The Application of the Adomian Decomposition Method to Nonlinear Equations Arising in Heat Transfer and Boundary Layer

2009 ◽  
Vol 40 (8) ◽  
pp. 821-834
Author(s):  
Davood D. Ganji ◽  
H. Nateghi ◽  
M. Abaspour ◽  
O. Rasouli
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Nonlinear Equations ◽  
Decomposition Method ◽  
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.

scholarly journals Comparison of the Adomian Decomposition Method and Regular Perturbation Method on Nonlinear Equations Second Kind of Volterra

2021 ◽  
Vol 14 (3) ◽  
pp. 1044-1056
Author(s):  
Rasmane Yaro ◽  
Bakari Abbo ◽  
Bassono Francis ◽  
Youssouf Pare
Keyword(s):  
Perturbation Method ◽  
Nonlinear Equations ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Regular Perturbation ◽  
General Integral ◽  
Adomian Decomposition

In this paper, we study convergence of Adomian decomposition method applied tosecond kind Volterra general integral and show that this method and regular perturbation method converges to the same solution.

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