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  • 标题:Solution of Singularly Perturbed Differential Difference Equations Using Higher Order Finite Differences
  • 本地全文:下载
  • 作者:Lakshmi Sirisha ; Y. N. Reddy
  • 期刊名称:American Journal of Numerical Analysis
  • 印刷版ISSN:2372-2118
  • 电子版ISSN:2372-2126
  • 出版年度:2015
  • 卷号:3
  • 期号:1
  • 页码:8-17
  • DOI:10.12691/ajna-3-1-2
  • 语种:English
  • 出版社:Science and Education Publishing
  • 摘要:In this paper, we discuss the solution of singularly perturbed differential-difference equations exhibiting dual layer using the higher order finite differences. First, the second order singularly perturbed differential-difference equations is replaced by an asymptotically equivalent second order singular perturbed ordinary differential equation. Then, fourth order stable finite difference scheme is applied to get a three term recurrence relation which is easily solved by Thomas algorithm. Some numerical examples have been solved to validate the computational efficiency of the proposed numerical scheme. To analyze the effect of the parameters on the solution, the numerical solution has also been plotted using graphs. The error bound and convergence of the method have also been established.
  • 关键词:differential-difference equations; delay parameter; advance parameter; dual layer
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