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Lindstedt’s Method

  • Richard H. Rand
  • Dieter Armbruster
Part of the Applied Mathematical Sciences book series (AMS, volume 65)

Abstract

Lindstedt’s perturbation method is a classical scheme for obtaining approximate solutions to differential equations which contain a small parameter e. The idea is to expand the solution in a power series in ∈,
$$ x\left( t \right) = {x_0}\left( t \right) + {x_1}\left( t \right) \in + {x_2}\left( t \right){ \in ^2} + \cdot\cdot\cdot $$
(1)
and to solve for the unknown functions xi(t) recursively, i.e., in the order x0(t), xl(t), x2(t), . . ..

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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Richard H. Rand
    • 1
  • Dieter Armbruster
    • 2
  1. 1.Department of Theoretical & Applied MechanicsCornell UniversityIthacaUSA
  2. 2.Institut für Informations-verarbeitungUniversität Tübingen74 Tübingen 1Germany

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