Solving nonlinear boundary value problems using the homotopy analysis method

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Homotopy analysis method (HAM) has been employed recently by many authors to solve nonlinear problems, in particular nonlinear initial and boundary values problems. Such nonlinear problems are usually derived from physical problems such as fluid mechanics; heat transfer, boundary layer equations and many others. In the suggested work we will extend the use of the HAM to solve a certain class of boundary value problems. Focus will be on multi-layer boundary problems. Examples of these kind of problems include fluid flow through multi-layer porous media.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics
Pages1829-1832
Number of pages4
Edition1
DOIs
Publication statusPublished - Dec 1 2012
EventInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 - Kos, Greece
Duration: Sep 19 2012Sep 25 2012

Publication series

NameAIP Conference Proceedings
Number1
Volume1479
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Country/TerritoryGreece
CityKos
Period9/19/129/25/12

Keywords

  • Homotopy Analysis Method
  • Multi-Layer Flow
  • Nonlinear Boundary Value Problems
  • Porous Media

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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