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Solving Partial Differential Equation Applications with PDE2D

Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
Solving Partial Differential Equation Applications with PDE2D by Granville Sewell offers an insightful exploration of using the PDE2D software for tackling partial differential equations. The book delves into various applications across science and engineering, guiding readers through computational techniques and model simulations. It's aimed at readers looking to enhance their problem-solving skills in numerical computation and mathematical modelling.
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Format: Hardback
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Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

You might enjoy this book if you are looking to delve into the world of computational mathematics, specifically focusing on solving partial differential equations using PDE2D software. It's particularly useful for engineers and scientists seeking practical solutions for complex applications in fields like physics and engineering.

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Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! 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, mathematical finance, fluid flow, 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.

Book Details

INFORMATION

ISBN: 9781119507932

Publisher: John Wiley & Sons Inc

Format: Hardback

Date Published: 07 December 2018

Country: United States

Imprint: John Wiley & Sons Inc

Audience: Professional and scholarly

DIMENSIONS

Spine width: 18.0mm

Width: 152.0mm

Height: 231.0mm

Weight: 499g

Pages: 224

About the Author

Granville Sewell, PhD, is Professor in the Mathematics department at the University of Texas-El Paso, El Paso, TX. Dr. Sewell is the author of The Numerical Solution of Ordinary and Partial Differential Equations, Second Edition, and Computational Methods of Linear Algebra, Second Edition, both published by Wiley.Β Β 

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