scholarly journals Analytic Solutions of a Class of Linear and Nonlinear Functional Equations

2001 ◽  
Vol 261 (1) ◽  
pp. 168-176 ◽  
Author(s):  
Eugenia N. Petropoulou
Keyword(s):  
Functional Equations ◽  
Analytic Solutions ◽  
Nonlinear Functional ◽  
Linear And Nonlinear

scholarly journals Convergence of the New Iterative Method

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Sachin Bhalekar ◽  
Varsha Daftardar-Gejji
Keyword(s):  
Iterative Method ◽  
Functional Equations ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Efficient Technique ◽  
Nonlinear Functional ◽  
Adomian Decomposition ◽  
New Iterative Method ◽  
Sufficiency Conditions

A new iterative method introduced by Daftardar-Gejji and Jafari (2006) (DJ Method) is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM have been presented. Further equivalence of DJM and Adomian decomposition method is established.

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