A Compendium of Partial Differential Equation Models: Method of Lines Analysis with MATLAB
William E. Schiesser, Lehigh University;
Graham W. Griffiths, City University, London
Cambridge University Press, 2009
ISBN: 978-0-521-51986-1;
Language: English
Written for students in the fields of science, engineering, and applied mathematics, this book presents numerical methods and associated MATLAB code for the solution of a spectrum of models expressed as partial differential equations (PDEs). The text presents a detailed presentation of ODE/PDE mathematical models, and includes a line-by-line analysis and solution for computer code associated with model equations. Topics covered include an introduction to the method of lines, Green's function analysis, linear wave equations, and implementation of time-varying boundary conditions.
MATLAB is used to solve numerous application examples. In addition, a supplemental set of MATLAB code files is available for download.
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