Abstract
This paper presents an analysis and a semi-analytical study of the boundary value problem resulting from a self-similar transformation of the partial differential equations governing the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet with suction. Existence of a solution is shown using the fixed point argument and the boundary value problem is solved. Galerkin-Legendre spectral method with domain truncation is used to obtain approximate analytical solutions. The approximate solutions computed confirm the theoretical analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 346-354 |
| Number of pages | 9 |
| Journal | Mathematical and Computer Modelling |
| Volume | 52 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - Jul 1 2010 |
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All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computer Science Applications
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Existence results and numerical simulation of magnetohydrodynamic viscous flow over a shrinking sheet with suction. / Akyildiz, F. Talay; Siginer, Dennis A.
In: Mathematical and Computer Modelling, Vol. 52, No. 1-2, 01.07.2010, p. 346-354.Research output: Contribution to journal › Article
TY - JOUR
T1 - Existence results and numerical simulation of magnetohydrodynamic viscous flow over a shrinking sheet with suction
AU - Akyildiz, F. Talay
AU - Siginer, Dennis A.
PY - 2010/7/1
Y1 - 2010/7/1
N2 - This paper presents an analysis and a semi-analytical study of the boundary value problem resulting from a self-similar transformation of the partial differential equations governing the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet with suction. Existence of a solution is shown using the fixed point argument and the boundary value problem is solved. Galerkin-Legendre spectral method with domain truncation is used to obtain approximate analytical solutions. The approximate solutions computed confirm the theoretical analysis.
AB - This paper presents an analysis and a semi-analytical study of the boundary value problem resulting from a self-similar transformation of the partial differential equations governing the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet with suction. Existence of a solution is shown using the fixed point argument and the boundary value problem is solved. Galerkin-Legendre spectral method with domain truncation is used to obtain approximate analytical solutions. The approximate solutions computed confirm the theoretical analysis.
UR - http://www.scopus.com/inward/record.url?scp=77953131326&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77953131326&partnerID=8YFLogxK
U2 - 10.1016/j.mcm.2010.02.049
DO - 10.1016/j.mcm.2010.02.049
M3 - Article
AN - SCOPUS:77953131326
VL - 52
SP - 346
EP - 354
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
SN - 0895-7177
IS - 1-2
ER -