Simulation of ODE/PDE Models with MATLAB, OCTAVE, and SCILAB: Scientific and Engineering Applications
Alain Vande Wouwer, Université de Mons;
Philippe Saucez, Université de Mons;
Carlos Vilas, Instituto de Investigaciones Marinas
Springer International Publishing, 2014
ISBN: 978-3-319-06790-2;
Language: English
Simulation of ODE/PDE Models with MATLAB, OCTAVE, and SCILAB demonstrates 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 time-dependent PDEs, which proceeds in two basic steps: spatial discretization and time integration.
Besides conventional finite-difference and element techniques, more advanced spatial-approximation methods are examined in some detail, including non-oscillatory schemes and adaptive-grid approaches. A MOL toolbox has been developed within MATLAB. 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.
