Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations

Tingting Qin and Chengjian Zhang

Applied Mathematics and Computation, 2015, vol. 250, issue C, 47-57

Abstract: This paper deals with stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations (FIDEs). A type of extended one-leg methods are suggested for the FIDEs. The (weak) global stability results of the methods are presented. In particular, it is shown under suitable condition that a G-stable extended BDF method is globally and asymptotically stable for the problems of class FID(α,β,γ,η,+∞). Numerical experiments further illustrate the theoretical results and the methodical effectiveness. In the end, a connection and comparison between the obtained results and the existed ones is given.

Keywords: Functional-integro-differential equations; One-leg methods; Compound quadrature rules; (Weak) global stability; Asymptotical stability (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:47-57

DOI: 10.1016/j.amc.2014.11.003

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