6. Ordinary Differential Equations

  1. Won Young Yang1,
  2. Wenwu Cao2,
  3. Tae-Sang Chung1 and
  4. John Morris3

Published Online: 27 JAN 2005

DOI: 10.1002/0471705195.ch6

Applied Numerical Methods Using MATLAB®

Applied Numerical Methods Using MATLAB®

How to Cite

Yang, W. Y., Cao, W., Chung, T.-S. and Morris, J. (2005) Ordinary Differential Equations, in Applied Numerical Methods Using MATLAB®, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471705195.ch6

Author Information

  1. 1

    Chung-Ang University, Korea

  2. 2

    Pennsylvania State University, USA

  3. 3

    The University of Auckland, New Zealand

Publication History

  1. Published Online: 27 JAN 2005
  2. Published Print: 14 JAN 2005

ISBN Information

Print ISBN: 9780471698333

Online ISBN: 9780471705192

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Keywords:

  • ordinary differential equation;
  • Euler's method;
  • Heun's method;
  • Runge-Kutta method;
  • predictor-corrector method;
  • Adams-Bashforth-Moulton method;
  • Hamming method;
  • vector differential equation;
  • state equation;
  • stiff equation;
  • boundary value problem (BVP);
  • shooting method;
  • finite difference method

Summary

It introduces several methods to find numerical solutions for ODEs (ordinary differential equations) and applies them to solve an ODE for practice and crosscheck. The IVPs (initial value problems) will be handled with several methods including Runge-Kutta method, predictor-corrector methods and MATLAB built-in routines. It covers the shooting method and the finite difference method to solve two-point BVPs (boundary value problems).