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Author Schiesser, W. E

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

Publ Info Cambridge ; New York : Cambridge University Press, 2009
 RWU Main Library  QA377 .S3538 2009    AVAILABLE
Descript xiii, 474 pages, 2 unnumbered pages of plates : illustrations (some color) ; 26 cm
text rdacontent
unmediated rdamedia
volume rdacarrier
Note Includes bibliographical references and index
Contents An introduction to the method of lines -- A one-dimensional, linear partial differential equation -- Green's function analysis -- Two nonlinear, variable-coeffcient, inhomogeneous partial differential equations -- Euler, Navier Stokes, and Burgers equation -- The cubic Schrödinger 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 cylindrical coordinates -- Diffusion equation in spherical coordinates -- Appendixes: 1. Partial differential equations from conservation principles: the Anisotropic diffusion equation -- 2. Order conditions for finite-difference approximations -- 3. Analytical solution of nonlinear, traveling wave partial differential equations -- 4. Implementation of time-varying boundary conditions -- 5. The differentiation in space subroutines library -- 6. Animating simulation results
LC subject Differential equations, Partial -- Mathematical models
Add Author Griffiths, Graham W
ISBN 9780521519861 (hardback)
0521519861 (hardback)