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
• Reviews spatially the one-dimensional PDE solver with actual engineering examples

PDE Toolbox Primer for Engineering Applications with MATLAB® Basics is aimed at scientists, students, professionals, practitioners, self-taught readers, and researchers who need concise and clear information to study and apply MATLAB® software and the PDE Toolbox in engineering.

Dr. Leonid Burstein taught as an Associate Staff Member (ret) of the Software Engineering Department at the ORT Braude College of Engineering for 17 years. He also worked for many years as lecturer at large and taught in the Quality Assurance Department of the Kinneret Academic College and at Technion - ITI and was regularly invited as a lecturer at a number of leading universities and high schools of the Western and Lower Galilee.

Following a MA studying in thermo-physics at the Lomonosov Technological Institute at Odessa, Ukraine and a doctorate study in All-Union Scientific Research Institute of Physical-Technical and Radiotechnical Measurements at Mendeleevo, Moscow region, Russia. Burstein received his PhD in thermo-physical properties of materials from the Heat and Mass Transfer Institute of the Belarusian Academy of Sciences, Minsk in 1974.

After a short period of work in Russia and Belarus, Burstein continued his carrier at the Piston Ring Institute in Odessa, Ukraine, where he worked from 1974 to 1990 as Head of Projects and Head of the CAD/CAM group. Since 1991, he has worked at the Technion – IIT, first at the ME Faculty, then at the Quality Assurance and Reliability Program at the Faculty of IEM and later at the Taub Computer Centre as software science consultant. At the time, he also worked at the Technion Research and Development Foundation as the principal researcher in funded projects in various areas including diesel tribology and environment control. During this period, he also taught various courses at Haifa University, the Technion, the Kinneret Academic College and other institutions.

Dr Burstein is also the editor of a handbook published by the IGI Global and author of several patents. He is the author and contributor to published textbooks as well as an Editorial Broad member and reviewer for a number of international scientific journals.