International Science Index


11879

Laplace Adomian Decomposition Method Applied to a Two-Dimensional Viscous Flow with Shrinking Sheet

Abstract:Our aim in this piece of work is to demonstrate the power of the Laplace Adomian decomposition method (LADM) in approximating the solutions of nonlinear differential equations governing the two-dimensional viscous flow induced by a shrinking sheet.
References:
[1] Wang CY, "Stagnation flow towards a shrinking sheet," Int J Nonlinear, Mech 2008; 43:377-82.
[2] Miklavcic M, Wang CY. "Viscous flow due to a shrinking Sheet," Quart Appl. Math. 2006, 64:283-90.
[3] Noor Fadiya Moh Noor, and Ishak Hashim," MHD flow and heat tranfer adjacent to a permeable shrinking sheet embedded in a porous medium". Sains Malaysiana, 2009, 38 (4). pp. 559565.ISSN 0126-6039.
[4] Naeem Faraz , Yasir Khan and Ahmet Yildirim."Analytical approach to two-dimensional viscous flow with a shrinking sheet via variational iteration algorithm-II". Journal of King Saud University (Science), 2011, 23, 77-81.
[5] Abdul-Majid Wazwaz, Mona S. Mehanna." The combined Laplace-Adomian method for handling singular integral equation of heat transfer," International Journal of Nonlinear Science. Vol.10, 2010, No.2, pp.248-252.
[6] Assem Alawii. "Application of Laplace-Adomian decomposition method on linear and nonlinear system of PDEs," Applied Mathematical Sciences, Vol. 5, 2011, no. 27, 1307 -1315.
[7] J. H. He, "A new approach to nonlinear partial differential Equations," Commun. Nonlinear Sci. Numer. Simul., 1997, vol.2, 203-205.
[8] Y. Khan and N. Faraz, "Application of modified Laplace decomposition method for solving boundary layer equation," Journal of King Saud UniversityÔÇöScience, 2011, vol. 23, no. 1, pp. 115-119.