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Quadratic approximation of solutions for ordinary differential equations

Published online by Cambridge University Press:  17 April 2009

Juan J. Nieto
Juan J. Nieto
Affiliation:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15706, Spain, email: amnieto@usc.es
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Abstract

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We present a generalisation of the quasilinearisation method to obtain a monotone sequence of approximate solutions that converges quadratically to a solution of a nonlinear ordinary differential equation of order n ≥ 1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 161 - 168
Copyright
Copyright © Australian Mathematical Society 1997

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