A Picard-Maclaurin theorem for initial value PDEs
نویسندگان
چکیده
منابع مشابه
A Picard-maclaurin Theorem for Initial Value Pdes
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 n with a polynomial generator. In this paper, we present an analogous theorem for partial differential equations (PDEs) with polynomial generators and analytic initial conditions. Since the domain of a sol...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2000
ISSN: 1085-3375,1687-0409
DOI: 10.1155/s1085337500000063