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Assignment 5

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Finite Differences in ODEs, Introduction to PDEs

Reading assignment and Matlab exercises - Read the following documents:

On finite differences and ordinary differential equations - [Read these documents and try these exercises on your own]

  1. Numerical solution to ordinary differential equations - Scripts (includes discussion on finite differences, explicit and implicit methods)
  2. Water quality in a lake - ( based on Chapter 3 in Vreugdenhil, C.B., 1989, Computational Hydraulics - An Introduction, Springer-Verlag, Berlin)

On Partial Differential Equations (PDEs) - [Read these documents and try these exercises on your own]

  1. Read Partial Differential Equations, pages 501 through 526, in Hoffman, J.D., 2001, Numerical Methods for Engineers and Scientists
  2. Introduction to Partial Differential Equations -- pdf file with definitions and examples of analytical solutions - Scripts

On Method of Characteristics - [Read these documents and try these exercises on your own]

  1. Read section III.3, pp. 504 - 511, in Hoffman, J.D., 2001, Numerical Methods for Engineers and Scientists
  2. Read pages 17-19, and 26-27 in Vreugdenhil, C.B., 1989, Computational Hydraulics
  3. Hydraulic transients - method of characteristics - pdf file

Additional reading materials - optional reading

  1. Read Moler's book Ch. 11 - Partial Differential Equations (optional reading)

Problems to solve

Click here to download a pdf document with the problems to solve

Copyright 2008, by the Contributing Authors. Cite/attribute Resource . admin. (2006, May 17). Assignment 5. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Civil_and_Environmental_Engineering/Numerical_Methods_in_Civil_Engineering/assign5.htm. This work is licensed under a Creative Commons License Creative Commons License