Title

Discretization Principles For Linear Two-Point Boundary Value Problems, Iii

Keywords

Discretization principles; Finite difference methods; Two-point boundary value problems

Abstract

This paper extends results of Yamamoto et al. (Numer. Funct. Anal. Optimiz. 2008; 29:213-224) to the boundary value problem [image omitted] where the sign of r(x) is indefinite. Let HνAνUν= fν be the finite difference equations on partitions [image omitted], =1,2, with [image omitted] as , where Hν and A ν are diagonal and tridiagonal matrices, respectively, and f ν are vectors generated by discretization of f(x). Then equivalent conditions for the boundary value problem to have a unique solution u ∈ C2[a, b] are given in terms of [image omitted] and [image omitted].

Publication Date

9-1-2008

Publication Title

Numerical Functional Analysis and Optimization

Volume

29

Issue

9-10

Number of Pages

1180-1200

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/01630560802418367

Socpus ID

56349102291 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/56349102291

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