**ISBN:** 9814551244

**Author:** Shijun Liao

**Language:** English

**Publisher:** World Scientific Pub Co Inc (January 23, 2014)

**Pages:** 428

**Category:** Mathematics

**Subcategory:** Science

**Rating:** 4.3

**Votes:** 225

**Size Fb2:** 1562 kb

**Size ePub:** 1260 kb

**Size Djvu:** 1720 kb

**Other formats:** txt azw mbr lit

The method described in the book can overcome almost all restrictions of other analytic approximation method for nonlinear problems This book is the first in homotopy analysis method, covering the newest advances, contributed by many top experts in different fields.

The method described in the book can overcome almost all restrictions of other analytic approximation method for nonlinear problems This book is the first in homotopy analysis method, covering the newest advances, contributed by many top experts in different fields. To read this book, upload an EPUB or FB2 file to Bookmate.

On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves.

Homotopy Analysis Method in Nonlinear Differential Equations. Monograph –. March 31, 2011. On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves.

Homotopy Analysis Method for Some Boundary Layer Flows of Nanofluids (T Hayat and M Mustafa). The method described in the book can overcome almost all restrictions of other analytic approximation method for nonlinear problems. Homotopy Analysis Method for Fractional Swift–Hohenberg Equation (S Das and K Vishal). HAM-Based Package NOPH for Periodic Oscillations of Nonlinear Dynamic Systems (Y-P Liu). This book is the first in homotopy analysis method, covering the newest advances, contributed by many top experts in different fields.

The homotopy analysis method (HAM) is a semi-analytical technique to solve nonlinear ordinary/partial differential equations. The homotopy analysis method employs the concept of the homotopy from topology to generate a convergent series solution for. The homotopy analysis method employs the concept of the homotopy from topology to generate a convergent series solution for nonlinear systems. This is enabled by utilizing a homotopy-Maclaurin series to deal with the nonlinearities in the system.

Автор: Liao Shijun Название: Advances in the Homotopy Analysis Method Издательство: World Scientific Publishing . Such uniqueness differentiates the HAM from all other analytic approximation methods.

Such uniqueness differentiates the HAM from all other analytic approximation methods. In addition, the HAM can be applied to solve some challenging problems with high nonlinearity.

Find all the books, read about the author, and more. Are you an author? Learn about Author Central. Shijun Liao (Author). ISBN-13: 978-1584884071. It will be useful to specialists working in applied nonlinear analysis. Zentralblatt MATH 1051.

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)

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.

Homotopy analysis method - A new analytic approach for highly nonlinear problems, Shijun Li.

Homotopy analysis method - A new analytic approach for highly nonlinear problems, Shijun Lio. View.

CRC Press, Oct 27, 2003 - Mathematics - 336 pages. This book introduces a powerful new analytic method for. Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity.

Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. The HAM provides a simple way to guarantee the convergence of solution series. In addition, the HAM can be applied to solve some challenging problems with high nonlinearity