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Solving partial differential equation applications with PDE2D

Author: Granville Sewell
Publisher: Hoboken, NJ : John Wiley & Sons, Inc., 2018. ©2018
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Sewell, Granville.
Solving partial differential equation applications with PDE2D.
Hoboken, NJ : John Wiley & Sons, 2018
(DLC) 2018018589
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Granville Sewell
ISBN: 9781119507956 1119507952 9781119507918 111950791X
OCLC Number: 1043212538
Description: 1 online resource (viii, 209 pages)
Contents: The damped spring and pendulum problems --
Beam and plate bending --
Diffusion and heat conduction --
Pricing options --
Elasticity --
Incompressible fluid flow --
The Schrödinger and other eigenvalue equations --
Minimal surface and membrane wave equations --
The KPI wave equation.
Responsibility: Granville Sewell.

Abstract:

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.

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