Stable second-order finite-difference methods for linear initial-boundary-value problems

Finite-difference methods of second order at the boundary points are presented for problems with one-dimensional second-order hyperbolic and parabolic equations with mixed boundary conditions. These methods do not require information at points outside the region of consideration. The linear stabilit...

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Bibliographic Details
Published in:	Applied mathematics letters Vol. 19; no. 2; pp. 146 - 154
Main Authors:	George, K., Twizell, E.H.
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 01.02.2006 Elsevier
Subjects:	Exact sciences and technology Finite-difference methods Mathematical analysis Mathematics Mixed boundary conditions Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Stability Mixed boundary conditions Stability Finite-difference methods Second order equation Initial value problem Crank Nicolson method Parabolic equation Boundary value problem Numerical computation Applied mathematics Hyperbolic equation Region Potential method Finite difference method
ISSN:	0893-9659, 1873-5452
Online Access:	Get full text
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