Convergence of one-leg methods for neutral delay integro-differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:317

Article

Wen, Liping¹  Zhou, Yan¹ 

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

关键词: Neutral delay integro-differential equations;    One-leg methods;    G-stability;    A-stability;    Convergence;    Numerical integration;   

DOI  :  10.1016/j.cam.2016.12.011

来源: Elsevier

【 摘 要 】

The error analysis of one-leg methods for a class of nonlinear neutral delay integrodifferential equations (NDIDEs) is given. It is proved that an A-stable one-leg method with an appropriate quadrature rule applied to NDIDEs is convergent of order at least min{p,q + 1/2 } if the one-leg method is consistent of order p <= 2 in the classical sense for ODEs and the error order of the quadrature rule is O(h(q+1)). Numerical examples further confirm the theoretical results. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

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