Solving Partial Differential Equation Applications with PDE2D
eBook - ePub

Solving Partial Differential Equation Applications with PDE2D

Granville Sewell

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Solving Partial Differential Equation Applications with PDE2D

Granville Sewell

Book details
Table of contents
Citations

About This Book

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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Information

Publisher
Wiley
Year
2018
ISBN
9781119507963
Edition
1
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Cover
  2. Table of Contents
  3. Preface
  4. I Introduction to PDE2D
  5. 1 The Damped Spring and Pendulum Problems
  6. 2 Beam and Plate Bending
  7. 3 Diffusion and Heat Conduction
  8. 4 Pricing Options
  9. 5 Elasticity
  10. 6 Incompressible Fluid Flow
  11. 7 The Schrödinger and Other Eigenvalue Equations
  12. 8 Minimal Surface and Membrane Wave Equations
  13. 9 The KPI Wave Equation
  14. Appendix A: Formulas from Multivariate Calculus
  15. Appendix B: Algorithms Used by PDE2D
  16. Appendix C: Equations Solved by PDE2D
  17. Appendix D: Problem 5.7 Local Solvers
  18. References
  19. Index
  20. End User License Agreement
Citation styles for Solving Partial Differential Equation Applications with PDE2D

APA 6 Citation

Sewell, G. (2018). Solving Partial Differential Equation Applications with PDE2D (1st ed.). Wiley. Retrieved from https://www.perlego.com/book/990971/solving-partial-differential-equation-applications-with-pde2d-pdf (Original work published 2018)

Chicago Citation

Sewell, Granville. (2018) 2018. Solving Partial Differential Equation Applications with PDE2D. 1st ed. Wiley. https://www.perlego.com/book/990971/solving-partial-differential-equation-applications-with-pde2d-pdf.

Harvard Citation

Sewell, G. (2018) Solving Partial Differential Equation Applications with PDE2D. 1st edn. Wiley. Available at: https://www.perlego.com/book/990971/solving-partial-differential-equation-applications-with-pde2d-pdf (Accessed: 25 September 2021).

MLA 7 Citation

Sewell, Granville. Solving Partial Differential Equation Applications with PDE2D. 1st ed. Wiley, 2018. Web. 25 Sept. 2021.