Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1001.65112
Ge, Lixin; Zhang, Jun
Symbolic computation of high order compact difference schemes for three dimensional linear elliptic partial differential equations with variable coefficients. (English)
[J] J. Comput. Appl. Math. 143, No.1, 9-27 (2002). ISSN 0377-0427

Summary: We present a symbolic computation procedure for deriving various high order compact difference approximation schemes for certain three dimensional linear elliptic partial differential equations with variable coefficients. Based on the Maple software package, we approximate the leading terms in the truncation error of the Taylor series expansion of the governing equation and obtain a 19 point fourth order compact difference scheme for a general linear elliptic partial differential equation. A test problem is solved numerically to validate the derived fourth order compact difference scheme. This symbolic derivation method is simple and can be easily used to derive high order difference approximation schemes for other similar linear elliptic partial differential equations.

MSC 2000:: *65N06 Finite difference methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems
65Y15 Packaged methods

Keywords: numerical example; elliptic partial differential equations; maple software package; fourth order compact difference scheme; symbolic derivation method; Taylor series expansion

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]