Difference Approximations for Boundary and Eigenvalue Problems for Ordinary Differential Equations
- 1 July 1972
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 26 (119) , 605-624
- https://doi.org/10.2307/2005090
Abstract
The boundary value problem for ordinary differential equations is considered and a general theory for difference approximation is developed. In particular, the influence of extra boundary conditions is investigated and the eigenvalue problem is considered in detail.Keywords
This publication has 3 references indexed in Scilit:
- Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear ConstraintsSIAM Journal on Numerical Analysis, 1969
- Iterated deferred corrections for nonlinear operator equationsNumerische Mathematik, 1967
- Asymptotic expansions for the error of discretization algorithms for non-linear functional equationsNumerische Mathematik, 1965