Modified Decomposition Method for Solution Partial Differential Equations with Derivative Boundary Conditions
|International Journal of Engineering Trends and Technology (IJETT)||
|© 2019 by IJETT Journal|
|Year of Publication : 2019|
|Authors : Iman. I. Gorial
|DOI : 10.14445/22315381/IJETT-V67I8P205|
MLA Style: Iman. I. Gorial"Modified Decomposition Method for Solution Partial Differential Equations with Derivative Boundary Conditions" International Journal of Engineering Trends and Technology 67.8 (2019): 27-28.
APA Style:Iman. I. Gorial. Modified Decomposition Method for Solution Partial Differential Equations with Derivative Boundary ConditionsInternational Journal of Engineering Trends and Technology, 67(8), 27-28.
In this paper, modified decomposition method of solution the partial differential equation two-sided has been presented. Simulation results for example illustrate the comparison of the analytical and numerical solution. The results were presented in tables using the MathCAD 12 software package when it is needed.
 G. Adomian, “A review of the decomposition method and some recent results for nonlinear equation”, Math. Comput. Modeling, 13(7) (1990),17-43.
 G. Adomian, “Solving Frontier Problems of Physics: The Decomposition Method”, vol. 60 of Fundamental Theories of Physics, Kluwer Academic, Dordrecht, 1994.
 O. H. Yahaya, M. Liu. “A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations”, Communications in Nonlinear Science and Numerical Simulation, 2009, 14(8), 3261- 3265.
 O.Yahaya, Liu Ming Zhu, “Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decomposition method”, Communications in Nonlinear Science and Numerical Simulation, 2009, 14(6), 2592-2596.
 S. N. Venkatarangan, T. R Sivakumar“A modification of Adomian’s decomposition method for boundary value problems with homogenous boundary conditions”? Jour. Math. Phys. Sci.?1990, 24, 19-25.
 A, M. Wazwaz. “Pade approximants and Adomian decomposition method for solving the Flierl- Petviasihvili equation and its variants”, Appl. Math. Comput. 2006, 182: 1812-1818.
 S. A. Khuri., “A Laplace decomposition algorithm applied to a class of nonlinear differential equations”, J. Appl. Math., 2001, 1(4), 141-155.
 E. Yusufoglu) ., “Numerical Solution of Duffing Equation by the Laplace decomposition algorithm”, Applied Mathematics and Computation, 2006, 177, 572-580.
 K. Yasir, “An effective modification of the Laplace decomposition method for nonlinear equations”, Int. J. Nonlin. Sci. Num. Simul., 2009, 10(11-12), 1373- 1376.
 K. Yasir, F. Naeem “Application of modified Laplace decomposition method for solving boundary layer equation”, Journal of King Saud University (Science), 2011, 23, 115-119.
 M. M. Rashidi, “The modified differential transforms method for solving MHD boundary-Layer equations”, Comput. Phys. Commun., 2009, 180, 2210-2217.
 L. Rosenhead. “Laminar Boundary Layers”, Oxford University Press, 1963, pp 222-236.World Academy of Science, Engineering and Technology ,2013.
 A. M, J. Wazwaz, Necessary conditions for appearance of noise terms in decomposition solution series Math. Anal. Appl., 5 (1997), 265-274.
Modified decomposition method, derivative boundary condition problem, Partial differential equation.