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] Imam Khomeini Int Univ, Dept Math, Ghazvin 34149, Iran

[2] Univ Kebangsaan Malaysia, Sch Math Sci, Modelling & Data Anal Res Ctr, Bangi Selangor 43600, Malaysia

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2012年 / 74卷 / 04期

关键词：

Boundary-layer; Non-linear stretching; Rational Chebyshev polynomials; Collocation method; ORDINARY DIFFERENTIAL-EQUATIONS; PSEUDOSPECTRAL METHODS; SEMIINFINITE INTERVAL; TAU METHOD;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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

页数：12

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.
[J]. UPB 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
[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2011, 54 (02): : 342 - 345
[3] Solution to the MHD flow over a non-linear stretching sheet by homotopy perturbation method
Behrouz Raftari
Syed Tauseef Mohyud-Din
Ahmet Yildirim
[J]. Science China Physics, Mechanics and Astronomy, 2011, 54 : 342 - 345
[4] Homotopy analysis method for solving the MHD flow over a non-linear stretching sheet
Ghotbi, Abdoul R.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (06) : 2653 - 2663
[5] 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
[J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2024, 39 (02): : 265 - 278
[6] The modified decomposition method and Pade approximants for the MHD flow over a non-linear stretching sheet
Hayat, T.
Hussain, Q.
Javed, T.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 966 - 973
[7] MHD FLOW OF A NEWTONIAN FLUID OVER A STRETCHING SHEET: AN APPROXIMATE SOLUTION
Chakraborty
[J]. Analysis in Theory and Applications, 2000, (03) : 32 - 41
[8] An approximate solution of the MHD flows of UCM fluids over porous stretching sheets by rational Legendre collocation method
Saadatmandi, Abbas
Sanatkar, Zeinab
[J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2016, 26 (07) : 2218 - 2234
[9] Numerical investigation of MHD flow of hyperbolic tangent nanofluid over a non-linear stretching sheet
Ahmed, Iftikhar
Alghamdi, Metib
Amjad, Muhammad
Aziz, Faisal
Akbar, Tanvir
Muhammad, Taseer
[J]. HELIYON, 2023, 9 (07)
[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
[J]. JOURNAL OF THERMAL SCIENCE AND TECHNOLOGY, 2012, 7 (01): : 104 - 119

← 1 2 3 4 5 →