scholarly journals Modified Adomian decomposition method for solving the problem of boundary layer convective heat transfer

2018 ◽  
Vol 7 (3) ◽  
pp. 231-237 ◽  
Author(s):  
Yassir Daoud ◽  
Ahmed A. Khidir
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Modified Adomian Decomposition Method ◽  
Adomian Decomposition

A New Algorithm on the Solutions of Forced Convective Heat Transfer in a Semi-Infinite Flat Plate

2011 ◽  
Vol 27 (1) ◽  
pp. 63-69 ◽  
Author(s):  
P.-Y. Tsai ◽  
C.-K. Chen
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Flat Plate ◽  
Decomposition Method ◽  
Thermal Boundary Layer ◽  
Adomian Decomposition Method ◽  
Padé Approximant ◽  
Temperature Fields ◽  
Pade Approximant ◽  
Adomian Decomposition

ABSTRACTIn this paper, a new algorithm is proposed to solve the velocity and temperature fields in the thermal boundary layer flow over a semi-infinite flat plate. Both the flow and heat transfer solutions are calculated accurately by the Laplace Adomian decomposition method, Padé approximant and the optimal design concept. The Laplace Adomian decomposition method (LADM) is a combination of the numerical Laplace transform algorithm with the Adomian decomposition method (ADM). A hybrid method of the LADM combined with the Padé approximant, named the LADM-Padé approximant technique, is introduced to solve the thermal boundary layer problems directly without any small parameter assumptions, linearizatons or transformations of the boundary value problems to a pair of initial value problems. The LADM-Padé approximant solutions here in are given to show the accuracy in comparison with different method solutions.

Numerical Comparison of Methods for Solving Boundary Layer Problems in Hydrodynamics

2013 ◽  
Vol 284-287 ◽  
pp. 508-512
Author(s):  
Shih Hsiang Chang
Keyword(s):  
Boundary Layer ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Differential Transform Method ◽  
Numerical Comparison ◽  
Transform Method ◽  
Modified Adomian Decomposition Method ◽  
Adomian Decomposition ◽  
Differential Transform ◽  
Boundary Layer Problems

This paper presents a numerical comparison between the differential transform method and the modified Adomian decomposition method for solving the boundary layer problems arising in hydrodynamics. The results show that the differential transform method and modified Adomian decomposition method are easier and more reliable to use in solving this type of problem and provides accurate data as compared with those obtained by other numerical methods.

Modified Adomian decomposition method for solving fractional optimal control problems

2017 ◽  
Vol 40 (6) ◽  
pp. 2054-2061 ◽  
Author(s):  
Ali Alizadeh ◽  
Sohrab Effati
Keyword(s):  
Optimal Control ◽  
Control Problem ◽  
Decomposition Method ◽  
Optimal Control Problems ◽  
Adomian Decomposition Method ◽  
Control Problems ◽  
Fractional Optimal Control ◽  
Modified Adomian Decomposition Method ◽  
Adomian Decomposition ◽  
Fractional Optimal Control Problems

In this study, we use the modified Adomian decomposition method to solve a class of fractional optimal control problems. The performance index of a fractional optimal control problem is considered as a function of both the state and the control variables, and the dynamical system is expressed in terms of a Caputo type fractional derivative. Some properties of fractional derivatives and integrals are used to obtain Euler–Lagrange equations for a linear tracking fractional control problem and then, the modified Adomian decomposition method is used to solve the resulting fractional differential equations. This technique rapidly provides convergent successive approximations of the exact solution to a linear tracking fractional optimal control problem. We compare the proposed technique with some numerical methods to demonstrate the accuracy and efficiency of the modified Adomian decomposition method by examining several illustrative test problems.

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