PROGRAMS FOR THE BOOK

NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS
John Wiley, Publishers, 2009
by
Kendall Atkinson, Weimin Han, David Stewart
University of Iowa, Iowa City, Iowa

• Chapter 2 - For Euler's method: euler_for
• Chapter 3 - Euler's method for systems: eulersys
• Chapter 4 - The backward Euler method: euler_back
  The trapezoidal method: trapezoidal
• Chapter 5 - Using the MATLAB Runge-Kutta code ode45: test_ode45
• Chapter 6 - The 2nd order Adams-Bashforth method: AB2
  Using the MATLAB Runge-Kutta code multistep code ode113: test_ode113
• Chapter 8 - The method of lines for the heat equation:
  The simple explicit method (Euler's method) MOL_Euler and its test program Test_MOL_Euler
  The simple implicit method (Backward Euler's method) MOL_BEuler and its test program Test_MOL_BEuler
• Chapter 11 - Finite difference boundary value code: ODEBVP
• Chapter 12 - Solving a Volterra integral equation:
  The trapezoidal method vie_trap and its test program test_vie_trap

To obtain all of these programs in one file, click here.

In addition to the above programs from the text, we have programs to explore Euler's method (Euler_ODE_GUI) and the backward Euler method (Euler_Back_GUI) using GUIs (Graphical User Interface). These are accessible by clicking here. Store the programs in a directory and access MATLAB from that directory. Then run either of these GUIs.