Fitted Operator Methods for Singularly Perturbed Differential-Difference Equations via Splines

被引：0

作者：

Vivek, K. ^{[1
]}

Rao, R. Nageshwar ^{[1
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2025年 / 65卷 / 02期

关键词：

singular perturbation problems; differential-difference equations; numerical methods; adaptive spline; spline in compression; BOUNDARY-VALUE-PROBLEMS; NUMERICAL-SOLUTION;

D O I：

10.1134/S0965542524702051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Spline in compression and adaptive spline approaches are used to solve a singularly perturbed differential-difference equation with delay and advanced terms. A fitting factor is used for resolving the boundary layer. Theoretical rate of convergence is calculated and supported by the numerical results for test problems. The layer behavior for various values of the perturbation parameter and the shift parameters is depicted in graphs.

引用

页码：252 / 269

页数：18

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