Sinossi
"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 Jiao Tong University, is a pioneer of the HAM.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Dalla quarta di copertina
"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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Altre edizioni note dello stesso titolo
Risultati della ricerca per Homotopy Analysis Method in Nonlinear Differential...
Edizione Internazionale
Homotopy Analysis Method in Nonlinear Differential Equations, Hardcover edition
Edizione InternazionaleDa: Sizzler Texts, SAN GABRIEL, CA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Hardcover. Condizione: New. Condizione sovraccoperta: New. International Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Codice articolo ABE-7970845521
Compra nuovo
EUR 61,92
Spedizione EUR 8,59
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili
Edizione Internazionale
Homotopy Analysis Method in Nonlinear Differential Equations, Hardcover
Editore:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin, 2012
ISBN 10: 3642251315
ISBN 13: 9783642251313
Nuovo
Rilegato
Da: Aideo Books, San Marino, CA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Hardcover. Condizione: New in new dust jacket. First edition. 2012. INTERNATIONAL EDITI. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. 400 p. Audience: Professional and scholarly. Codice articolo K031H0000684
Compra nuovo
EUR 70,79
Spedizione EUR 4,25
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili