Advances in the Homotopy Analysis Method by Shijun Liao PDF

By Shijun Liao

ISBN-10: 9814551244

ISBN-13: 9789814551243

In contrast to different analytic innovations, the Homotopy research strategy (HAM) is self sufficient of small/large actual parameters. along with, it presents nice freedom to decide on equation kind and resolution expression of comparable linear high-order approximation equations. The HAM offers an easy solution to warrantly the convergence of resolution sequence. Such area of expertise differentiates the HAM from all different analytic approximation equipment. moreover, the HAM should be utilized to unravel a few not easy issues of excessive nonlinearity.

This booklet, edited through the pioneer and founding father of the HAM, describes the present advances of this robust analytic approximation technique for hugely nonlinear difficulties. Coming from various nations and fields of analysis, the authors of every bankruptcy are most sensible specialists within the HAM and its functions.

Readership: Graduate scholars and researchers in utilized arithmetic, physics, nonlinear mechanics, engineering and finance.

Show description

Read or Download Advances in the Homotopy Analysis Method PDF

Best topology books

Lectures on Algebraic Topology (Classics in Mathematics) by Albrecht Dold PDF

Springer is reissuing a particular few hugely winning books in a brand new, reasonably cheap softcover variation to lead them to simply obtainable to more youthful generations of scholars and researchers. Springer-Verlag all started publishing books in greater arithmetic in 1920. it is a reprint of the second one Edition.

This is a ebook in most cases approximately singular (co)homology. in order to do calculations on extra advanced gadgets, CW complexes are brought. The e-book concentrates on items and manifolds. it's aimed toward a graduate point viewers and in that context it's self contained. Homological algebra is built as much as the extent wanted within the textual content. there's a reasonable volume of examples and routines.

Download PDF by Robert A. McCoy: Topological Properties of Spaces of Continuous Functions

This booklet brings jointly right into a common surroundings a number of options within the research of the topological houses of areas of constant capabilities. the 2 significant periods of functionality house topologies studied are the set-open topologies and the uniform topologies. the place acceptable, the analogous theorems for the 2 significant periods of topologies are studied jointly, in order that a comparability might be made.

Extra info for Advances in the Homotopy Analysis Method

Sample text

71: 1661–1664 (1993 ). A. Constantin, Existence of permanent and breaking waves for a shallow water equation: a geometric approach, Ann. Inst. Fourier, Grenoble. 50: 321–362 (2000). B. Fuchssteiner, Some tricks from the symmetry-toolbox for nonlinear equations: generalizations of the Camassa-Holm equation, Physica D. 95: 296– 343 (1996). J. Liao, Do peaked solitary water waves indeed exist? 3354, 2012. I. Didenkulova and E. Pelinovsky, Rogue waves in nonlinear hyperbolic systems (shallow-water framework), Nonlinearity.

4. 5. Concluding remarks . . . . . . . . . References . . . . . . . . . . . . . 35 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 37 38 39 40 48 54 55 60 66 71 79 81 October 24, 2013 10:44 36 World Scientific Review Volume - 9in x 6in Advances/Chap.

4. Some illustrative models . . . . . . . . 1. Nonlinear problem arising in heat transfer . 2. Strongly nonlinear Bratu’s equation . . . 3. Nonlinear reaction-diffusion model . . . 4. 5. Concluding remarks . . . . . . . . . References . . . . . . . . . . . . . 35 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Download PDF sample

Advances in the Homotopy Analysis Method by Shijun Liao


by Kenneth
4.2

Rated 4.10 of 5 – based on 50 votes