Simulation of ODE/PDE Models with MATLAB®, OCTAVE, and SCILAB provides a comprehensive introduction to the numerical simulation of systems with distributed parameters, described by mixed systems of algebraic equations, ordinary differential equations (ODEs), and partial differential equations (PDEs). The book places particular emphasis on the method of lines (MOL), which is a proven technique for solving time-dependent PDEs. This method involves two fundamental steps: spatial discretization and temporal integration. In addition to conventional methods such as finite difference and finite element techniques, advanced spatial approximation methods are also covered, including non-oscillatory methods and adaptive grid approaches. The book includes numerous practical examples and codes available to support the learning and application of the techniques presented.