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Solving linear boundary value problems by approximating the coefficients

Author: Steven A. Pruess
Journal: Math. Comp. 27 (1973), 551-561
MSC: Primary 65N15
MathSciNet review: 0371100
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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.

References [Enhancements On Off] (What's this?)

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Keywords: Linear boundary value problems, piecewise polynomial approximation, Richardson’s extrapolation, Taylor series methods, shooting methods
Article copyright: © Copyright 1973 American Mathematical Society