Finite difference, finite element and finite volume methods applied to two-point boundary value problems

This paper considers the finite difference, finite element and finite volume methods applied to the two-point boundary value problem − d dx p(x) du dx =f(x), a<x<b, u(a)=u(b)=0. By using an inversion formula of a nonsingular tridiagonal matrix, explicit expressions of approximate solutions by...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 139; no. 1; pp. 9 - 19
Main Authors:	Fang, Qing, Tsuchiya, Takuya, Yamamoto, Tetsuro
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.02.2002 Elsevier
Subjects:	Exact sciences and technology Finite difference methods Finite element methods Finite volume methods Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations, boundary value problems Sciences and techniques of general use Finite element methods 65N30 Finite volume methods 65N06 Finite difference methods Finite element method Finite volume method Boundary value problem Error estimation Two point boundary value problem Finite difference method
ISSN:	0377-0427, 1879-1778
Online Access:	Get full text
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