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Sewell, Granville

Solving Partial Differential Equation Applications with PDE2D

Sewell, Granville - Solving Partial Differential Equation Applications with PDE2D, ebook

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ISBN: 9781119507956
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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 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 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.

Keywords:

Guide to Solving Partial Differential Equation Applications with PDE2D; Text on Solving Partial Differential Equation Applications with PDE2D; Resource to Solving Partial Differential Equation Applications with PDE2D; Understanding Solving Partial Differential Equation Applications with PDE2D; Introduction to PDE2D1; The Collocation and Galerkin Finite Element Methods; 
ThePDE2D User Interfaces
; Computer Time and Memory; Programming Hints; The Damped Spring and Pendulum Problems; Derivation of the Damped Spring and Pendulum Equations; Damped Spring and Pendulum Examples; 
Beam and Plate Bending; Derivation of Beam Bending Equation; Derivation of Plate Bending Equation; Beam and Plate Examples; Diffusion and Heat Conduction Derivation of Diffusion Equation; Diffusion and Heat Conduction Examples

, Applied Mathematics, Networking / LINUX, Applied Mathematics, Networking / LINUX
Author(s)
Publisher
John Wiley and Sons, Inc.
Publication year
2019
Language
en
Edition
1
Page amount
224 pages
Format
Ebook
eISBN (PDF)
9781119507956
Printed ISBN
9781119507932

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