PDE Toolbox Primer for Engineering Applications with MATLAB® Basics

Partial differential equations (PDEs) describe technological phenomena and processes used for the analysis, design, and modeling of technical products. Solutions of spatial and transient PDEs are realized by using the PDE Toolbox included in the MATLAB® software. MATLAB® is introduced here as an essential foundation for PDE, and the Modeler of the PDE Toolbox, with appropriate explanatory solutions, is applied to engineering problems in mechanics, heat/mass transfer, tribology, materials science, physics, and biotechnology. The appendixes contain collections of commands and functions used to solve actual engineering problems.


FEATURES




Includes the PDE Modeler interface with example solutions of two- and three-dimensional PDEs




Presents methodologies for all types of PDEs as representative of any engineering problem




Describes the ordinate differential equation (ODE) solver for initial value and boundary value problems (IVP and BVP) through practical examples from mechanics and the thermodynamic properties of materials




Covers the basics of MATLAB® to solve both ODEs and PDEs