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Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations

✍ Scribed by Athena Makroglou

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
401 KB
Volume
30
Category
Article
ISSN
0362-546X

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✦ Synopsis

The numerical solution of first order Voiterra integro-differential equations of neutral type with continuous kernel is considered. Preliminary results from the application of extended backward differentiation methods are given and comparisons are made with Adams-Bashforth / Adams-Moulton predictor-corrector methods and collocation methods.

  1. Introduction. We consider first order neutral Volterra integro-differential (NVIDE) of the form

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