Computational Approach for a Singularly Perturbed Differential Equations With Mixed Shifts Using a Non-Polynomial Spline
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Published:2023-01-23
Issue:
Volume:21
Page:5
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ISSN:2291-8639
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Container-title:International Journal of Analysis and Applications
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language:
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Short-container-title:Int. J. Anal. Appl.
Author:
Ragula Kumar,Soujanya G. BSL,Swarnakar D.
Abstract
In this paper, a second order singularly perturbed differential difference equation with both the negative and positive shifts is considered. A fitted non-polynomial spline approach is applied to solve the problem. Taylor series expansion process is being used to produce an approximated form of the considered problem, and then a fitted non-polynomial spline approach is devised in the form of a three-term recurrence relation. The convergence of the method is examined, and a quadratic rate of convergence is achieved. The maximum absolute error with quadratic rate of convergence of the solution is recorded. Layer profile is examined using the graphs.
Publisher
SCIK Publishing Corporation
Subject
Applied Mathematics,Geometry and Topology,Business and International Management,Analysis
Cited by
1 articles.
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