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Hayat, T.; Hussain, Q.; Javed, T.

The modified decomposition method and Padé approximants for the MHD flow over a non-linear stretching sheet. (English) Zbl 1167.76385

Nonlinear Anal., Real World Appl. 10, No. 2, 966-973 (2009).
Summary: The magnetohydrodynamic (MHD) boundary layer flow is investigated by employing the modified Adomian decomposition method and the Padé approximation. The series solution of the governing non-linear problem is developed. Comparison of the present solution is made with the existing solution and excellent agreement is noted.

Cited in 25 Documents

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

Keywords:

non-linear stretching; modified Adomian technique; Padé approximation; comparison
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\textit{T. Hayat} et al., Nonlinear Anal., Real World Appl. 10, No. 2, 966--973 (2009; Zbl 1167.76385)
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References:

[1] Altan, T.; Oh, S.; Gegrl, H., Metal Forming Fundamentals and Applications (1979), American Society of Metals: American Society of Metals Metals Park
[2] Fisher, E. G., Extrusion of Plastics (1976), Wiley: Wiley New York
[3] Tadmor, Z.; Klein, I., Engineering Principles of Plasticating Extrusion, Polymer Science and Engineering Series (1970), Reinhold: Reinhold New York, Van Nostrand
[4] Sakiadis, B. C., Boundary-layer behavior on continuous solid surfaces, AIChE J., 7, 26-28 (1961)
[5] Sakiadis, B. C., Boundary layer behaviour on continuous solid surface II: Boundary layer on a continuous flat surface, AIChE. J., 7, 221-225 (1961)
[6] Chaim, T. C., Hydromagnetic flow over a surface stretching with a power-law velocity, Int. J. Eng. Sci., 33, 429-435 (1995) · Zbl 0899.76375
[7] Adomian, G., Solving Frontier Problems of Physics: The Decomposition Method (1994), Kluwer, Academic publishers: Kluwer, Academic publishers Boston · Zbl 0802.65122
[8] Wazwaz, A. M., A reliable modification of Adomian’s decompostion method, App. Math. Comput., 102, 77-86 (1999)
[9] Wazwaz, A. M., Analytical approximations and Padé approximants for Volterra’s population model, Appl. Math. Comput., 100, 13-25 (1999) · Zbl 0953.92026
[10] Wazwaz, A. M., A study on a boundary-layer equation arising in an incompressible fluid, Appl. Math. Comput., 87, 199-204 (1997) · Zbl 0904.76067
[11] Wazwaz, A. M., The modified decomposition method and the Padé approximants for solving Thomas-Fermi equation, Appl. Math. Comput., 105, 11-19 (1999) · Zbl 0956.65064
[12] Wazwaz, A. M., A new method for solving differential equations of the Lane-Emden type, Appl. Math. Comput., 118, 287-310 (2001) · Zbl 1023.65067
[13] Wazwaz, A. M., A new method for solving singular initial value problems in the second order ordinary differential equations, Appl. Math. Comput., 128, 47-57 (2002) · Zbl 1030.34004
[14] Wazwaz, A. M., Adomian decomposition method for a reliable treatment of the Emden-Fowler equation, Appl. Math. Comput., 161, 543-560 (2005) · Zbl 1061.65064
[15] Wazwaz, A. M., Partial Differential Equations: Methods and Applications (2002), Balkema: Balkema The Netherlands
[16] Wazwaz, A. M., A First Course in Integral Equations (1997), WSPC: WSPC New Jersey
[17] Wazwaz, A. M., A reliable treatment for mixed Volterra-Fredholm integral equations, Appl. Math. Comput., 127, 405-414 (2002) · Zbl 1023.65142
[18] Wazwaz, A. M., The existence of noise terms for systems of inhomogeneous differential and integral equations, Appl. Math. Comput., 146, 81-92 (2003) · Zbl 1032.65114
[19] Wazwaz, A. M., The numerical solution of special fourth-order boundary value problems by the modified decomposition method, Internat. J. Comput. Math., 79, 345-356 (2002) · Zbl 0995.65082
[20] Hashim, Ishak; Wang, L., Comments on “A new algorithm for solving classical Blasius equation”, Appl. Math. Comput., 176, 700-703 (2006) · Zbl 1331.65103
[21] Wang, L., A new algorithm for solving classical Blasius equation, Appl. Math. Comput., 157, 1-9 (2004) · Zbl 1108.65085
[22] Kechil, S. A.; Hashim, I., Non-perturbative solution of free-convective boundary-layer equation by Adomian decomposition method, Phys. Lett A., 363, 110-114 (2007) · Zbl 1197.76097
[23] Kechil, S. A.; Hashim, I., Series solution for unsteady boundary-layer flows due to impulsively stretching plate, Chin. Phys. Lett., 24, 139-142 (2007)
[25] Baker, G. A., Essentials of Padé Approximants (1975), Academic press: Academic press London · Zbl 0315.41014
[26] Boyd, J., Padé approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain, Comput. Phys., 11, 299-303 (1997)
[27] Pavlov, K. B., Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a surface, Magn. Gidrod., 4, 146-147 (1975)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.