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The nonexistence of spurious solutions to discrete, two-point boundary value problems

Authors :
Thompson, H.B.
Tisdell, C.C.
Source :
Applied Mathematics Letters. Jan2003, Vol. 16 Issue 1, p79. 6p.
Publication Year :
2003

Abstract

We investigate difference equations which arise as discrete approximations to two-point boundary value problems for systems of second-order, ordinary differential equations. We formulate conditions under which all solutions to the discrete problem satisfy certain a priori bounds which are independent of the step-size. As a result, the nonexistence of spurious solutions are guaranteed. Some existence and convergence theorems for solutions to the discrete problem are also presented. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08939659
Volume :
16
Issue :
1
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
8762127
Full Text :
https://doi.org/10.1016/S0893-9659(02)00147-7