A new shooting method for multi-point discrete boundary value problems
type: Item
instance of: scholarly article
title: A new shooting method for multi-point discrete boundary value problems
zbMATH Open document ID: 0588.65089
DOI: 10.1016/0022-247X(85)90286-0
author: Ramesh C. Gupta
author: Ravi P. Agarwal
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The paper presents a constructive method for solving multipoint discrete boundary value problems. The main idea of this method consists in using a shooting type technique to transform the boundary value problem into an equivalent initial value problem, and is closely related with the method of chasing developed by Gel'fand and Lokutsiyevskii for second order linear differential equations [cf. \textit{I. S. Berezin} and \textit{N. P. Zhidkov}, Computing methods. II. (1965); see the review of the Russian original (1959; Zbl 0096.094)]. Finally some examples which are known to be numerically unstable are considered to show the applicability of the proposed method.
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 3945315
zbMATH Keywords: numerical instability
zbMATH Keywords: multipoint discrete boundary value problems
zbMATH Keywords: shooting
zbMATH Keywords: method of chasing
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3945315