کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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1703896 | 1012394 | 2015 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: An analysis of delay-dependent stability of symmetric boundary value methods for the linear neutral delay integro-differential equations with four parameters An analysis of delay-dependent stability of symmetric boundary value methods for the linear neutral delay integro-differential equations with four parameters](/preview/png/1703896.png)
The paper is concerned with the study of delay-dependent stability of symmetric boundary value methods (BVMs) for the linear neutral delay integro-differential equations (NDIDEs) with four parameters. Four families of symmetric BVMs, namely the Extended Trapezoidal Rules of first (ETRs) and second kind (ETR2s), the Top Order Methods (TOMs) and the B-spline linear multistep methods (BS methods) are considered in this paper. By using the boundary locus technique, the delay-dependent stability region of symmetric BVMs is analyzed and their boundary loci are discussed. In addition, we give a sufficient condition that symmetric BVMs preserve the delay-dependent stability of the analytical solution. Some numerical examples are presented to validate the theoretical results.
Journal: Applied Mathematical Modelling - Volume 39, Issue 9, 1 May 2015, Pages 2453–2469