Homotopy Analysis Method in Nonlinear Differential Equations is popular PDF and ePub book, written by Shijun Liao in 2012-06-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Homotopy Analysis Method in Nonlinear Differential Equations can be Read Online from any device for your convenience.
Homotopy Analysis Method in Nonlinear Differential Equations Book PDF Summary
"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.
Detail Book of Homotopy Analysis Method in Nonlinear Differential Equations PDF
- Author : Shijun Liao
- Release : 22 June 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642251320
- Genre : Mathematics
- Total Page : 566 pages
- Language : English
- PDF File Size : 18,7 Mb
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