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Zbl 1239.34014
Bhalekar, Sachin; Daftardar-Gejji, Varsha
Convergence of the new iterative method. (English)
[J] Int. J. Differ. Equ. 2011, Article ID 989065, 10 p. (2011). ISSN 1687-9643; ISSN 1687-9651/e

Summary: A new iterative method introduced by {\it V. Daftardar-Gejji} and {\it H. Jafari} [J. Math. Anal. Appl. 316, No. 2, 753--763 (2006; Zbl 1087.65055)] is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM are presented. Further equivalence of DJM and Adomian decomposition method is established.

MSC 2000:: *34A45 Theoretical approximation of solutions of ODE
35A35 Theoretical approximation to solutions of PDE

Citations: Zbl 1087.65055

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