Solving the Two–Dimensional Lane–Emden Type Equations by the Adomian Decomposition Method

2016 ◽  
Author(s):  
Randolph Rach ◽  
Jun-Sheng Duan ◽  
Abdul-Majid Wazwaz
Keyword(s):  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Two Dimensional ◽  
Adomian Decomposition

scholarly journals A note on time-fractional Navier–Stokes equation and multi-Laplace transform decomposition method

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Hassan Eltayeb ◽  
Imed Bachar ◽  
Yahya T. Abdalla
Keyword(s):  
Numerical Simulation ◽  
Approximate Solution ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Approximate Solutions ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equation ◽  
Adomian Decomposition ◽  
Stokes Problems

Abstract In this study, the double Laplace Adomian decomposition method and the triple Laplace Adomian decomposition method are employed to solve one- and two-dimensional time-fractional Navier–Stokes problems, respectively. In order to examine the applicability of these methods some examples are provided. The presented results confirm that the proposed methods are very effective in the search of exact and approximate solutions for the problems. Numerical simulation is used to sketch the exact and approximate solution.

Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method

2015 ◽  
Vol 7 (5) ◽  
pp. 675-686 ◽  
Author(s):  
Lei Lu ◽  
Junsheng Duan ◽  
Longzhen Fan
Keyword(s):  
Decomposition Method ◽  
Nonlinear Boundary ◽  
Hartmann Number ◽  
Adomian Decomposition Method ◽  
Two Dimensional ◽  
Third Order ◽  
Flow Equations ◽  
Analytical Approximations ◽  
Modified Adomian Decomposition Method ◽  
Adomian Decomposition

AbstractIn this paper, the nonlinear boundary value problem (BVP) for the Jeffery-Hamel flow equations taking into consideration the magnetohydrodynamics (MHD) effects is solved by using the modified Adomian decomposition method. We first transform the original two-dimensional MHD Jeffery-Hamel problem into an equivalent third-order BVP, then solve by the modified Adomian decomposition method for analytical approximations. Ultimately, the effects of Reynolds number and Hartmann number are discussed.

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