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.
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- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 551-561
- MSC: Primary 65N15
- DOI: https://doi.org/10.1090/S0025-5718-1973-0371100-1
- MathSciNet review: 0371100