adomian’s decomposition method
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PHYSICAL INSIGHT OF LOCAL FRACTIONAL CALCULUS AND ITS APPLICATION TO FRACTIONAL KDV–BURGERS–KURAMOTO EQUATION

Fractals ◽  
2019 ◽  
Vol 27 (07) ◽  
pp. 1950122 ◽  
Author(s):  
KANG-LE WANG ◽  
KANG-JIA WANG ◽  
CHUN-HUI HE
Keyword(s):  
Analytical Solution ◽  
Fractional Calculus ◽  
Decomposition Method ◽  
Approximate Analytical Solution ◽  
Variational Iteration Method ◽  
Solution Properties ◽  
Practical Applications ◽  
Adomian’S Decomposition Method ◽  
Local Fractional Calculus ◽  
Physical Insight

Local fractional calculus is used to derive fractional partner of the KdV–Burgers–Kuramoto equation, its physical understanding is elucidated and its solution properties are revealed. Adomian’s decomposition method (ADM) and the variational iteration method (VIM) are applied to obtain its approximate analytical solution, the results have both theoretical importance and practical applications.

Adomian's Decomposition Method

2017 ◽  
pp. 114-139
Keyword(s):  
Heat Transfer ◽  
Decomposition Method ◽  
Velocity Slip ◽  
Squeezing Flow ◽  
Two Dimensional ◽  
Parallel Plates ◽  
Adomian’S Decomposition Method ◽  
Parallel Disks ◽  
Flow And Heat Transfer ◽  
Engineering Sciences

In this chapter, we apply Adomian's Decomposition Method to find appropriate solutions of heat and mass transfer in the two-dimensional and axisymmetric unsteady flow between parallel plates and squeezing flow and heat transfer between two parallel disks with velocity slip, temperature jump which are of utmost importance in applied and engineering sciences.

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