Chapter 10. Numerical Integration of Ordinary Differential Equations Part I: Initial Conditions

  1. E. Joseph Billo

Published Online: 2 NOV 2006

DOI: 10.1002/9780470126714.ch10

Book Title

Excel for Scientists and Engineers: Numerical Methods

Excel for Scientists and Engineers: Numerical Methods

Additional Information

How to Cite

Billo, E. J. (2006) Numerical Integration of Ordinary Differential Equations Part I: Initial Conditions, in Excel for Scientists and Engineers: Numerical Methods, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470126714.ch10

Publication History

  1. Published Online: 2 NOV 2006
  2. Published Print: 23 MAR 2007

ISBN Information

Print ISBN: 9780471387343

Online ISBN: 9780470126714

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CHAPTER TOOLS

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Keywords:

  • numerical integration;
  • initial conditions;
  • differential equations;
  • Runge-Kutta custom function;
  • Euler's method

Summary

This chapter contains sections titled:

  • Solving a Single First-Order Differential Equation

  • Systems of First-Order Differential Equations

  • Predictor-Corrector Methods

  • Higher-Order Differential Equations

  • Problems

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