An approximate solution of the MHD flow over a non-linear stretching sheet by rational Chebyshev collocation method

被引：0

作者：

Abbasbandy, Saeid ^{[1
]}

Ghehsareh, H. Roohani ^{[1
]}

Hashim, I. ^{[2
]}

机构：

[1] Department of Mathematics, Imam Khomeini International University, Ghazvin 34149, Iran

[2] Modelling and Data Analysis Research Centre, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia

来源：

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2012年 / 74卷 / 04期

关键词：

Magnetohydrodynamics - Boundary layers - Nonlinear equations - Polynomials - Differential equations - Boundary layer flow;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. A spectral collocation method is performed in order to find an analytical solution of the governing nonlinear differential equations. The obtained results are finally compared through the illustrative graphs and tables with the exact solution and some well-known results obtained by other researchers. The comparison shows that the obtained results with the rational Chebyshev collocation method are more accurate.

引用

页码：47 / 58

共 50 条

[1] AN APPROXIMATE SOLUTION OF THE MHD FLOW OVER A NON-LINEAR STRETCHING SHEET BY RATIONAL CHEBYSHEV COLLOCATION METHOD
Abbasbandy, Saeid
Ghehsareh, H. Roohani
Hashim, I.
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2012, 74 (04): : 47 - 58
[2] Solution to the MHD flow over a non-linear stretching sheet by homotopy perturbation method
RAFTARI Behrouz
MOHYUD-DIN Syed Tauseef
YILDIRIM Ahmet
Science China(Physics,Mechanics & Astronomy), 2011, (02) : 342 - 345
[3] Solution to the MHD flow over a non-linear stretching sheet by homotopy perturbation method
Raftari, Behrouz
Mohyud-Din, Syed Tauseef
Yildirim, Ahmet
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2011, 54 (02): : 342 - 345
[4] Solution to the MHD flow over a non-linear stretching sheet by homotopy perturbation method
Behrouz Raftari
Syed Tauseef Mohyud-Din
Ahmet Yildirim
Science China Physics, Mechanics and Astronomy, 2011, 54 : 342 - 345
[5] Homotopy analysis method for solving the MHD flow over a non-linear stretching sheet
Ghotbi, Abdoul R.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (06) : 2653 - 2663
[6] CHEMICALLY REACTIVE MHD FLOW THROUGH A SLENDERING STRETCHING SHEET SUBJECTED TO NON-LINEAR RADIATION FLOW OVER A LINEAR AND NON-LINEAR STRETCHING SHEET
Sheikh, Mariam
Hasnain, Jafar
Abid, Nomana
Abbas, Zaheer
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2024, 39 (02): : 265 - 278
[7] The modified decomposition method and Pade approximants for the MHD flow over a non-linear stretching sheet
Hayat, T.
Hussain, Q.
Javed, T.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 966 - 973
[8] MHD FLOW OF A NEWTONIAN FLUID OVER A STRETCHING SHEET: AN APPROXIMATE SOLUTION
Chakraborty
ApproximationTheoryandItsApplications, 2000, (03) : 32 - 41
[9] An approximate solution of the MHD flows of UCM fluids over porous stretching sheets by rational Legendre collocation method
Saadatmandi, Abbas
Sanatkar, Zeinab
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2016, 26 (07) : 2218 - 2234
[10] Entropy Analysis in Mixed Convection MHD flow of Nanofluid over a Non-linear Stretching Sheet
Matin, Meisam Habibi
Nobari, Mohammad Reza Heirani
Jahangiri, Pouyan
JOURNAL OF THERMAL SCIENCE AND TECHNOLOGY, 2012, 7 (01): : 104 - 119

← 1 2 3 4 5 →