Fitted numerical scheme for singularly perturbed convection-diffusion reaction problems involving delays

IF 0.7 Q4 MECHANICS Theoretical and Applied Mechanics Pub Date : 2021-01-01 DOI:10.2298/tam201208006w
M. Woldaregay, W. Aniley, G. Duressa
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引用次数: 1

Abstract

This paper deals with solution methods for singularly perturbed delay differential equations having delay on the convection and reaction terms. The considered problem exhibits an exponential boundary layer on the left or right side of the domain. The terms with the delay are treated using Taylor?s series approximation and the resulting singularly perturbed boundary value problem is solved using a specially designed exponentially finite difference method. The stability of the scheme is analysed and investigated using a comparison principle and solution bound. The formulated scheme converges uniformly with linear order of convergence. The theoretical findings are validated using three numerical test examples.
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含时滞的奇摄动对流扩散反应问题的拟合数值格式
本文讨论了对流项和反应项均有时滞的奇摄动时滞微分方程的解法。所考虑的问题在区域的左侧或右侧显示一个指数边界层。延期的条款是用泰勒处理的?用特别设计的指数有限差分法求解S级数近似和由此产生的奇摄动边值问题。利用比较原理和解界分析和研究了该方案的稳定性。该格式具有线性收敛阶,一致收敛。通过三个数值算例对理论结果进行了验证。
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
4
审稿时长
32 weeks
期刊介绍: Theoretical and Applied Mechanics (TAM) invites submission of original scholarly work in all fields of theoretical and applied mechanics. TAM features selected high quality research articles that represent the broad spectrum of interest in mechanics.
期刊最新文献
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