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Zbl 1189.65245
Biazar, J.; Porshokuhi, M.Gholami; Ghanbari, B.
Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method. (English)
[J] Comput. Math. Appl. 59, No. 2, 622-628 (2010). ISSN 0898-1221

Summary: A new form of Adomian decomposition method (ADM) is presented; by this form a general iterative method can be achieved in which there is no need of calculating Adomian polynomials. Also, this general iterative method is compared with the Adomian decomposition method and variational iteration method (VIM) and its advantages are expressed.
MSC 2000:
*65M99 Numerical methods for IVP of PDE

Keywords: linear and nonlinear operators; Adomian decomposition method; Adomian polynomials; the variational iteration method

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