TY - GEN
T1 - Solving nonlinear boundary value problems using the homotopy analysis method
AU - Hajji, Mohamed A.
AU - Allan, Fathi Mahmoud
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - Homotopy Analysis Method
KW - Multi-Layer Flow
KW - Nonlinear Boundary Value Problems
KW - Porous Media
UR - http://www.scopus.com/inward/record.url?scp=84883071718&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84883071718&partnerID=8YFLogxK
U2 - 10.1063/1.4756537
DO - 10.1063/1.4756537
M3 - Conference contribution
AN - SCOPUS:84883071718
SN - 9780735410916
T3 - AIP Conference Proceedings
SP - 1829
EP - 1832
BT - Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics
T2 - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Y2 - 19 September 2012 through 25 September 2012
ER -