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Functional Continued Fractions

  • Reza N. Jazar
Chapter
  • 26 Downloads

Abstract

Continued fractions, compared to series solutions, converge much faster, have much larger convergence domain, and are much more accurate. These advantages justify to solve equations with series solution and convert them into continued fractions to get the best result. In this chapter, we will show how to derive approximate solution of differential equations in continued fractions and introduce the advantages of continued fractions by reviewing and studying their application in science and engineering.

Keywords

Continued fractions Conversion of series to continued fractions Series solution Continued fraction solution Differential equations Approximate solutions 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2020

Authors and Affiliations

  • Reza N. Jazar
    • 1
  1. 1.School of EngineeringRMIT UniversityMelbourneAustralia

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