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Simulation of ODE/PDE Models with MATLAB, OCTAVE and SCILAB: Scientific and Engineering Applications,Used
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Simulation of ODE/PDE Models with MATLAB, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems of algebraic equations, ordinary differential equations (ODEs) and partial differential equations (PDEs). Special attention is paid to the numerical method of lines (MOL), a popular approach to the solution of timedependent PDEs, which proceeds in two basic steps: spatial discretization and time integration.Besides conventional finitedifference and element techniques, more advanced spatialapproximation methods are examined in some detail, including nonoscillatory schemes and adaptivegrid approaches. A MOL toolbox has been developed within MATLAB/OCTAVE/SCILAB. In addition to a set of spatial approximations and time integrators, this toolbox includes a collection of application examples, in specific areas, which can serve as templates for developing new programs.Simulation of ODE/PDE Models with MATLAB, OCTAVE and SCILAB provides a practical introduction to some advanced computational techniques for dynamic system simulation, supported by many worked examples in the text, and a collection of codes available for download from the books page at www.springer.com. This text is suitable for selfstudy by practicing scientists and engineers and as a finalyear undergraduate course or at the graduate level.
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