Extended Newton’s method for a system of nonlinear equations by modified Adomian decomposition method

2005 ◽  
Vol 170 (1) ◽  
pp. 648-656 ◽  
Author(s):  
S. Abbasbandy
Keyword(s):  
Nonlinear Equations ◽  
Newton’S Method ◽  
Newton's Method ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
System Of Nonlinear Equations ◽  
Modified Adomian Decomposition Method ◽  
Adomian Decomposition

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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