Open Access
G. Edgar Parker, James S. Sochacki, "A Picard-Maclaurin theorem for initial value PDEs", Abstract and Applied Analysis, vol. 5, Article ID 924095, 17 pages, 2000. https://doi.org/10.1155/S1085337500000063
A Picard-Maclaurin theorem for initial value PDEs
Abstract
In 1988, Parker and Sochacki announced a theorem which proved that the Picard iteration, properly modified, generates the Taylor series solution to any ordinary differential equation (ODE) on
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Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.