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Approximate Analytical Methods for Solving Ordinary Differential Equations, 2015, p.140-167
Ort / Verlag
United Kingdom: Chapman and Hall/CRC
Erscheinungsjahr
2015
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
Both of these methods are based on an artificial small parameter
that will be introduced into the given problem, and the solution to the
problem is taken in the form of a power series in terms of this artificial parameter. The advantage in these methods is that the artificial
parameter can be chosen so that it is almost possible to find solutions
to any given nonlinear problem. Thus, these methods in a way satisfyprinciple (i), but principle (ii) continues to fail, as illustrated in some
of the examples shown in the subsequent sections.