A compendium of partial differential equation models
Subtitle: method of lines analysis with MATLAB
By: William E. Schiesser, Graham W. Griffiths.
Contributors: Griffiths, Graham W.
Publisher: Cambridge University Press
Published: 2009
Place of publication: Cambridge; New York
Language: eng
Format: Hardback
Number of pages: 474
ISBN-13: 9780521519861
Subjects: MATLAB; Differential equations, Partial -- Mathematical models
Notes: Includes index.
Table of contents: title: 1. An introduction to the Method of Lines (MOL);; title: 2. A one-dimensional, linear partial differential equation;; title: 3. Green's function analysis;; title: 4. Two nonlinear, variable coeffcient, inhomogeneous PDEs;; title: 5. Euler, Navier-Stokes and Burgers equations;; title: 6. The Cubic Schrödinger Equation (CSE);; title: 7. The Korteweg-deVries (KdV) equation;; title: 8. The linear wave equation;; title: 9. Maxwell's equations;; title: 10. Elliptic PDEs: Laplace's equation;; title: 11. Three-dimensional PDE;; title: 12. PDE with a mixed partial derivative;; title: 13. Simultaneous, nonlinear, 2D PDEs in cylindrical coordinates;; title: 14. Diffusion equation in spherical coordinates;; title: Appendix 1: partial differential equations from conservation principles: the anisotropic diffusion equation;; title: Appendix 2: order conditions for finite difference approximations;; title: Appendix 3: analytical solution of nonlinear, traveling wave partial differential equations;; title: Appendix 4: implementation of time varying boundary conditions;; title: Appendix 5: the DSS library;; title: Appendix 6: animating simulation results.