Skip to main content

Numerical Method for Solving Differential Algebraic Equations by Power Series

  • Chapter
Integral Methods in Science and Engineering
  • 580 Accesses

Abstract

The arithmetic operations and functions of a power series can be easily defined by the Fortran 90, C++ [1], and C# languages. The functions represented by these languages, which consisr of arithmetic operations, predefined function and conditional statements, can be expanded in power series.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M.A. Ellis and B. Stroustrup, The Annotated C++ Reference Manual, Addison-Wesley, New York, 1990.

    Google Scholar 

  2. P. Henrici, Applied Computational Complex Analysis, Vol. 1, John Wiley & Sons, New York, 1974.

    MATH  Google Scholar 

  3. H. Hirayama, Numerical method for solving ordinary differential equation by Picard’s method, in Integral Methods in Science and Engineering, Birkhäuser, Boston-Basel, 2002, 111–116.

    Chapter  Google Scholar 

  4. L.B. Rall, Automatic Differentiation-Technique and Applications, Lect. Notes Comp. Sci. 120, Springer-Verlag, Berlin-Heidelberg-New York, 1981.

    Google Scholar 

  5. W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, Numerical Recipes, Cambridge University Press, Cambridge, 1988.

    MATH  Google Scholar 

  6. E. Hairer and G. Wanner, Solving Ordinary Differential Equations. II, Springer-Verlag, Berlin, 1991.

    Book  MATH  Google Scholar 

  7. Y.F. Chang and G. Corliss, ATOMFT: solving ODEs and DAEs by Taylor series, Computer Math. Appl. 28 (1994), 209–233.

    Article  MathSciNet  MATH  Google Scholar 

  8. T. Watanabe, HIDMAS — a computer program for initial value problems for ordinary differential equations, JSIAM 1 (1991), 135–163 (Japanese).

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer Science+Business Media New York

About this chapter

Cite this chapter

Hirayama, H. (2004). Numerical Method for Solving Differential Algebraic Equations by Power Series. In: Constanda, C., Largillier, A., Ahues, M. (eds) Integral Methods in Science and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8184-5_15

Download citation

  • DOI: https://doi.org/10.1007/978-0-8176-8184-5_15

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6479-8

  • Online ISBN: 978-0-8176-8184-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics