Traveling Wave Analysis of Partial Differential Equations: Numerical and Analytical Methods with MATLAB and Maple
Graham W. Griffiths, City University, London;
William E. Schiesser, Lehigh University
Elsevier Science, 2012
ISBN: 978-0-12-384652-5;
Language: English
Written for scientists and engineers, Traveling Wave Analysis of Partial Differential Equations surveys some of the new developments in analytical and numerical methods, and relates the two through a series of PDE examples. The authors provides a set of numerical and analytical methods based on the concept of a traveling wave, with a central feature of conversion of the PDEs to ODEs. Topics include traveling wave, residual function methods for analytical solutions to PDEs, and diffusion equation with nonlinear source terms.
In addition, a supplemental set of MATLAB code files is available for download.
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