Open AccessOn Approximate Euler Differential Equations
Author(s) -
Soon-Mo Jung,
Seungwook Min
Publication year - 2009
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2009/537963
Subject(s) - mathematics , euler's formula , semi implicit euler method , euler method , euler equations , differential equation , backward euler method , mathematical analysis , type (biology) , differential (mechanical device) , physics , ecology , biology , thermodynamics
We solve the inhomogeneous Euler differential equations of the form x2y′′(x)+αxy′(x)+βy(x)=∑m=0∞amxm and apply this result to the approximation of analytic functions of a special type by the solutions of Euler differential equations
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