Department of Mathematics, Bishop Heber college, Tiruchirappalli, Tamilnadu, India. Affiliated to Bharathidasan University
Abstract
A boundary value problem for a second-order system of `n' singularly perturbed delay differential equations is regarded in this article. This problem's solutions has boundary layers at x=0 and x=2 and inner layers at x=1. To handle the problems, a computational analysis based on a finite element method generally accessible to a piecewise-uniform Shishkin mesh is provided. It is shown that the procedure is almost second order convergent in the energy norm uniformly in the perturbation parameters. The hypothesis is supported by numerical examples.
Vinoth, M., & Paramasivam, M. J. (2021). Second order parameter uniform convergence of a finite element method for a system of ‘n’ singularly perturbed delay differential equations. Int. J. of Aquatic Science, 12(2), 4549-4567.
MLA
M. Vinoth; M. Joseph Paramasivam. "Second order parameter uniform convergence of a finite element method for a system of ‘n’ singularly perturbed delay differential equations". Int. J. of Aquatic Science, 12, 2, 2021, 4549-4567.
HARVARD
Vinoth, M., Paramasivam, M. J. (2021). 'Second order parameter uniform convergence of a finite element method for a system of ‘n’ singularly perturbed delay differential equations', Int. J. of Aquatic Science, 12(2), pp. 4549-4567.
VANCOUVER
Vinoth, M., Paramasivam, M. J. Second order parameter uniform convergence of a finite element method for a system of ‘n’ singularly perturbed delay differential equations. Int. J. of Aquatic Science, 2021; 12(2): 4549-4567.
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