -- Convergent Series For Divergent Taylor Series -- Nonlinear Initial Value Problems -- Nonlinear Eigenvalue Problems -- Nonlinear Problems In Heat Transfer -- Nonlinear Problems With Free Or Moving Boundary -- Steady-State Similarity Boundary-Layer Flows -- Unsteady Similarity Boundary-Layer Flows -- Non-Similarity Boundary-Layer Flows -- Applications In Numerical Methods | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a "Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications. Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are freely available online to make it easy for readers to understand and use the HAM. This book is suitable for researchers and postgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering.Dr. Shijun Liao, a distinguished professor of Shanghai Jiaotong University, is a pioneer of the HAM. | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Mathématiques de l'ingénieur | ||
| 776 | 0 | |t Homotopy Analysis Method in Nonlinear Differential Equations |b Texte imprimé |z 9783642251313 | |
| 776 | 0 | |t Homotopy Analysis Method in Nonlinear Differential Equations |b Texte imprimé |z 9783642251337 | |
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