Table of contents for A compendium of partial differential equation models : method of lines analysis with Matlab / William E. Schiesser, Graham W. Griffiths.


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1   An Introduction to the Method of Lines . . . . . . . . . . . . . .... 1
2   A One-Dimensional, Linear Partial Differential Equation ........ . 18
3   Green's Function Analysis  . . . . . . . . . . . . . . . .  . . . . .  . 36
4   Two Nonlinear, Variable-Coeffcient, Inhomogeneous Partial
Differential Equations ......................... 70
5   Euler, Navier Stokes, and Burgers Equations . . . . . . . . . . .... 90
6   The Cubic Schrddinger Equation . . . . . . . . . . . . . . . ... 114
7   The Korteweg-deVries Equation . . . . . . . . . . . . . . . .. . 141
8   The Linear Wave Equation  ......  ...............         171
9   Maxwell's Equations  ......................... 203
10   Elliptic Partial Differential Equations: Laplace's Equation ....... .229
11   Three-Dimensional Partial Differential Equation. . . . . . . . . . . 261
12   Partial Differential Equation with a Mixed Partial Derivative ..... .291
13   Simultaneous, Nonlinear, Two-Dimensional Partial Differential
Equations in Cylindrical Coordinates . . . . . . . . . . . . . .... 306
14   Diffusion Equation in Spherical Coordinates. . . . . . . . . . . .  342
Appendix 1 Partial Differential Equations from Conservation Principles:
The Anisotropic Diffusion Equation . . . . . . . . . . . . . . .... 381



Library of Congress subject headings for this publication: Differential equations, Partial Mathematical models, MATLAB