matlab解微分方程.pdf

Mathematical Methods for Differential Equations Numerical Methods and Techniques using MATLAB cDr. G.N. MercerPreface These notes comprise the ?rst half of the numerical part of the course AMAT3122 Mathematical Methods for Differential Equations. They are not a complete set of notes. Extra material and examples may also be presented in the lectures and tutorials. Using the electronic version of these notes These notes are hyperlinked. All green text is a link to somewhere else within this document. For example the contents page links to the appropriate page in the text, the numbers in the index link to the page reference, the word Index in the header of most pages links to the index and the page numbers in the header on each page link back to the contents page. There are also some internal linked words that take you to the relevant text. Links to external web pages are red in colour. Provided your PDF reader (eg Adobe Acrobat Reader) is set up correctly these links should open the appropriate page in your web browser (eg Microsoft Internet Explorer, Netscape, Mozilla). MATLAB code The MATLAB codes used in these notes are available at the course web site . Many of the codes are also linked directly from within the text to the appropriate web page. MATLAB code in the text is usually shown in purple and the resulting output in blue. If you have any dif?culties with any part of the course do not hesitate in contacting me to sort them out. Geoff Mercer Room G12 Science South School of Physical, Environmental and Mathematical Sciences Phone: 6268 8734 Email:g.mercer@ IndexContents 1 Introduction to MATLAB 1 1.1 Access to MATLAB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Using MATLAB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.3 A few simple examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.4 Running MATLAB scripts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.5 Sending output