Solving partial differential equation applications with PDE2D. (English) Zbl 1406.35002

Hoboken, NJ: John Wiley & Sons (ISBN 978-1-119-50793-2/hbk; 978-1-119-50791-8/ebook). viii, 209 p. (2018).
Publisher’s description: Solve engineering and scientific partial differential equation applications using the PDE2D software developed by the author
Solving Partial Differential Equation Applications with PDE2D derives and solves a range of ordinary and partial differential equation (PDE) applications. This book describes an easy-to-use, general purpose, and time-tested PDE solver developed by the author that can be applied to a wide variety of science and engineering problems. The equations studied include many time-dependent, steady-state and eigenvalue applications such as diffusion, heat conduction and convection, image processing, math finance, fluid flow, and elasticity and quantum mechanics, in one, two, and three space dimensions.
The author begins with some simple “0D” problems that give the reader an opportunity to become familiar with PDE2D before proceeding to more difficult problems. The book ends with the solution of a very difficult nonlinear problem, which requires a moving adaptive grid because the solution has sharp, moving peaks. This important book:
Describes a finite-element program, PDE2D, developed by the author over the course of 40 years
Derives the ordinary and partial differential equations, with appropriate initial and boundary conditions, for a wide variety of applications
Offers free access to the Windows version of the PDE2D software through the author’s website at https://www.pde2d.com
Offers free access to the Linux and MacOSX versions of the PDE2D software also, for instructors who adopt the book for their course and contact the author at https://www.pde2d.com
Written for graduate applied mathematics or computational science classes, Solving Partial Differential Equation Applications with PDE2D offers students the opportunity to actually solve interesting engineering and scientific applications using the accessible PDE2D.


35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
35-04 Software, source code, etc. for problems pertaining to partial differential equations
35Qxx Partial differential equations of mathematical physics and other areas of application
Full Text: DOI