Solving Linear Boundary Value Problems by Approximating the Coefficients
- 1 July 1973
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 27 (123) , 551-561
- https://doi.org/10.2307/2005659
Abstract
A method for solving linear boundary value problems is described which consists of approximating the coefficients of the differential operator. Error estimates for the approximate solutions are established and improved results are given for the case of approximation by piecewise polynomial functions. For the latter approximations, the resulting problem can be solved by Taylor series techniques and several examples of this are given.Keywords
This publication has 1 reference indexed in Scilit:
- Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential EquationSIAM Journal on Numerical Analysis, 1973