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

Includes bibliographical references and index

An introduction to the method of lines -- A one-dimensional, linear partial differential equation -- Green's function analysis -- Two non-linear, variable-coeffcient inhomogenous partial differential equations -- Euler, navier stokes, and burgers equations -- The cubic Schrodinger equation -- The Korteweg-deVries equation -- The linear wave equation -- Maxwell's equations -- Elliptic partial differential equations: Laplace's equation -- Three-dimensional partial differential equation -- Partial differential equation with a mixed partial derivative -- Simultaneous, nonlinear, two-dimensional partial differential equations in cylindirical coordinates -- Diffusion equation in spherical coordinates

This text presents numerical methods & associated computer code in MATLAB for the solution of a spectrum of models expressed as partial differential equations. The authors focus on the method of lines, where the boundary value partial derivatives are approximated algebraically by finite differences.