@inproceedings{56b1c4fae1ad4590aa1b091176b3b5ad,
title = "Solving nonlinear boundary value problems using the homotopy analysis method",
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.",
keywords = "Homotopy Analysis Method, Multi-Layer Flow, Nonlinear Boundary Value Problems, Porous Media",
author = "Hajji, {Mohamed A.} and Allan, {Fathi M.}",
year = "2012",
month = dec,
day = "1",
doi = "10.1063/1.4756537",
language = "English",
isbn = "9780735410916",
series = "AIP Conference Proceedings",
number = "1",
pages = "1829--1832",
booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics",
edition = "1",
note = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 ; Conference date: 19-09-2012 Through 25-09-2012",
}