Numerical solution of some classical differential-difference equations

Authors:
George Marsaglia, Arif Zaman and John C. W. Marsaglia

Journal:
Math. Comp. **53** (1989), 191-201

MSC:
Primary 65L05; Secondary 65Q05

DOI:
https://doi.org/10.1090/S0025-5718-1989-0969490-3

MathSciNet review:
969490

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Abstract | References | Similar Articles | Additional Information

Abstract: For differential-difference equations, we provide a method that gives numerical solutions accurate to hundreds or even thousands of digits. We illustrate with numerical solutions to three classical problems. With a few exceptions, previous claims of extended accuracy for these problems are found to be wrong.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1989-0969490-3

Keywords:
Difference equations,
differential-difference equations,
numerical solutions

Article copyright:
© Copyright 1989
American Mathematical Society